NASA Contractor Report 181624 .c 8

ICASE CUMULATIVE REIWRTS AND P U B L I C A T I O N S

through

DECEMBER 31, '1987

(IPASA-CR- 18 162U) C U U D L A T I V B E B E C R l S AND P88-19C49 PDBLfCBTZCliS 'IHLGGGH EECB5EEb ,? 1, 1987 Pinal BIEport ( N A S A ) 5 & F CSCL 12A

Unclas 63/59 01282E5

Contract Nos. NAS1-18107, NAS1-17070, NAS1-17130, NAS 1-15810, NAS 1-16394, NAS 1-14 10 1 , NAS 1 - 1447 2

February 1988

INSTITUTE FOB CCWUTER APPLICATIONS IN SCIENCE AUD EloGINEERING NASA Langley Rerearch Center, limpton, Vlrglnia 23665

flperated by the Universitle~ Space Research Association

https://ntrs.nasa.gov/search.jsp?R=19880009715 2020-05-28T13:44:56+00:00Z

Introduction

The I n s t i t u t e f o r Computer Appl ica t ions i n Science and Engineer ing (ICASE)

i s opera ted a t t h e Langley Research Center of NASA by t h e U n i v e r s i t i e s Space

Research Assoc ia t ion (USRA) under a c o n t r a c t wi th the Center. USRA i s a non-

p r o f i t consortium of major U. s. c o l l e g e s and u n i v e r s i t i e s .

The I n s t i t u t e conducts u n c l a s s i f i e d b a s i c r e sea rch i n app l i ed mathematics,

numerical a n a l y s i s , and computer sc ience i n o rde r t o extend and improve prob-

lem so lv ing c a p a b i l i t i e s i n sc i ence and engineer ing , p a r t i c u l a r l y i n aero-

n a u t i c s and space.

ICASE has a small permanent s t a f f . Research is conducted p r i m a r i l y by

v i s i t i n g s c i e n t i s t s from u n i v e r s i t i e s and i n d u s t r y who have r e s i d e n t appoint-

ments f o r l i m i t e d per iods of t ime, and by consu l t an t s . Members of NASA’s

r e sea rch s t a f f a l s o may be r e s i d e n t a t ICASE f o r l i m i t e d per iods .

The major c a t e g o r i e s of t he c u r r e n t ICASE r e s e a r c h program are:

a. Numerical- methods, wi th p a r t i c u l a r emphasis on t h e development and a n a l y s i s of b a s i c numerical a lgor i thms;

b. Control and parameter i d e n t i f i c a t i o n problems, wi th emphasis on e f f e c t i v e numerical methods;

c . Computational problems i n engineer ing and the phys ica l s c i e n c e s , pa r t i cu l i3 r ly f l u i d dynamics, a c o u s t i c s , s t r u c t u r a l a n a l y s i s , and chemist r y ;

d. Computer systems and sof tware , e s p e c i a l l y v e c t o r and p a r a l l e l computers, microcomputers, and d a t a management.

ICASE r e p o r t s are considered t o be p r i m a r i l y p r e p r i n t s of manuscr ipts t h a t

have been submitted t o appropr i a t e r e sea rch j o u r n a l s o r which are t o appear i n

conference proceedings. In t h e next s e c t i o n , a complete l i s t i n g of ICASE

r e p o r t s f o r t he ca lendar years 1975 through December 1987 a r e given. The

f i n a l s e c t i o n con ta ins j o u r n a l and conference proceedings r e fe rences f o r o l d e r

r e p o r t s .

P r e s e n t l y , ‘LCASE i s operated a t NASA Langley Research Center , Hampton, VA 23665 under NASA Contract No. NAS1-18107. I n t h e p a s t , support has been provided by NASA Cont rac ts No. NAS1-17070, NAS1-17130, NAS1-15810, NAS1-16394, NAS1-14101 and NPS1-14472.

i

1

ICASE Reports - 1987

Kamowit z , David : MLLetig&id applied t o b i n g d a t r pe tr tubdion ptroblem . ICASE Report No. 87-1, January 7, 1987, 27 pages. To appear i n Applied Mathe- ma t i c s and CoocFutation.

Jackson , T. L., A. K. Kapi la , and D. S. Stewart : Evolution 06 a Xocaecized thetrmat ex@ohion i n a /reactive gab. ICASE Report No. 87-2, January 8, 1987, 62 pages. Submitted t o SIAM J. of Applied Math.

S p a l l , R. E.. T. B. Gatski . and C. E. Grosch: On a c&ite&ion dotr VOtLtex - bkeakdown; ICASE Repor t No. 87-3, January 8, 1987, 23 pages. p h y s i c s of

F lu ids , Vol. 30, No. 11, November 1987, pp. 3434-3440.

Lohner, Rainald, lCen Morgan, Jaime P e r a i r e , and Mehdi Vahdati: Finite &anent deux-comected trtanbpolrt (FEM-FCT) d o t t h e € d e & and Navietr-Stoh equa- t iov lb . TCASE Report No. 87-4, January 15, 1987, 25 pages. I n t e r n a t . J. Numer. Methods F lu ids , Vol. 7, 1987, pp. 1093-1109.

Naik, Vi jay and Shlomo Ta’asan: Petr6o/rmance A t U d i U 06 the m d t i g & d &go- &thm implemented on hypettcube f f l d t i p h O C e 6 b o J L b ybtem . ICASE Report No. - 87-5, January 16, 1987, 21 pages. Proc. of t he 2nd Hypercube Multiproces- s o r Conference, 1987, pp. 720-729.

Roe, P. L.: E W L O ~ ~ Utimateb dotr c e u - v e a e x bol&ion6 06 .the comphUAib& Edetr equatiOn6. ICASE Report No. 87-6, January 22, 1987, 42 pages. To appear i n AIAA J.

Nicol , David and Frank H. Wi l la rd : Pkoblem b i z e , patr&el atrchitectuhe, and OptLntal bpeedup. ICASE Report No. 87-7, Apr i l 14, 1987, 30 pages. To appear i n J. P a r a l l e l and Di s t r ibu ted Computing.

Reneke, J. A. and R. E. Fennel l : RKH Apace apptroxim&ionA dart the deedback opekatorr i n a finean hetreditahy h y b t e m . ICASE Report No. 87-8, February 3, 1987, 23 pages. Submitted t o I n t e r n a t . J. Control.

Hussa in i , M. Y.: S t a b d i t y , t t r m a i o n , and tuhbdence. ICASE Report No. 87- - 9, February 27, 1987, 20 pages. Supercomputing i n Aerospace, NASA CP- 2454, pp. 211.-220.

Banks, H. T., R. K. Powers, and I. G. Rosen: lnveue ptroblem i n the model ing 0 6 vibtrdion5 0 6 dlexible beams. ICASE Report No. 87-10, February 27, 1987, 23 pages. D i s t r ibu ted Parameter Systems, Spr inger Lec. Notes i n Control and Inf . Sci., Vol. 102, 1987, pp. 1-22.

Props t , Georg: P i e c e a e f i n e m apptroximation 604 hetredCtatry conttroL ptrob- t e r n . ICASE Report No. 87-11, February 27, 1987, 74 pages. Submitted t o SIAM J. Control O p t i m .

Kee l ing , Stephen L.: On LipbchiAz c o n t i n d y 06 n o f i n e m did6etrentid opetra- t 0 U . ICASE Report No. 87-12, March 17, 1987, 12 pages. Submitted t o SIAM J. Numer. Anal.

2

Keel ing , Stephen L. : Gdertkin/Runge-Ku.Xta d.iAclretiz&ion.b do& b e m a n e m p u a b 0 l i . c e q u d i 0 n . b . ICASE Report No. 87-13, March 17, 1987, 31 pages. Submitted t o SIAM J. Numer. Anal.

Tomboulian, Sher ry l : A bybtem do& rtouZLng u b i t r t a h y d i n e c t e d gkaphb on SIMP atrchite&WuL4. ICASE Report No. 87-14, March 18, 1987, 24 pages. Sub- mi t t ed t o IEEE Trans. Comput.

Brezz i , F.: A dwrvey 0 6 mixed d i n i t e d e m e n t methods. ICASE Report No. 87- 15, March 18, 1987, 32 pages. Submitted t o Proc. Workshop on F i n i t e E le - ment Methods, Theory, and Appl ica t ion , S p r i n g e r V e r l a g . -

Hall, P h i l i p and W i l l i a m D. Lakin: The & U y n o & n e u d e v d o p m e n t 06 G ~ % Y L uoMice6 i n grtOWing h o u n d u y 1ayeh.b. ICASE Report No. 87-16, March 19, 1987, 35 pages. To appear i n Proc. Roy. SOC. Ser . (A) .

Jackson, T. L. and M. Y. Hussaini : An a 6 y m p t o t ~ C a n d y b , h 06 AUpeJrAOniC rte- a c t i n g m i x i n g laye&&. ICASE Report NO. 87-17, March 19, 1987, 16 pages. To appear i n Combustion Science and Technology.

Scheurer , B.: Remuhd on t h e d t a b W y an&y&.Lb 0 6 rteaczive 6x0~s. ICASE Report No. 87-18, March 20, 1987, 21 pages. Proc. Conference on Mathematical Modeling i n Combustion, Lyon, France, Apr i l 27-30, 1987.

Hariharan , S. I. and P. K. Dutt: Acoubtic g r t a u a y waueb: A computation& apprtaach. ICASE Report No. 87-19, March 24, 1987, 26 pages. To appear i n Applied Numerical Mathematics.

Er lebacher , G., M. Y, Hussa in i , C. G. Spez ia l e , and T. Zang: T o w u d t h e l u g e - e d d y bim&&ion 0 6 c o m p h a b i b l e XwrbLLeenX dlout6. ICASE Report No. 87-20, March 30, 1987, 38 pages. Submitted t o J. Flu id Mechanics.

Keyes, David E. and Mi tche l l D. Smooke: h d y d - i b 06 a p m a R Y e l i z e d none- ineu e U i p t i c boundmy v d u e prtoblem boluert W i t h a p p l i c a t i o n t o r teact ing dloUlb. ICASE Report No. 87-21, Apr i l 13, 1987, 28 pages. Submitted t o t h e Proc. of t he Symposium on P a r a l l e l Computations and Thei r Impact on Mechanics, American Soc ie ty of Mechanical Engineers Nat ional Meeting, Boston, A. H. Noor ( e d i t o r ) , December 13 - 18, 1987.

S a l t z , J o e l : Automated prtoblem b c h e U n g and rteduct ion 0 4 bynchrtonizat ion M a y e66ect6. ICASE Report No. 87-22, J u l y 14, 1987, 37 pages. Sub- mi t t ed t o SIAM J. Sci. S t a t i s t . Comput.

Gokhale , Maya : E x N o i t i n g l o o p leu& pu&e.&m i n nonprtacedund d d a d l o w prtogrtUm.5. ICASE Report No. 87-23, A p r i l 6, 1987, 19 pages. Proceedings of t h e I n t e r n a t i o n a l Conference on P a r a l l e l Processing, 1987.

Fix, George: S i n g u t a h d i n i t e e l e m e n t methods. ICASE Report No. 87-24, A p r i l 8, 1987, 32 pages. Advances i n F i n i t e Element Methods,D. Dwoyer, e t al. (eds.), Springer-Verlag.

3

Hall , P. and F. T. Smith: The nont.inem interraction 06 w a v u and TayXot-G5t&rr vorrtices i n cwrved channel No. 87-25, Apr i l 13, 1987, 38 pages. To appear i n (A)

ToUmien - W c h t i n g 6LOw6. ICASE Report Proc. Roy. SOC. Ser .

Daudpota, Q. I sa , P h i l i p Hall, and Thomas A. Zang: On the novdinem interr- action 0 6 Gb'/~;teerr v o r r t i c u and Tot.tmien-SchUchting waves i n cwtved chan- nel @ow6 at din.de Reynold6 numbeu. ICASE Report No. 87-26, Apr i l 21, 1987, 62 pages. Submitted t o J. Fluid Mech.

Gibson, J. S. and I. G. Rosen: Apprroxhation 0 6 cbcrrete-time LQG compen6a- t o u 604 cbttLibLLted ~ y ~ t e m with boundmy inpu-t and unbounded meahme- ment. ICASE Report No. 87-27, Apri l 24, 1987, 30 pages. To appear i n Automat i ca , 1 9 8 8.

Mac G i o l l a Mhuir is , Nessan: Lyapunov exponent6 60rr i n d i n i t e dimen6iona.t dynamic& dybtem. ICASE Report No. 87-28, Apr i l 24 , 1987, 16 pages. Proceedings of t he IMACS S i x t h I n t e r n a t i o n a l Conference on P a r t i a l Dif- f e r e n t i a l Equations.

Swanson, R. C. and E l i Turkel: A t t i s i C i d di64ipation and cent&& did@u?nce bchemeh 604 t h e €&et and Navierr-Stoheb equaX&m.b. ICASE Report No. 87- - 29, Apr i l 29, 1987, 54 pages. Proc. of t he AIAA 8 t h Computational F lu id Dynamics Conference, Hawaii, June 1987. Also, AIAA Paper 87-1107-CP.

Abarbanel, Saul , P r a v i r Dut t , and David Go t t l i eb : Sp&tting method6 &Lo Mach numberr €lute& and Navierr-Stokes equation6. ICASE Report No. 87-30, May 1, 1987, 27 pages. To appear i n Comput. and F lu ids .

I t o , Kazufumi: Strrong converrgence and converrgence rrdu 0 6 apprroximating doLu t ion4 do& d g e b t a i c Riccati equation6 i n Hilbetrt bpacu . ICASE Report No. 87-31, May 11, 1987, 20 pages. To appear i n Proceedings of t h e Conference on Control Theory f o r D i s t r ibu ted Parameter Systems, Vorau, Aus t r i a , 1987.

I t o , Kazufumi and Robert K. Powers: Chandrrasekhah equation6 do& in6iniZte dimeruiond b y ~ t e m d : Pat 21. Unbounded input and output cahe. ICASE Report No. 8'7-32, - May 11, 1987, 55 pages. SIAM J. Control Optim., Vol. 25, 1987, pp. 596-611.

Shu, Chi-Wang and Stan ley Osher: Eddicient hpLementation od ubent.&&'y non- oA&atotry 4hock captuking Achemu. ICASE Report No. 87-33, May 11, 1987, 73 pages. To appear i n J. Comput. phys.

Fatoohi , Raad A. and Chester E. Grosch: SaLving the Cauchy-Riemann equation6 on pa/rG%&x computeu. ICASE Report No. 87-34, May 26, 1987, 37 pages. Submitted t o Journa l of Supercomputing .

Macaraeg, M. G., C. L. S t r e e t t , and M. Y. Hussaini : An a n d y A h 06 ahtidicd v h c o ~ i t y edt(ect6 on rreacting &torn ubing a 6pectrra.t mutti-domain tech- nique. ICASE: Report No. 87-35, May 26, 1987, 16 pages. Submitted t o t h e

4

5 t h Tnterna t iona l Conference on Numerical Methods i n Laminar and Turbulent Flow.

Uaday, Y. and A. Quarteroni : E/rrrOk a n d y b h bok hpectrtd apprtoximatian 06 t h e Kokteweg-de V & L u e q u a t i o n . ICASE Report No. 87-36, June 8, 1987, 26 pages. To appear i n M AN Numerical Analys is , 1988. 2

Naik, Vijay K. and Shlomo Ta’asan: ImpLementaXion 06 muttig)Lid method6 6ok b o l v i n g Naviert-Stoheb equat ion6 on a muttipkocebbak dyb tem. ICASE Report No. 87-37, June 22, 1987, 33 pages. Proc. of t h e 6 t h IMACS I n t . Symp. on Computer Methods f o r PDE’s, Lehigh Un ive r s i ty , PA, June 23-26, 1987, pp. 389-396.

P r a t t , Terrence W.: The PISCES 2 p a h d e l p k a g k m i n g e n v d o n m e n t . ICASE Report No. 87-38, Ju ly 1, 1987, 15 pages. Proc. 1987 I n t e r n a t . Conf. on P a r a l l e l Process ing , S t . Char les , I l l i n o i s , Penn S t a t e Un ive r s i ty P r e s s (pub.) , August 17-21, 1987.

Nico l , David and J o e l H. S a l t z : P & L n e p l e s do& pkablem aggkega t ian and abbignment i n medium bcdee m d t i p t r o c u b o m . ICASE Report No. 87-39, September 18, 1987, 39 pages. Submitted t o IEEE Trans. Comput.

Ta’asan, Shlomo: MuRtigrcid method6 60k b i 6 m c a t i a n pkoblernb: The bee6 ad- j o i n t c u e . ICASE Report No. 87-40, J u l y 6, 1987, 36 pages. Submitted t o SIAM J. Sci . S t a t i s t . Comput.

E r l ebache r , G., S. H. Bokhari , and M. Y. Hussaini : An e 6 6 i c i e n t pak.lk%2& dga&Lthm 60k t h e aimuRaXian 0 6 t h k e e - d i m e u i a n a l compkebs ib le t k a n b i t i o n on a 20 pkacesbart F l e x / 3 2 mutticomp&tek. ICASE Report No. 87-41, J u l y 16, 1987, 19 pages. Submitted t o AIAA J.

Har iharan , S. I. and P. R. Karbhari: Cornpubbib le ~ a v i e 4 - S t a h e s equatiou: A a t u d y 0 6 l e a d i n g edge e d b e c b . ICASE Report No. 87-42, Ju ly 7, 1987, 26 pages. Submitted t o J. Comput. Phys.

Fa toohi , Raad A. and Chester E. Grosch: IrnpLementatian 0 6 an AD1 method on p a h d e e campLLteZ.4. ICASE Report No. 87-43, J u l y 14, 1987, 26 pages. J. Sc i . Comput., Vol. 2, No. 2, 1987, pp. 175-193.

Funaro, D. and D. G o t t l i e b : A new method 06 impaaing boundmy concfLtiou i n p e u d o a p e c t r t a l appkaximatianb 0 6 hypertbofic e q u a t i o u . ICASE Report No. 87-44, J u l y 15, 1987, 30 pages. To appear i n Math. Comp.

Er lebacher , G., T. A. Zang, and M. Y. Hussa in i : Spectkd muttig)Lid method6 d o t t h e aalLLtian 0 6 hamogeneaub t m b d e n c e ptroblemb. ICASE Report No. 87-

-9 45 J u l y 16, 1987, 21 pages. Proc. of t he Third Copper Mountain Conference on Mul t igr id Methods.

Ha l l , P h i l i p and Mujeeb R. Malik: The gkoutth. 0 6 G k Z k k v a k t i c e b i n campkes- b i b l e boundmy l a y e m . ICASE Report No. 87-46, August 18, 1987, 25 pages. Submitted t o a y s . F lu ids .

5

Burns, John, Kazufumi I t o , and Georg Propst : On nOVI-CObZVehgenCe ofj adjoint demigtroupd fjotr conttrol dydtemA w i t h d d a y a . ICASE Report No. 87-47, Ju ly 24, 1987, 32 pages. Submitted t o SIAM J. Control Optim.

Maday, Y. , A. T. P a t e r a , and E. M. Ronquist: A m - p o a e d o p t i m d bpecttrd element apptroximation 60'2 the S;tohu ptroblem. ICASE Report No. 87-48, J u l y 28, 1987, 45 pages. Submitted t o SIAM J. Numer. Anal.

Nicol, David M. and Paul F. Reynolds, Jr.: O p t i m d dynamic tremapping ofj pa&&el computatiom. ICASE Report No. 87-49, J u l y 27, 1987, 38 pages. Submitted t o IEEE Trans. Comput.

Nicol , David M. : Petrfjotrmance .iAbu&5 6otr domain-okiented time-d.&iven d h - ttLibuted dimidatiom. ICASE Report No. 87-50, Ju ly 31, 1987, 11 pages. To appear i n Proc. of t he 1987 Winter Simulat ion Conference.

Nicol , David M . : Mapping a b a t t l e d i d d dimu&&ion onto mubage-pading p a d - Lee m c h i t e c t u u . ICASE Report No. 87-51, October 14, 1987, 17 pages. Submitted t o Proceedings of SCS Conf . on Dis t r ibu ted Simulation.

Nicol , David M. and J o e l H. S a l t z : O p t i m d ptre-~ched&ing 06 ptroblem tremap- p i n g d . ICASE Report No. 87-52, September 18, 1987, 2 1 pages. Submitted t o 1988 SIGMISTRICS Conference.

Mavr ip l i s , D i m i t r i and Antony Jameson: M d t i g t L i d b o l u t i o n ofj the € d e & equa- t iom on unbttructutred and adaptive m a h u . ICASE Report No. 87-53, J u l y 28, 19117, 20 pages. Submitted t o t h e Proc. of t he 3rd Copper Mountain Mul t igr id Conference, A p r i l 1987.

Tadmor, Ei tan : The convetrgence ofj bpecttrd methoch 604 nod inem cometrvation &.TU&. ICASF: Report No. 87-54, August 5, 1987, 23 pages. Submitted t o SIAM J. Numer. Anal.

Geer, James and Carl Andersen: A h y b ~ d petrXwrbatian GaLetrkin technique w i t h appficatiom t o dlendetr body theotry. ICASE Report No. 87-55, August 5, 1987, 57 pages. To appear i n SIAM J. Appl. Math.

Harten, Ami : €140 dchemea w i t h aubc& truolution. ICASE Report No. 87-56, August 19, 1987, 62 pages. UCLA CAM Report 87-13. Submitted to J. Comp. Phys .

Eiseman, P. R. and G. Er lebacher: G k i d genetration d o t the doluZLon ofj p a & t i d difjfjetrentid equatiom. ICASE Report No. 87-57, August 26, 1987, 88 pages. To appear i n State-of-the A r t Surveys on Computer Mechanics, A. Noor (ed .), American Socie ty of Mechanical Engineers.

Keel ing, Stephen L. : Un i m p l i c i t Runge-Kutta methodd fjotr pm&el computa- t i o n h . - ICASE Report No. 87-58, September 2, 1987, 23 pages. Submitted t o B I T .

6

Wild, C h r i s t i a n : A n d y b h and a y n t h e b h 06 abbthact data t y p a thhough geneh&z&ion dhom examp&%. ICASE Report No. 87-59, September 4, 1987, 24 pages. Submitted t o IEEE Trans. Software Engrg.

Foias , C., 0. Manley, and R. Temam: On t h e intehaction 06 Am& and Lahge eddieb i n two dirnenaiond t w r b d e n t 6Lows. ICASE Report No. 87-60, September 8, 1987, 44 pages.

Keel ing, Stephen L. : G d e h h / R u n g e - K u $ t a dibtXeXiz&ionb d o t p a h a b o f i c equa- t i o n b w i t h time dependent coeddicienb . ICASE Report No. 87-61, September 9, 1987, 40 pages. Submitted t o Math. a m p .

Hussa in i , M. Y., D. A. Kopriva, and A. T. Pa t e ra : S p e C t h d c o ~ o c a t i o n methoch. ICASE Report No. 87-62, September 10, 1987, 70 pages. To appear i n IMACS J. N u m e r . Anal.

Tal-Ezer, H i l l e l : P O k j n O m i d a p p h o x h a t i o n 06 ~ u n c t i a n b 06 mat4ica and ia a p r n c a t i o n t o t h e boluXion 06 a genet& b ybtem 06 Lineah e q u a t i o m . ICASE Report No. 87-63, September 11, 1987, 46 pages. Submitted t o SIAM J. Numer. Anal.

Roe, P. I,.: Vhcontinuoub bolutionb .to h y p e t b o f i c a y b t e m undeh opehatoh bp&AX&g. ICASE Report No. 87-64, September 15, 1987, 34 pages. Sub- mi t t ed t o SIAM J. Numer. Anal.

Arens to r f , Norbert S. and Harry F. Jordan: Cornpah,b~j b a h ~ e t d g o 4 i t h m . ICASE Report No. 87-65, September 17, 1987, 39 pages. Submitted t o P a r a l l e l Computing.

S e t h i a n , James A. and Stan ley Osher: Fhona phopaga.CbIg w i t h cuhvatwre dependent bpeed: A e g o 4 i t h m b a e d on f famieton-Jacobi 6otmdatiom . ICASE Report No. 87-66, September 24, 1987, 53 pages. Submitted t o J. Comput. Physics .

B a y l i s s , A . , D. G o t t l i e b , B. J. Matkowsky, M. Minkoff: An a d a p t i v e pbeudo- bpec.thd method doh treaction did&&on p h o b l e m . ICASE Report No. 87-67, October 1, 1987, 42 pages. Submitted t o J. Comput. Physics .

LeVeque, Randall J. : t l igh h & b o ~ u t i o n d in i t e voLme methodb on a h b i t t r m y @db v i a wave phopagat ion. ICASE Report No. 87-68, October 20, 1987, 29 pages. Submitted t o J. Comput. Phys.

ICASE Reports - 1986

Canuto, C. and A. Quarteroni : On the boundmy t&eaXmen.t i n b p e c Z t a l m e t h o d doh hypehbol2.c b y b t e m . ICASE Report No. 86-1, December 27, 1985, 19 pages. J. Comput. Phys., Vol. 71, No. 1, J u l y 1987.

7

G o t t l i e b , D., L. Lustman, and E. Tadmor: S t a b i l i t y a n d y a d 06 A p e c Z R d method6 dorc hgpercbofic i n i t i d - b o u n d m y v d u e a y b t e m . ICASE Report No. 86-2, January 16, 1986, 38 pages. SIAM J. Numer. Anal., Vol. 24, No. 2 , A p r i l 1987, pp. 241-256.

h t t , P.: A Riemann aolverc b a e d on a g l o b d e x h t e n c e prcood 6orc t h e Riemann prcoblem. - ICASE Report No. 86-3, January 1 7 , 1986, 12 pages. Submitted t o J. Comput. Phys. but withdrawn.

S a l t z , J o e l H., S ' i jay K. Naik, and David M. Nicol: Reduct ion 06 t h e eddech 0 6 t h e communication de laya i n acie'ntidic d g o l L i t h m on meaaage pabaing MlMD a h c h i t e c t w m . ICASE Report No. 86-4, January 22, 1986, 26 pages. SIAM J. Sci. :Stat. Comput., Vol. 8, No. 1, January 1987, pp. 118-134.

Moi t ra , A., E. Turkel , and A. Kumar: A p p l i c a t i o n 0 6 a Runge-Kutta acheme 604 high-apeed i n v d c i d i n t e r c n d d l o u ~ 6 . ICASE Report No. 86-5, January 31, 1986, 26 pagles. AIAA Paper No. 86-0104, A I M 24th Aerospace Sc iences Meeting, January 6-9, 1986, Reno, Nevada.

Eidson, T. M., M . Y. Hussa in i , and T. A. Zang: S m & a t i o n 06 t h e t m b & e n t Rayleigh-Benakd prcoblern u s i n g a a p e c t r c d l 6 i n i t e diQ6ercence t e c h n i q u e . ICASE Report No. 86-6, February 4, 1986, 43 pages. Proc. EUROMECH 199 Di rec t and Large Eddy Simulat ion of Turbulent Flows, Munich, Germany, September 30 - October 2, 1985.

Nicol , David M. and Paul F. Reynolds, Jr.: An o p t i r n d t r e p m t i t i o n i n g d e c i b i o n p o f i c y . ICASE Report No. 86-7, February 10, 1986, 19 pages. Submitted t o IEEE Trans. on Software Engineering but withdrawn. -

G o t t l i e b , D., L. Lustman, and E. Tadmor: Convercgence 06 Apectkd method6 dotr hypetrbofic i n i t i d - b o u n d m y v d u e a y a t e m . ICASE Report No. 86-8, January 17, 1986, 15 pages. SIAM J. Numer. Anal., Vol. 24, No. 3, pp. 5 3 2-5 3 7.

Abarbanel, S . , A. Bay l i s s , and L. Zustman: Non-rce6lecting boundmy c o n d i t i o n h dorc t h e comprcaaib le Navierc-Stohea equaaXonn. ICASE Report No. 86-9, March 4, 1986, 26 pages. Inv i t ed l e c t u r e a t t h e 7 t h I n t e r n a t . Conference on Computing Methods i n Applied Science and Engineering, December 9-13, 1985, Versailles, France (INRIA).

Hariharan, S. I.:: Nontinearr acoustic wave prcopagaXion i n atmoaphetre. ICASE Report No. 86#-10, March 5, 1986, 2 8 pages. IMACS Proceedings on Computa- t i o n a l Acoust ics , August, 1986, Yale.

-

Banks, H. T. and K. A . Murphy: 2 u a n t i t a t i v e modeling 0 6 gtrowth and & p e a & i n popuAkXion mode&. ICASE Report No. 86-11, March 17, 1986, 13 pages.

Lakin, W. D.: A combined i n t e g t r a t i n g and d i 6 & h e n $ k ~ t ~ n g rnaa2.k 6orcrnLLeutLon do& boundmy v d u e prcoblem on trectang&m domainn. ICASE Report No. 86- -' 1 2 March 1 7 , 1986, 30 pages. J. Engrg. Math., Vol. 20, 1986, pp. 203- 215.

8

I q b a l , M. Ashraf, J o e l H. S a l t z , and Shahid H. Bokhari: Petdotunance taadeoQda i n atat ic and dynamic l oad balancing h t & a t e g i u . ICASE Report No. 86-13, March 17, 1986, 24 pages. Proc. of t he 1986 I n t e r n a t . Conf. on P a r a l l e l Processing, August 1986, pp. 1040-1047.

Turke l , E. : PmcondiAioned m e t h o h Qot a o l v i n g the incomptredaible and l o w apeed compmaaible equd.Lonb. ICASE No. 86-14, March 20, 1986, 38 pages. J. Comp. Phys., Vol. 72, 1987, pp. 277-298.

Gibson, J. S . and I. G. Rosen: NumelLicd appkoximation Qorr the i n d i n i t e - d imenbional d incute- t ime o p t i m a l linean-quadtratic t egu la to t r p t o b l e m . ICASE Report No. 86-15, March 20, 1986, 82 pages. To appear i n SIAM J. Cont. Opt. , Vol. 26, No. 2, March 1988.

Gibson, J. S. and I. G. Rosen: S h i d t i n g the d o d e d - l o o p apecttum i n the o p t i m a l f inean quadtratic ~ ~ e g u l a t o ~ p t o b l e m Qat heuxL&ny ayatem . ICASE Report No. 86-16, March 20, 1986, 47 pages. IEEE Trans. Auto. J. Cont ro l , Vol. AC-32, No. 9, September 1987, pp. 831-836.

Sh ih , @-Gang: On t h e exhtence oQ d o l a i o n a Qo'r an equaXion aniding i n the Zheorry od Xamincvr Beow i n a unidomnty porroun channeC w i t h injeczion. ICASE Report No. 86-17, March 21, 1986, 26 pages. SIAM J. Appl. Math., V O ~ . 47, NO. 3, 1987, pp. 526-533.

South, J. C., Jr. and M. Y. Hussa in i , (eds . ) : Advancu in n w n e ~ c d and uppiked mathematiu. ICASE Report No. 86-18, March 28, 1986, 597 pages. Applied Numerical Mathematics, Vol. 2, Nos. 3-5, 1986, pp. 161-437.

Lee, Tai-yong, Costas Krava r i s , and John H. Se in fe ld : tl.ibtoJLy matching b y ap&ne appttaxima$ion and tceg&&zation i n dingle-phabe meal huehvoikA. ICASE Report No. 86-19, March 31, 1986, 53 pages. SPE Reservoi r Engineer ing, September 1986, pp. 521-534.

Mac Gio l l a Mhuiris, Nessan: The conatuct ion and ube 06 divehgence Qttee vectok expanbionb d o t incompRuaibLe Q l u i d Q l o w cdculationb . TCASE Report No. 86-20, Apr i l 15, 1986, 2 1 pages. To appear i n Proceedings of a Spec t r a l Methods Workshop.

B a y l i s s , A., K. E. Jordan, B. J. LeMesurier, and E. Turkel: A Qowth otrdetr acemate Qinite diQQetrence acheme Qo)r t h e computation oQ elabt ic wavea. ICASE Report No. 86-21, Apr i l 23, 1986, 44 pages. B u l l e t i n of the Seismo- l o g i c a l Soc ie ty of America, Vol. 76, No. 4 , August 1986, pp. 1115-1132.

Harten, A m i , Bjorn Fngquis t , S t an ley Osher, and Sukumar R. Chakravarthy: UniQohmLy h igh otrdet accutate u h entkd%j non-oh d a t o t y a chemu 1 I I . ICASE Report No. 86-22, Apr i l 29, 1986, 97 pages. J. Comput. Phys., Vol. 71, NO. 2, 1987, pp. 231-303.

Ta'asan, Shlomo: MultiglLid method dot the eqLLieiblLium equationb oQ d a b t i c i t y U i n g a compact acheme. ICASE Report No. 86-23, Apr i l 30, 1986, 25 pages. J. Comp. Phys ics , Vol. 73, No. 2, 1987, pp. 432-446.

9

Reed, Daniel A., Loyce M. Adams, and Merre l l L. Pa t r i ck : Sten& and ptroblem pCm%.iOningb : Theitr inh luence on t h e petr6otrmance 06 m u l t i p l e ptroce6d oh bybtem6. ICASE Report No. 86-24, May 2, 1986, 47 pages. IEEE Trans. Comput., V o x C-36, No. 7, J u l y 1987, pp. 845-858.

Hussa in i , M. Y. and T. A. Zang: SpecZkd metho& i n @aid dynamicb. ICASE Report No. 136-25, May 5, 1986, 61 pages. Annual Review of Fluid Mechanics, Val. 19, 1987.

Hussa in i , M. Y., W. D. Lakin, and A. Nachman: On 6 i m a d t y 06 a boundany layerr ptrobleni wi-th an uphtheam moving w a l l . ICASE Report No. 86-26, May 9, 1986, 25 pages. SIAM J. Appl. Math., Vol. 47, No. 4, August 1987, pp. 699-709.

m e n , T. F. and G. J. F i x : L e u t dquaheb dinite d e m e n t 6irnutaZion 05 ttransonic d~olU6. ICASE Report No. 86-27, May 9, 1986, 28 pages. Applied Numerical Mathematics, Vol. 2, 1986, pp. 399-408.

Kopriva, David: .A 6pecttraX mul t idomain method do& t h e a o l u t i o n 06 hypetrbol ic bydtemh. - ICASE Report No. 86-28, May 9, 1986, 47 pages. Applied Numeri- tal Mathematics, Vol. 2, 1986, pp. 221-241.

Ta’asan, Shlomo: MLLetighid method doh a votrtex btreahdown 6 imulaXian. ICASE Report No. 86-29, - May 9, 1986, 2 2 pages. Applied Numerical Mathematics, Vel. 2, 1986, pp. 303-311.

Gunzburger, M. D. and R. A. Nicola ides : On 6t t rUC~umhg dgOhi thm6 and da tu- t i o n technique6 hofc t h e numetLicaX appaoximaXion 06 pantiat di6detrentia.t eqUaZi0VU. ICASE Report No. 86-30, May 9, 1986, 32 pages. Applied Numerical Mathematics, Vol. 2, 1986, pp. 243-256.

S t r ikwerda , J. C.l, B. A. Wade, and K. P. Bube: Regula-tity a t i m a L e 6 up t o t h e boundmy 604 ( i l%pt ic dybtemh 06 didfjehence e q u d i o n n . ICASE Report NO. 86-31, May 8, 1986, 65 pages. To appear i n SIAM J. Numer. Anal.

Burns, J. A., E. M. C l i f f , and R. K. Powers: ComputaXionat method doh t h e contfcok? 06 d i 6 t h i h u t e d panametetr b y b t e m . ICASE Report No. 86-32, May 12, 1986, 18 pages. Proc. of the 24th IEEE Conf. on Decis ion and Control , December 1985, pp. 1994-1998.

Tadmor, Ei tan : k minimum enthopy p k i n c i p l e i n t h e gaS dynumicb equa;tionb. ICASE Report No. 86-33, May 20, 1986,. 20 pages. Applied Numerical Mathematics, Vol. 2, 1986, pp. 211-219.

Mac G i o l l a Mhuir is , Nessan: C d c d a X i O v t 6 06 t h e d $ a b a i t y 06 dome axihym- meth ic dlom ietropohed az a model! 06 vohtex btreakdown. ICASE Report No. 86-34, May 20, 1986, 36 pages. Applied Numerical Mathematics, Vol. 2, 1986, pp. 273-290.

S p e z i a l e , Cnarles G.: On t h e advantaged 06 t h e v o t r t i c i t y - v d o c i t y dotrmulat ion 06 t h e e q u d i o n s 06 6l lL id dynamicb. ICASE Report No. 86-35, May 20, 1986, 10 pages. J. Comp. Phys., Vol. 73, No. 2, December 1987, pp. 476-480.

10

South , J e r r y C., Jr. , Mohammed M. Hafez, and David Go t t l i eb : S t a b i l i t y anaQbLb oh intekrnediate boundmy con&tionb in appkoximate rfac.to&kation bchekb. -1CASE Report No. 86-36, May 20, 1986, 27 pages. Applied Numerical Mathematics, Vol. 2 , 1986.

Swanson, R. C. and E. Turkel : Pbeudo-the dgo4ithm 60/r the Naviek-Stoha equafionb. ICASE Report No. 86-37, May 21, 1986, 32 pages. Applied Numerical Mathematics, Vol. 2, 1986, pp. 321-334.

Banks, H. T. and D. W. I les : On cornpactnab 06 adminbible pmametek be&: Convekgence and b t a b i l i t y i n i n v e u e pkoblem didt/LibcLted pmametek aybtemb. ICASE Report No. 86-38, June 9, 1986, 16 pages. To appear i n Proc. IFIP Conf. on Control Systems Governed by P a r t i a l D i f f e r e n t i a l Equations.

Er lebacher . Gordon and Yousuff Hussaini : 7ncipien.t tkansit ion phenomena in compk&bible @~utcl ovek a @ U t pklh2. ICASE Report No. 86-39, June 10, 1986, 2 1 pages. Proc. 10th I n t e r . Conf. on Numer. Methods i n F lu id Dynamics, June 198 6.

Iqba l , M. Ashraf: ApprroximcGte ~5otLi.thm 504 pm.tiaXoning and cmsignment pkoblem. ICASE Report No. 86-40, June 10, 1986, 16 pages. Submitted t o IEEE Trans. Computers.

Bokhari , Shahid : MuRtipkocaning the bieve 06 Ekatobthena . ICASE Report No. 86-41, June 17, 1986, 26 pages. IEEE Computer, Vol. 20, No. 4, 1987, pp. 50-58.

N ico la ides , R. A.: Conbtkuction 06 highek okdek accuate vok.tex and pahZL&e mexhoh. ICASE Report No. 86-42, June 13, 1986, 20 pages. Submitted t o Applied Numerical Mathematics.

Lamm, P a t r i c i a K. and Kather ine A. Murphy: Ebtirn&ion 06 dibcontinuoub coe66icien& and boundmy patLameteU 60k hype4bol-i~ bybtemb . ICASE Report No. 86-43, June 18, 1986, 39 pages. To appear i n Quart . Appl . Math.

Goldberg, Moshe and E i t an Tadmor: Convenient b t a b u t y crtitettia do& did- detente appkoxhn&ionb 06 hypekbol-ic in i t i d -boundmy v d u e pkoblem 7 1 . ICASE Report No. 86-44, June 25, 1986, 38 pages. Math. Comp., Vol. 48, 1987, pp. 503-520.

Nicol , David M. and J o e l H. S a l t z : PynamiC &?mapping 06 ptvr&e.t computatiom w i t h v m y i n g kaowrce demanh. ICASE Report No. 86-45, Ju ly 18, 1986, 55 pages. Submitted t o IEEE Trans. Comput.

S a l t z , Joe l H. and David M. Nicol : StaZLhtkcd methodologies 6ok the contkol 06 dynamic kemapping. ICASE Report No. 86-46, J u l y 8, 1986, 33 pages. To appear i n Proceeding ARO.

Poore, Aubrey B. : The expanded Langkangian bybtem 6ok conbahained optirniza- . t ion phoblem. ICASE Report No. 86-47, Ju ly 9, 1986, 29 pages. To appear i n SIAM J. Control O p t i m .

11

Maest r e l l o , Lucio, Alvin Bayl i ss , Paresh Par ikh , and E l i Turkel: StabLtity and conttrol 06 comptraaihle &~uu owe4 a bwrQace w i t h concave-convex cwrvatwre. :[CASE Report No. 86-48, Ju ly 9, 1986, 34 pages. Submitted t o J. F lu id MecTi.

Rosenfeld, M., M. I s r a e l i , and M. Wolfshtein: A numettical? b t u d y 06 bepanation on a bphetroid at incidence. ICASE Report No. 86-49, Ju ly 11, 1986, 35 pages. To appear i n A I M .

S i d i , Avram and Ivloshe I s r a e l i : Numettical? quahatwre methoh Qotr integtra& oQ d i n g d m pemu:odic Qunctionb and theitr appfication t o aingcLewL and weahey b i n g d m int4!g&al? equationh. ICASE Report No. 86-50, J u l y 16, 1986, 35 pages. Submitted t o SIAM J. Numer. Anal.

Lustman, Liv iu P:. and Milton E. Rose: A thtree dimenaional? cdccLeation oh d a b t i c equilibttium Qotr compobite matettiah. 24, 1986, 28 pages. To appear i n I n t e r n a t . J. Numer. Methods Engrg.

ICASE Report No. 86-51, Jul;

Hariharan, S. I. and S . I. Sudharsanan: Wave envelope technique dotr mdtimode wave guide paablenu. ICASE Report No. 86-52, J u l y 30, 1986, 29 pages. To appear i n S c i e n t i f i c Computation.

Nicol , David M.: O p t i m a l pant i t iming 06 trandom ptrogtramb aChoda two p t rOCUbo4A. ICASE Report No. 86-53, - August 1, 1986, 26 pages. Submitted t o IEEE Trans. Software Engrg.

Jordan , Harry F.: The dotrce on the Flex: Global? pmUelLhm and potrta6i.l- ity. ICASE Report No. 86-54, August 5, 1986, 2 1 pages. To appear i n Pa ra l l e l Processing and Medium Scale Mu1 t i p r o c e s s o r s , Arthur Wouk (ed .) , SIAM, Ph i l ade lph ia , 1987.

Nicol , David M. : Expected petrQotrmance 06 m-boluXion bachttracking . ICASE Report No. 86-55, - August 5, 1986, 25 pages. To appear i n SIAM J. Comput., Vel. 17, No. 1, February 1988.

Jackson, T. L.: Ehdect or; thetrmd expanbion on the d t a b i l i t y or( two-treactant - - &zna. - ICAISE-Report- No. 86-56, August, 18, 1986, 13 pages. Combined Science and Technology, Vol. 53, 1987, pp. 51-54.

Hussa in i , M. Y.: Recent developmen& i n dpedtral? method. ICASE Report No. 86-57, August 29, 1986, 19 pages. Proc. 10th I n t e r . Conf. Numer. Meth. i n F lu id Dynamics, Springer-Verlag, F. G. Zhuang and Y. L. Zhu ( eds . ) , pp . 18-29.

N ico l , David M. and Paul F. Reynolds: Dynamic tremapping decisiovu i n m d t i - phade pan&e.t computat~onb. ICASE Report No. 86-58, September 8, 1986, 47 pages. Submitted t o IEEE Trans. Comput. bu t withdrawn.

S t r e e t t , C. L. and M. Y. Hussaini : FinLte l e n g t h ed6ect.b i n Taylotr-Couette Qlow. ICASE Report No. 86-59, September 9 , 1986, 30 pages. Proc. Work- shop on the S t a b i l i t y of Time-Dependent/Spatially Varying Flows, Springer- Verlag, Doug 13woyer and M. Y. Hussaini ( e d i t o r s ) , pp. 312-330.

1 2

Solomonoff, A. and E. Turkel : Glob& co.#bcation methodd doh a p p t o x h n a t i o n and t h e bo lu t ion 06 p a h t i d d i d d e h e n t i d ecjudionb. ICASE Report No. 86- 60, September 1 7 , 1986, 67 pages. Submitted t o J. Comput. Physics . Revised under the t i t l e M o b & phopelctied 06 pdeudoapecXhd methoch. -

Bernard i , C h r i s t i n e , Claudio Canuto, and Yvon Maday: G e n e h d i z e d ind-bup condition don Chebydhev appaox imat ion 06 .the NUVieh-stOhU equat iou . ICASE Report No. 86-61, November 7, 1986, 67 pages. P a r t 1 of t h i s paper w i l l appear i n SIAM J. Numer. Anal.

Gunzburger. M. D. : Mathematic& a p e c b 06 hin i t e d e m e n t m e t h o h doh i n - - - compheaaib le v h C o U b @h#b. ICASE Report No. 86-62, September 181 1986, 46 pages. Submitted t o F i n i t e Element Theory and Appl ica t ion , S p r i n g e r Verlag.

LeVeque, Randall J. and Lloyd N. Trefethen: FowLiet a n d y b h 06 t h e SOR i t e h a t i o n . ICASE Report No. 86-63, September 30, 1986, 9 pages. To appear i n IMA J. Numer. Anal.

k t t , Pravir and Shlomo Ta'asan: A A p f i n e - b a e d pahamete& estimation t e c h - nique d o t A X U ~ % ~ mod& ad ehl.bXic bthUctUeb. ICASE Report No. 86-64, October 8, 1986, 33 pages. To appear i n Applied Numer. Math.

Ta'asan, Shlomo and P rav i r D u t t : PahUmk!$e& e b t i m a t i o n phoblem doh d i 6 X h i b u t e d a y b t e m u a i n g a m d t i g h i d method. ICASE Report No. 86-65, October 8, 1986, 19 pages. To appear i n Quar t e r ly of Applied Math.

Myers, Thomas J. and Maya B. Gokhale: P U h d l k t bchedue-ing 06 h e C W i V d l j de- d i n e d UhhCUjb. ICASE Report No. 86-66, October 3, 1986, 26 pages. To appear i n J. Sym. Comp.

Gokhale, Maya B.: PS: A nonphocedwrd language w i t h data typea and modueea. ICASE Report No. 86-67, October 3, 1986, 20 pages. To appear i n F a l l J o i n t Computer Conference under the t i t l e kegok i thm b p e c i d i c a t i o n i n a v e t y h i g h l e v e l laHguage.

Napoli tano, M. and J. H. Morrison: Eddicient bo&.2%onb 06 t w o - d i m e n b i o n d i n - compheabibte b&ady v.C6coub @OW. ICASE Report No. 86-68, October 16, 1986, 46 pages. To appear i n Comput. & Fluids .

Harten, A.: On t h e n o n L h e a h i t y 06 modehn dhoch-captwLing bchemea. ICASE Report No. 86-69, October 1 7 , 1986, 62 pages. To appear i n Proc. of "Wave Motion: Theory, modeling, and computations," U.C. Berkeley, June 9-12 1986, S p r i n g e r V e r l a g , A. Chorin (ed . ) .

Banks, H. T. and I. G. Rosen: Computation& methoch doh t h e i d e n t i d i e a t i o n 05 b p a t i a U y vatrying bti66nebd and damping i n beams. ICASE Report No. 86-70, October 22, 1986, 42 pages. Control-Theory Adv. Tech., Vol. 3, 1987, pp. 1-32.

13

Banks, H. T., S . S . Gates, I. G. Rosen, and Y. Wang: The i d e n t i d i c a X i o n 06 a d i n t ~ b c L t e d patrameteh model doh a d l e x i b l e athuctuhe. ICASE Report No. 86-71 October 22, 1986, 43 pages. To appear i n SIAM J. Control Optim., 1988. -’

Gibson, J. S . arid I. G. Rosen: Computat ionat m e t h o d doh o p t i m a l f ineah- q u u d h a t i c cornpenbatou doh i n d i n i t e d i m e m i o n a t dinchete-Zime a y b t e m . ICASE Report No. 86-72, October 2 2 , 1986, 25 pages. Proc. of the Conf. on the Control .and I d e n t i f i c a t i o n of D i s t r ibu ted Parameter Systems, Vorau, A u s t r i a , Springer-Verlag , Franz Koppel, e t a l . ( eds .) .

Bennett , J. and P. H a l l : On t h e Aecondmy inbtab&ty 06 TagXoh-G6htleh vo&tica t o T o U m i e n - S c U i c h t i n g w a v a i n d&y-developed @om . ICASE Report No. 86-73 November 17, 1986, 46 pages. To appear i n J. Flu id Mech.

-’

Tadmor, E. : Convenient t o t a l ? v a h i a t i o n d i m i n h h i n g c o n d i t i o n b doh novdineah d iddehence a c h e m a . ICASE Report No. 86-74, November 18, 1986, 32 pages. To appear i n SIAM J. Numer. Anal.

Roe, P. L. : Remote houndwry c o n d i t i o v u doh u m t e a d y muXtidimenbionaL aeho- dynamic computaXioM. ICASE Report -No. 86-75,- November 18, 1986, 26 pages. To appear i n Computers and Fluids .

Banks, H. T. and K. I t o : A numetticat atgot t i thm doh o p t i m a l deedback ga.lnb i n h i g h dirnenbio,rzd LqR p t r o b l e m . ICASE Report No. 86-76, November 18, 1986, 31 pages. To appear i n SIAM J. Control Optim.

Temam, Roger: Swrvey 05 t h e ataXuh 06 dinde e l e m e n t metho& doh p w i d did&mwtiat equationb. ICASE Report No. 86-77, November 18, 1986, 63 pages. Proceedings of the F i n i t e Element Workshop a t Hampton, V i rg in i a , Springer-Ve r l a g .

Nico la ides , R. A. and Shenaz Choudhury: 123iY~dive me;tho& dot dini.te e l e m e n t equaX.ionb on genehat m a h a . ICASE Report No. 86-78, November 25, 1986. Submitted t o the Proceedings of the F i n i t e Element Workshop a t Hampton, V i rg in i a , Springer-Verlag .

Ma, C. C. H.: ‘Inhetent atabLtli.ty 4 o b u t n a a oh a d a p t i v e c o n t t o l sybtem. ICASE Report No. 86-79, November 14 , 1986, 39 pages. Control Theory and Advanced Technology, Vol. 3, No. 3, September 1987, pp. 197-216.

Brenier , Yann and Stan ley Osher : The din chete one-b ided L ipb c h i t 2 c o n d i t i o n doh convex acalatr c o n b e h v a t b n &u&5. 1986, 33 pages. To appear i n SIAM J. Numer. Anal.

ICASE Report No. 86-80, November 25,

Adams, Loyce, Randy LeVeque, and David Young: A n a t y h h od t h e a R ~ t e h a X i o n doh t h e 9 - p o i n t Laplac ian. ICASE Report No. 86-81, December 8, 1986, 40 pages. To ap:pear i n SIAM J. Numer. Anal.

14

Kopriva, David A. : A p k a c t i c d abaeabment 06 4 p e c t t d accwiacy d o t hypekbolic ptoblem w i t h dhcont inui t iea . ICASE Report No. 86-82, December 9, 1986, 22 pages. To appear i n J. Sc i . Comp.

H a l l , P h i l i p : The novLecneatc devdopment 06 Gbtdlet v o t t i c e a i n gkouling boundmy l a y e m . ICASE Report No. 86-83, December 9, 1986, 52 pages. To appear i n J. Fluid Mech.

ICASE Reports: 1985

Ortega , J. M. and R. G. Voigt: S o k d i O n 06 p a t t i & did6ehentid ecgu&Ahlb on v e c t o t and pm&el computem. ICASE Report No. 85-1, January 2, 1985, 173 pages. SIAM Review, Vol. 27, No. 2, June 1985, pp. 149-240.

Voigt, R. G.: Wheke m e the pah&ee dgol t i thm? ICASE Report No. 85-2, January 16, 1985, 14 pages. 1985 Nat iona l Computer Conference Proceedings, M I P S Press , Reston, VA, pp. 329-334.

G o t t l i e b , D. and E. Tadmor: Recove&Lng poinZwL6e v d w 06 diAconZinuoub daXa w i t h i n s p e c t t d accwracy. ICASE Report No. 85-3, January 31, 1985, 20 pages. Progress and Supercomputing i n Computational Fluid Dynamics, (E. M. Murman and S. S. Abarbanel, eds . ) , Birkhauser Boston, Inc. , 1985, pp. 357-375.

Noonan, R. E.: An dgol t i - thm dolt genek&ing abattac-t 4yntax $keeh. ICASE Report No. 85-4, January 31, 1985, 18 pages. Computer Languages, Vol. 10, NO. 3-4, 1985, pp. 225-236.

Lakin, W. D.: Vid6etentiating matlticea d o t artbi tkahiey bpaced g l t id p a i n & . ICASE Report No. 85-5, January 31, 1985, 23 pages. I n t e r n a t . J. Numer. Methods Engrg., Vol. 23, 1986, pp. 209-218.

Fleming, P. J.: SUBOPT - A CAD p t o g ' r m d o t 4uboptima.t f inem heg&&oKb. ICASE Report No. 85-6, February 4, 1985, 16 pages. Proc. I n s t i t u t e of Measurement and Control Workshop on Computer-Aided Control System Design, Brighton, England, September 1984, pp. 13-20.

Banks, H. T. and I. G. Rosen: A Gdetk in method dot -the e b t i m d i o n 06 pmameteu i n hybhid hydtemd govetning .the v i b t d i o n 06 dlexible b e m wi-th ZLp bodiea. ICASE Report No. 85-7, February 5, 1985, 44 pages.

Tal-Ezer, H. : The e i g e n v d u a 06 the paeudoapecttd F a d e & appkoxirnation t o - ICASE Report No. 85-8, February 7, 1985, 10 t h e opekdok s i n ( 2 x ) -

pages. Submitted t o Math. Comp.

a ax

Tal-Ezer, H.: S p e c t t d methoh i n time 6ok pCU~abofic pkoblem. No. 85-9, February 8, 1985, 19 pages. To appear i n SIAM J. Numer. Anal.

ICASE Report

15

Tadmor , E. : Complex b ymmet&ic matkiced with b t h o n g l y btabte i&V~atU . ICASE Report No. 8-5-10, - February 14, 1985, 22 pages. L inear Algebra and Appl., Vel. 78, 1986, pp. 65-77.

Turke l , E. : A&jo&ithm doh t h e €&e& and Navieh-Stoheb equations 604 bupeh- compLLterrb. -]:CASE Report No. 85-11, February 14, 1985, 27 pages.- Progress and Supercomputing i n Computational F lu id Dynamics, (E. M. Murman and S. S . Abarbanel, eds . ) , Birkhauser Boston, Inc. , 1985, pp. 155-172.

P r a t t , T. W.: ?"ISCES: An envi.honment doh pah&e.t bC&nt id iC COmpLLtatiOn. ICASE Report No. 85-12, February 15, 1985, 30 pages. IEEE Trans. Software Engrg., Vol. 2, No. 4, Ju ly 1985, pp. 7-20.

Harabe t ian , E.: A conuehgent dekiU expannion doh hypehbolic byb&mb 06 con- hehvation &liUb. ICASE Report No. 85-13, February 20, 1985, 88 pages. Trans. h e r . Math. Soc., Vol. 294, No. 2, Apr i l 1986, pp. 383-425.

Abarbanel, S . arid D. G o t t l i e b : ZndohrnaXion content i n bpec thd c d c d a - Xionb. ICASE Report No. 85-14, February 21, 1985, 13 pages. Progress and Supercomputing i n Computational Fluid Dynamics, (E. M. Murman and S. S . Abarbariel, eds . ) , Birkhauser Boston, Inc., 1985, pp. 345-356.

Cox, C. L. and (;. J. Fix: On the accmacy 06 l ead t dqUUhed method6 i n the phaence 06 cohneh b i n g d m i - t i a . ICASE Report No. 85-15, February 21, 1985, 24 pages, Comput. Math, Appl., Vol. 10, No. 6, 1985, pp. 463-475.

Noonan, R. E. and W. R. Co l l in s : C O n b t h U C t i O n 06 a menu-baed bybtem. ICASE Report No. 85-16, February 26, 1985, 11 pages. Submitted t o Software P r a c t i c e and Experience but withdrawn.

Maday, Y.: AndqbLh 06 b p e d h d opehatorrb i n one-dimenbiond domaim. ICASE Report No. 85-17, - February 28, 1985, 26 pages. Submitted t o Math. Comp.

Roe, P. L.: Vibaete mod& dorr .the nwnercicd anaLya-iS 0 6 Xime-dependent m & X ~ d h e n b i o n d gab dynamLc6. ICASE Report No. 85-18, March 1, 1985, 36 pages. J. Comput. Phys., Vol. 63, No. 2, Apr i l 1986, pp. 458-476.

Zang, T. A. and M. Y. Hussaini : A thhee-dimenbiond bpec thd d g o k i t h m doh bimdcttiom 05 thanbition and turtbdence. ICASE Report No. 85-19, March 6, 1985, 39 pages. AIAA Paper No. 85-0296 presented a t t he A I M 23rd Aerospace Sciences Meeting, January 14-17, 1985, Reno, Nevada.

Drummond, J. P.!, M. Y. Hussa in i , and T. A. Zang: S p e d h d method6 doh model ing d upi!tM onic chemic& y heacting @ow &Let?& . ICASE Report No . 85-20, March 8, 1985, 37 pages. AIAA J., Vol. 24, 1986, pp. 1461-1467.

LeVeque, R. J.: Intehmediate boundahy cond,iXionb doh LOV, AVl, and U p p h O X h a t e , $ a c t o ~ z a t i o n meZhod6 . ICASE Report No. 85-2 1, Apr i l 1 7 , 1985, 24 pages.

16

Rosen, I. G.: S p l i n e - b a e d R a y l e i g h - R i t z method6 d o t t h e apptroximation 06 t h e n a t w r d moded oh v i b t r d i o n Aotr Alexible beam w i t h t i p b o d i e d . ICASE Report No. 85-22, March 18, 1985, 31 pages. Quar te r ly of Applied Mathematics, Vol. X L I V , No. 1, Apr i l 1986, pp. 169-185.

B a y l i s s , A., L. Maes t r e l lo , P. Par ikh , and E. Turkel : N u m e ~ c d A i m ~ a Z L o n ad boundmy layetr e x c i t a t i o n b y hwdace h e a Z i n g l c o o l i n g . ICASE Report No. 85-23, March 25, 1985, 22 pages. AIAA Paper No. 85-0565, A M Shear Flow Control Conference, March 12-14, 1985, Boulder, CO. AIAA J., Vol. 2 4 , pp. 1095-1101, 1986.

Hossain, M., G. Vahala, and D. Montgomery: Forreed MflP t w b u t e n c e i n a unidotrm extetmd magnet ic d i a d . ICASE Report No. 85-24, March 28 , 1985, 39 pages. Phys. F l u i d s , Vol. 28, No. 10, 1985, pp. 3074-3081.

Davis, S . F.: Shock cap-twLing. ICASE Report No. 85-25, Apr i l 26, 1985, 23 pages. To appear i n Numerical Methods f o r P a r t i a l D i f f e r e n t i a l Equat ions, ( S . I. Hariharan and T. H. Moulden, eds . ) , Pitman Press, 1986.

Brandt, A. and S. Ta’asan: MLLetig)tid AOLUX~OM to quabi-&iptic b c h e m a . ICASE Report No. 85-26, May 10, 1985, 21 pages. Progress and Super- computing i n Computational F lu id Dynamics, (E. M. Murman and s. Abarbanel, eds .), Birkhauser Boston, Inc. , 1985, pp. 235-255.

Zang, T. A. and M. Y. Hussaini : On h p e c t t r d m u t t i g ~ d method6 d o t t h e time- dependent Navietr-Stoked equaXLonb. ICASE Report No. 85-27, May 13, 1985, 24 pages. Presented a t t h e 2nd Copper Mountain Conference on Mul t igr id Methods, Apr i l 1-3, 1985, Copper Mountain, CO. Applied Mathematics and Computation.

Osher, S . and E. Tadmor: On t h e convetrgence 06 did@rrence apptroximationb $0 h c d m conbetrv&ion &lUb. ICASE Report No. 85-28, May 14, 1985, 70 pages. To appear i n Math. Comp., 1988.

Mehrotra. P. and J. Van Rosendale: The BLAZE language: A p a h U e l language - - doh bcient idic ptrogtramming. ICASE Report No. 85-29, k y 15, 198?, 57 pages. P a r a l l e l Computing, Vol. 5, 1987, pp. 339-361.

Trefe then , L. N. and L. Halpern: WeU-pohednedh 0 6 one-way wave equat ion6 and abhotrbing boundmy c o n d i t i o n b . ICASE Report No. 85-30, June 10, 1985, 23 pages. Math. Comp., Vol. 47, 1986, pp. 421-435.

Majda, G.: A new t h e o h y do& m d t h t e p d i n C t r e t i Z U t i O n b 06 htidd otrdinahy did- &&enti& equaaXonb: S t a b d i t y w i t h l m g e b t e p h i z e d . ICASE Report No. 85-31, June 11, 1985, 70 pages. Math. Comp., Vol. 47 , No. 176, October 1986, pp. 473-502.

Banks, H. T.: On a v a h i a t i o n d apptroach t o home pcU~ametetr e s t i m a t i o n prrob- ,tern. ICASE Report No. 85-32, June 18, 1985, 38 pages. Inv i t ed l e c t u r e , I n t e r n a t i o n a l Conference on Control Theory f o r D i s t r ibu ted Parameter Systems and Appl ica t ions , Ju ly 9 - 14, 1984, Vorau, Aus t r ia .

Hariharan, S. I.: Abdohbing boundmy c o n d i t i o a doh eX$ehiOh phob lem. ICASE Report No. 85-33, J u l y 16, 1985, 33 pages. Numerical Elethods f o r P a r t i a l D i f f e r e n t i a l Equat ions, (S. I. Hariharan and T. H. Moulden, eds.) , Pitman P r e s s , 1986.

Rosenau, P. and E. Turkel: Long-time UAympXoticb 06 a dydtem d o t phAma d i d d u i o n . ICASE Report No. 85-34, Ju ly 23, 1985, 1 8 pages. Transport Theory and S i t a t i s t i c a l Phys ics , Vol. 16, 1987, pp. 377-392.

Adams, L. : R e o h d e ~ n g computationh doh pah&el execuZbn. ICASE Report No. 85-35, J u l y 24, 1985, 18 pages. Comm. Appl. N u m e r . Meths., Vol. 2, No. 3, May-June 1 9 8 4 , pp. 263-272.

Noonan, R. E. arid W. R. Co l l in s : The p m e h ijWeh&Oh an a 5 e n e h d puhpode .to&. ICASE: Report No. 85-36, Ju ly 31 , 1985 , 35 pages. Submitted t o Computing Surveys but withdrawn.

D u t t , P. : S t a b l e boundahy condctionh and didbehence dchemea doh Navieh-Stoheb equat ionh. ICASE Report No. 85-37, August 1 , 1985 , 8 6 pages. To appear i n SIAM J. &mer. Anal.

Abarbanel, S., D.. G o t t l i e b , and E. Tadmor: SpeCZhd methods doh d h c o n t i n u o u paob lem. ICASE Report No. 85-38, August 9 , 1985 , 30 pages. Proc. of Conference 07, Numerical Methods f o r F lu id Dynamics, Reading, England.

S a l t z , J. H. and V. K. Naik: T0wahd.b developing hobU6.t d g o h i t h m dot delving p a h . t . i d d i d d e h e n t i d equations on MlMV m a c h i n u . ICASE Report No . 85-39, August 1 0 , 19185, 51 pages. To appear in P a r a l l e l Computing.

H a l l , P. : An m!qmptotic investigation 06 t h e d t a t i o n m y modu 06 i a t a b d ’ i t y 06 t h e boundwry l a y e h on a h o t a t i n 5 a c . ICASE Report No. 85-40, August 10, 1985, 29 pages. Proc. Roy. SOC. (A), Vol. 406, 1986, pp. 93- 106.

od a p h e a i c d dhe&. ICASE Report No. 85-41, September 1 2 , 1985 , 7 1 pages. Arch. Rat iona l Mech. Anal., Vol. 93, No. 4, 1986, pp. 357-384.

B r e w e r , D. W. and J. S. Gibson: PCULameteh i d e n t i h i c a t i o n hoh a h o b o t i c maniputatoh 6vUn. ICASE Report No. 85-42, September 1 8 , 1 i 8 5 , 24 pages. Submitted t o I n t l . J. Robotics Research.

Turke l , E. : Accutacy 06 dchemea w i t h nonunidohm muhea doh compheadible d l u i d ~ h U b . ICASE Report No. 85-43, September 23, 1985, 48 pages. Appl. Numer. Math., Vol. 2, 1986, pp. 529-550. -

Bayl i s s , A., P. Parikh, L. Maes t r e l lo , and E. Turkel : A douhth-ohdeh dcheme doh t h e uMte.ady compmasib le Navieh-Stohu equationh . ICASE Report No. 85-44 October 2 , 1985 , 24 pages. AIAA Paper No. 85-1694. -’

1 8

Jo rdan , H. F. : PatrUel computation with the d O t r C e . ICASE Report No. 85-45, October 4, 1985, 1 2 pages. P a r t of t h i s paper was submitted t o The C h a r a c t e r i s t i c s of P a r a l l e l Algorithms, Jameson, e t a l . , 1987.

-

H a l l , P.: 1 n h t a b a i t y 06 time-petciodic deaf&, ICASE Report No. 85-46, October 10, 1985, 29 pages. Proc. of ICASE/NASA Workshop on S t a b i l i t y of Time Dependent and S p a t i a l l y Varying Flows, August 19-20, 1985, Hampton, VA .

H a l l , P.: Taylotr-GotrZLetr inbtab&tia 06 ToUmien-Sckeichting waveb and othetr dlowd govetrned b y t h e intetractive boundmy layetr equaXion6. IcASE Report No. 85-47, October 11, 1985, 29 pages. J. F lu id Mech., Vol. 171, 1986, pp. 441-457.

Alaghband, G. and H. F. Jordan: MdXip t roCe6bo t r a p m e L/U decompoaition Uri.?% canttroUed 6 4 2 l - i n . ICASE Report No. 85-48, October 18, 1985, 38 pages. To appear i n IEEE Trans. Comput.

Spez ia l e , C. G.: Second-otrdetr &obWe mode& dotr trotaXing t u b d e n t dlowd. ICASE Report No. 85-49, October 21, 1985, 24 pages. To appear i n Phys. F lu ids .

Kre i s s , G. and H . 4 . Kreiss: Convetrgence $0 ateady a ta te 06 aol&CLom 06 1Swrgek.b' equation. ICASE Report No. 85-50, December 10, 1985, 30 pages.

Tadmor, E.: The nwnetLicd v h c o b i t y 06 enttropy atable achema d o t byatem 06 cometrvaXion l a w b , 7 . ICASE Report No. 85-51, November 8, 1985, 30 pages. Math. Comp., Vol. 49, 1987, pp. 91-103.

Maes t re l lo , L., P. Par ikh, A. Bayl i s s , and E. Turkel : Active conttrol 06 comptruaible 6 1 0 ~ on a cwrved b u d a c e . ICASE Report No. 85-52, November 14, 1985, 28 pages. S A E Aerospace Technology Paper, SAE Technical Paper S e r i e s , No. 851856.

Harabe t ian , E. : MaXched aymptot ic expamion6 t o a i m z a h i t y aolu;t-Lom 0 6 shock di6dtracXLon. ICASE Report No. 85-53, November 18, 1985, 32 pages. Submitted t o Comm. Pure Appl. Math,

Bokhari , S. H. : P m t i t i o n i n g ptroblem i n pm&el, p i p e e i n e d and dhttLibu.ted computing. ICASE Report No. 85-54, November 19, 1985, 34 pages. To appear i n IEEE Trans. Comput., January 1988.

Berger, M. J. and S. H. Bokhari: A p m t i t i o n i n g attrategy d o t non-unidotrm ptroblem on rni.&~p&?caao&b. ICASE Report No. 85-55, November 20, 1985, 29 pages. IEEE Trans. Comput., C-36, No. 5, May 1987, pp. 570-580.

Bav l i s s . A.. L. Maes t r e l lo . P. Par ikh . and E. Turkel : Wave phenomena i n a ' h i g h Reynoldb numbetr comptraaible boundmy layetr. ICASE Report No. 85-56,

November 20, 1985, 25 pages. S t a b i l i t y of Time-Dependent and S p a t i a l l y Varying Flows, (D. L. Dwoyer and M. Y. Hussa in i , eds . ) , Springer-Verlag, 1985, pp. 188-205.

Brandt, A . and S, Ta'asan: M&tig)Lid method do& n e d y b ~ n g l L e m and & @ h a y i n d e d i n i t e p t o b l e m . ICASE Report No. 85-57, November 21, 1985, 34 pages. Lecture Notes i n Mathematics, (W. Hackbusch and U. Trot tenberg , eds .) , Springer-Verlag, 1986.

Burns, J. A. and R. K. Powers: Fac to tL i zd ion and &educt ion methods do& o p t i m d cont&oX 06 d t ) L i b u t e d pmametetr b y a t e m . ICASE Report No. 85-58, November 2 2 , 1985, 102 pages. Mathematica Applicada E Computacional. Vol. 5, No. 3, 1986, pp. 263-248. Revised under the t i t l e Facto)LizaXion and Ireduct ion methods do& op t ima l cont t ro l 06 he&edi.tmy cl y a t e m .

Turkel, E., S. Yaniv and U. Landau: AccwLacy 04 d c h e m ha& t h e €&e& equa- - - t ionh w i t h non-unidmm m u h a . 2 1 pages. A I M Paper No. 86-0341.

ICASE Report No. 85-59; December 5, 1985,

I s r a e l i , M.: Marching i t e m t i v e methods do& Xhe pmabokkzed and t h i n laye& kZVie&-%Oheh equdianh. ICASE Report No. 85-60, December 5, 1985, 26 pages. Proc. of Bi-nat ional US/Israel Workshop on "Impact of Super- computers on the Next Decade of Computational F lu id Dynamics ," Jerusalem, December 1984,,

Grosch, C. E.: Adapting a Navieh-Stoheb code t o t h e ZCL-VAP. ICASE Report No. 85-61, December 1985. SIAM J. Sci. S t a t . Comput., Vol. 8, January 1987, pp. ~ 9 6 - - ~ 1 1 7 .

ICASE Reports: 1984

Adams, L. M. and T. W. Crocket t : ModeUing W&OCUbaO& #L&tClUh. ICASE R e D O r t NO. 84-1.

dgo)L i thm execut ion t i m e on January 16, 1984, 22 pages.

J

IEEE Computer, Vol. 17 , No. 7, J u l y 1984, pp. 38-44.

P h i l l i p s , T. N. and M. E. Rose: A diniZe diddenence acheme do& t h e equi- LibtLiurn equat.iona 05 dabtic b o d i a . ICASE Report No. 84-2, January 24, 1984, 31 pages. SIAM J. Sci . S t a t . Comput, Vol. 7, No. 1, January 1986, pp. 288-300.

Hussa in i , M. Y., I). A. Kopriva, M. D. Sa l a s and T. A. Zang: SpeCX&d methods do& t h e EuRetr equaXionb: FO&eh method6 and ahoch-capXu~ng . ICASE Report No. 84-3, - January 27, 1984, 32 pages. AIAA J., Vol. 23, No. 1, January 1985, pp. 64-70.

Hussa in i , M. Y., I). A. Kopriva, M. D. Sa l a s and T. A. Zang: S p e c t h d method do& t h e € d e & e q u d i o n a : Chebyahev methods and s h o c k - d i t t i n g . ICASE Report No. 84--4, January 27, 1984, 31 pages. AIAA J., Vol. 23, No. 2, January 1985, b. 234-313.

H a l l , P., M. R. PIalik and D. I. A. P o l l : On t h e a t a b L t i t y 06 an i n d i n i t e w e p t at tachment f i n e boundmy laye&. ICASE Report No. 84-5, February 7, 1984, 44 pages. Proc. Roy. SOC. London'(A), Vol. 395, 1985, p. 229.

20

S r i t h a r a n , S. S.: D d t a wingb ~ t h ahock-6tee Chobb 610~. ICASE Report No. 84-6, February 6, 1984, 25 pages. Quart. Appl . Math., Vol. 43, No. 3, October 1985, pp. 275-286.

Lamm, P. Daniel: Estimation 06 dbcontinuouh coe66icient6 i n pmabofic aybtem : Appficat~ona t o teae tvo i t a i m d a t i o n . ICASE Report No. 84-7, February 13, 1984, 54 pages. SIAM J. Control Optim., Vol. 25, January 1987, pp. 18-37.

Tal-Ezer, H.: S p e c t t d methods i n time dot hypetbofic equaXiom. ICASE Report No. 84-8, February 15, 1984, 33 pages. SIAM J, Numer. Anal., Vol. 23, No. 1, February 1986, pp. 11-26.

WOW, Y. s.: Newton t i h e - m i n i m a t tu iduat methods ap&ed t o t tanaonic @ow cdc&ationa . ICASE Report No. 84-9, February 15, 1984, 32 pages. AIAA J., Vol. 23, No. 4, Apr i l 1985, pp. 515-521.

Osher, S.: Convetgence 06 genet&zed MUSCL achemu. ICASE Report No. 84-10, February 16, 1984, 36 pages. SIAM J. Numer. Anal., Vol. 22, 1985, pp. 947-961.

Trefe then , L. N.: S t a b Z L Q 06 6 i n i t e diddetence mod& containing t w o boundartiea o t intetdacea. ICASE Report No. 84-11, March 18, 1984, 46 pages. Math. Comp., Vol. 45, No. 172, pp. 279-648.

Sr i tha ran . S. S. and P. W. Smith: On t h e gcinid genetation me-thoh by hmmovLic mapping on plane and cwved auh6aceb. - ICAsE Report No. 84-12,-March 19, 1984, 22 pages. To appear i n Complex Var iab les , Gordon and Breach.

I t o , K.: An i - te tat ive method 604 indedini te byatem 06 t i n e m equationb. ICASE Report No. 84-13, A p r i l 2, 1984, 2 1 pages. Submitted t o SIAM J. Numer. Anal.

Adams, L. M. and H. F. Jordan: IS SOR cotot-blind? ICASE Report No. 84-14, May 21, 1984, 39 pages. SIAM J. Sci. S t a t i s t . Comput., Vol. 7, No. 2 , Apr i l 1986, pp. 490-506.

Gatsk i , T. B. and C. E. Grosch: A numeticat btudy 06 the two- and thtee- dimenaiond uvu teady Naviet-Stohu equation6 i n v e l o c i t y - v o u i c i t y v a n i - abtu uding compact diddetence achema. ICASE Report No. 84-15, May 22, 1984, 20 pages. Lecture Notes i n Physics , No. 218, (Soubbaramayer and J. P. Boujot , e d s , ) , S p r i n g e r V e r l a g , 1984, Proc. of 9 t h I n t l . Conference on Numerical Methods i n Fluid Dynamics, Saclay, France, pp. 235-239.

Hafez, M. M. and T. N. P h i l l i p s : A madidied t e a t aqumea dotmidation bot a byatem 06 6 i u t - o t d e t e q u d i o m . ICASE Report No. 84-16, May 29, 1984, 2 1 pages. Appl. Numer. Math., Vol. 1, 1985, pp. 339-347.

H a l l . P. : The Gj t t teh vottex i v u t a b U t 4 mechavtidm i n thtee-dimenaiond houndmy Cayeu . ICASE Report No. 84-17, June 6, 1984, 37 pages. Roy. SOC. London (A), Vol. 399, p. 135.

21

Gonzani, J., A. Nachshon, E. Turkel: Conjugate g l tad ient coupled WLth m d t i - gtLid do& an i n d e d i n i t e pmblem. ICASE Report No. 84-18, June 7, 1984, 11 pages. Advances i n Computer Methods f o r P a r t i a l D i f f e r e n t i a l Equations V, 1984, pp. 42.5-427.

Malik, M. R., T. A. Zang, M. Y. Hussaini : A b p e c t k d c o u o c a t i o n method d o t t h e NavieR-Sltoheb equat ionb. ICASE Report No. 84-19, June 8, 1984, 48 pages. J. Comput. Phys., Vol. 61, No. 1, October 1985, pp. 64-88.

Davis, S . F. : TVD &bi te d i d & ~ e n c e bchemea and atrtidicid v h c o b i t y . ICASE Report No. 84-20, June 11, 1984, 35 pages. SIAM J. S c i . S t a t i s . Comput., Vol. 8, No. 1, January 1987. Revised under the t i t l e A b i m p f i d i e d TVD d i n i t e did fje.)tence b cheme v i a anitidicid v i h c o b i t y .

Canuto, C., S. 'I. Hariharan, and L. Lustman: Spec t t rd meZhod6 do& extehiot c?l%..ptic pkcrblem. ICASE Report No. 84-21, June 12, 1984, 33 pages. Numer. Math., Vol. 46, 1985, pp. 505-520.

G r a i f , E. and IC. Kunisch: PCVlameteh PAt imat ion doh t h e Eute&-BemouUi- beam. ICASE Report No. 84-22, June 20, 1984, 42 pages. Matematica Aplicada Cornputacional, Vol. 4, No. 2, 1985, pp. 95-124.

Rosen, I. G.: A n m e t L i c d acheme 604 t h e i d e n t i d i c a t i o n 06 hybtLid b y b t e m debcnibing t h e v i b & a t i o n ad d l e x i b l e b e m wiZh t i p h o d i u . ICASE Report No. 84-23, June 21, 1984, 36 pages. J. Math. Anal. Appl., Vol. 116, No. 1, May 1986, pp. 262-288.

Banks, H. T. and K. A. Murphy: Ebt imut ion 06 coe66icien42 and boundatry pahametea i n hyperrbol2.c byb&m?l. - ICASE Report No. 84-24, June 21, 1984, 52 pages. SIAM J. Control O p t i m . , 1986.

Vardi, A . : A new knmax dgotL i thm. ICASE Report No. 84-25, June 21, 1984, 35 pages. Submitted t o J. Optim. Theory and Appl ica t ions .

Banks, H. T. andl I. G. Rosen: Apphoximution techniqueb do& pCVlameZet ebtima- tion and d'zedbach contto. t do& disttLibcLted mod& 06 lmge d l e x i b l e bX&uc.tWreb. ICASE Report No. 84-26, June 21, 1984, 19 pages. Proc. Workshop on I d e n t i f i c a t i o n and Control of F l e x i b l e Space S t r u c t u r e s , San Diego, CA, June 4-6, 1984, (G. Rodriguez, ed.) .

Turke l , E. and E;. van Leer: FLUX vectorr b p l a t i n g and Runge-Kutta method6 Boa t h e ElLee& equat ionb. ICASE Report No. 84-27, June 23, 1984, 9 pages. Lec ture Notes i n Phys ics , No. 218, (Soubbaramayer and J. P. Boujot, e d s . ) , Springer-Verlag, 1984, Proc. of 9 t h I n t l . Conference on Numerical Methods i n F lu id Dynamics, Saclay, France, pp. 566-570.

Turkel , E.: Flat .~jo&u.tions t o t h e bteady comp&ebbible and incompkeabible dynamic equat ions. ICASE Report No. 84-28, June 23, 1984, 8

pages. Lecture Notes i n Physics , No. 218, (Soubbaramayer and J. P. Boujot , e d s . ) , Springer-Verlag, 1984, Proc. of 9 t h I n t l . Conference on Numerical Methods i n Fluid Dynamics, Saclay, France, pp. 571-575.

22

G o t t l i e b , D. : S p e d & & metho& do& comp&esaible 6 l o W p k o b l e m . ICASE Report No. 84-29, June 22, 1984, 20 pages. Lecture Notes i n Physics , No. 218, (Soubbaramayer and J. P. Boujot, eds . ) , Springer-Verlag, 1984, Proc. of 9th I n t l . Conference on Numerical Methods i n Fluid Dynamics, Saclay, France , pp. 48-61.

Ip sen , I. C. F.: S i n g d m v d u e decompobi t ion w i t h b q b t o l i c ahrtaqb. ICASE Report No. 84-30, Ju ly 6, 1984, 22 pages. Proc. of the Socie ty of Photo- O p t i c a l Engineers , Bellingham, WA, J u l y 9, 1984.

I t o , K. and R. Teglas : kgen&e-tau app&oximation do& dunet ion& di66ertentid equaXionb, Pant 2 7 : The f inem quadxatic o p t i m a l contrtol prroblem. ICASE w, July 6, 1984, 65 pages. To appear i n SIAM J. Control Optim.

Turke l , E.: Acc&e&ation t o a bteadq btate do& t h e € d e & equaXionb. ICASE Report No. 84-32, Ju ly 7, 1984, 45 pages. Proc. I N R I A E u l e r Workshop (SIAM), Rocquencourt, France, December 7-9, 1983, Numer. Meths. f o r t he Euler Equat ions of Fluid Dynamics, (F. Angrand, e t a l . , eds .), SIAM, 1985, pp. 281-311.

Bokhari , S. H. and A. D. Raza: Augmenting compute& ne two th . No. 84-33, Ju ly 8, 1984, 16 pages. Proc. 1984 I n t l . P a r a l l e l Process ing , IEEE Computer Socie ty P r e s s , (Robert M. 1984, pp. 338-345.

ICASE Report Conference on Keller, ed . ) ,

Reed, D. A. and M. L. P a t r i c k : A model! 06 abynch&onoub i t eaa t i ve &go'Lithm 6o)r b o l v i n g .&Lkge, b p m e , f ineah bqbtemcl. ICASE Report No. 84-34, J u l y 31, 1984, 27 pages. Proc. 1984 I n t l . Conference on P a r a l l e l Processing, IEEE Computer Socie ty Press, (Robert M. Kel le r , ed .), 1984, pp. 402-409.

Reed, D. A. and M. L. P a t r i c k : Pah&ee, ite&&ive boluf- ion 06 bpahAe f i n e m bqdtem: Mod&' and a h c l r i t e c t m e b . ICASE Report No. 84-35, August 1, 1984, 45 pages. P a r a l l e l Computing, Vol. 2, 1985, pp. 45-67.

Tadmor, E. : The w&l-pobednebb 06 t h e Kutamoto -S ivah inbkq equation. ICASE Report No. 84-36, August 7 , 1984, 22 pages. SIAM J. Math. Anal., Vol. 17, 1986, pp. 884-893.

Lustman, L.: The time e v o l u t i o n 06 bpec tad dibc&etiz&ionb 06 hqpeabof i c hqbtcZnlb. ICASE Report No. 84-37, August 7, 1984, 12 pages. To appear i n SIAM J. Numer. Anal., Vol. 23, No. 6, December 1986.

Bayl i ss , A., C. I. Golds te in , and E. Turkel : On accwracq conditionb do& t h e nwne&Lcd comput&ion 06 waveh. ICASE Report No. 84-38, August 9 , 1984, 16 pages. J. Comput. Phys., Vol. 59, NO. 3, Ju ly 1985, pp. 396-404.

Har iharan , S . I.: Nume'Lic& b o h . X ~ O n 4 06 acOUtic wave p t o p a g a i o n p & o b l e m uning € d e & cornputationb. ICASE Report No. 84-39, August 10, 1984, 29 pages. R o c . of t he A I M 9 t h Aeroacoust ics Conference, Will iamsburg, VA, August 15-17, 1984, AIAA Paper No. 84-2290.

23

Tadmor, E.: The exponentid accwracy 06 F a d e & and Tchebybhev di6~ehencing methodb. ICASE Report No. 84-40, August 20, 1984, 24 pages. SIAM J. Numer. Anal. , Vol. 23, 1 9 8 6 , pp. 1-10.

Gannon, D. and J . Van Rosendale: On the impact 06 communication compkkxi,ty in t h e d u i g n 06 pm&et numea.Lcd &.goa.Lthm. ICASE Report No. 84-41, August 22, 1984, 37 pages. IEEE Trans. on Computers, Vol. C-33, No. 12, December 1 9 8 4 , pp. 1180-1194.

I t o , K. : Legendtre-Tau apphoximation 6o.t dunctiond did6ehentiu-t equationa , Pmt 117: i5igenvdue apphoximationa and unidohrn b t a b i l i t y . ICASE Report No. 84-42, August 24, 1984, 34 pages. Proc. Second I n t e r n a t i o n a l Conference on Control Theory f o r D i s t r ibu ted Parameter Systems and App l i ca t ions , Vorau, A u s t r i a , 1984.

Berger , M. J.: On conaekvation at ga.Ld inteR6aced. ICASE Report No. 84-43, September 7,, 1984 , 25 pages. SIAM J. Numer. Anal., Vol. 24 , October 1 9 8 7 , pp. 967-984,,

Osher, S . and S. Chakravarthy: Vehq h igh okdeh accwrate TVP bchemu. ICASE Report No. -’ 84-44 September 10 , 1984 , 6 1 pages. Math. and Its Applica- t i o n s , Vol. 2 , 1 9 8 6 , pp. 229-274.

Elcrat , A. R. and L. N. Trefethen: c & U b i C d @2e-bthedine @OW O V e h a p o t y g o n a t 015b6- tUch . ICASE Report No. 84-45, September 1 0 , 1984, 6 1 pages. J. Comput. Appl. Math., Vol. 14, 1986, pp. 251-265.

Krause, E.: Review 06 borne vohZex heb , t i onb . ICASE Report No. 84-46, September 1 2 , 1984, 8 pages. Computer and F lu ids , Vol. 13, No. 4 , 1985, pp. 513-515.

. k r ? % . - ICASE Report NO. 84-47, September 1 3 , 1984,- 1 8 pages. L inear Algebra Appl . , Vol. 77, 1986, pp. 241-258.

Tal-Ezer, H. : A p6eudodpecZhd Legenhe method $oh hypetrbolic equationb w i t h an imphoveci b t a b i k i t y concktion. ICASE Report No. 84-48, September 1 4 , 1984 , 46 pages. J. Comput. Phys., Vol. 67, No. 1 , November 1 9 8 6 , pp. 145- 172.

B a y l i s s , A., C. I. Golds te in , and E. Turkel : The numetLic& bo&uXion 06 t h e HelmhoXXz equation doh wave phopagation ptoblem in undercwateh acoubtico . ICASE Report No. 84-49, September 1 7 , 1984, 29 pages. J. Comput. & Math. Appl., Vol. 1 1 , 1 9 8 5 , pp. 655-665.

Burns, J. A., Z:. I t o , R. K. Powers: Chandtraekhm equations and computation& atgotcithm 604 diAt tL ibuted pahamete4 bybtemb. ICASE Report No. 84-50, September :!O, 1984, 23 pages. Proc. 23rd Conference on Decision and Con- t r o l , Vol. 1, IEEE Control Systems Society, 1 9 8 4 , pp. 262-267.

24

Rosen, I. G.: A p p t o x i m a t i o n method d o t inveme plroblem involving the v i b m - t i o n 06 beam with tip b o d i u . ICASE Report No. 84-51, September 26, 1984, 10 pages. Proc. 23rd IEEE Conference on Decisions and Control , Vol. 3, IEEE Control Systems Socie ty , 1984, pp. 1692-1694.

Canuto, c.: Boundmy condCtionb i n Chebybhev and Legenhe m e t h o d . ICASE Report No. 84-52, October 1, 1984, 38 pages. SIAM J. Numer. Anal., Vol. 23, 1986, pp. 815-831.

Roe, P. L.: Genemtized dot lmulat ion 06 TVU Lax-Wendho66 bchemec,. ICASE Report No. 84-53, October 23, 1984, 14 pages.

Bokhari , Shahid H. : Shud6le-exchangec, on augmented m u h a . ICASE Report No. 84-54 October 24, 1984, 12 pages. F i r s t I n t e r n a t i o n a l Conf. on Super- computing Systems, S t . Pe te rsburg , F l o r i d a , IEEE Computer Socie ty , December 16 - 20, 1985.

-’

Goodman, J. B. and R. J. LeVeque: A geomettcic appmach t o h i g h U o k h t i o n TVD bchemes. ICASE Report No. 84-55, October 29, 1984, 35 pages. To appear i n Math. Comp.

Wong, Tin-Chi, C. H. Liu, and J. Geer: Cornpahidon 06 unidotm petLtmbaXion bolcLtiovlb and numetcical aoluXiovu do& bome p o t e n t i d dlom p a s t blende4 bodces. ICASE Report No. 84-56, October 29, 1984, 32 pages. Computers & Fluids , Vol. 13, NO. 3, 1985, pp. 271-283.

S a l a s , M. D., S. Abarbanel and D. G o t t l i e b : Multiple ateady b t a t u 604 c h a h a c t e h t i c i n i t i a l v&ue pkoblemb . ICASE Report No. 84-57, November 1, 1984, 43 pages. Applied Numer. Math.

Rose, Milton E.: A compact 6 in i te element method 604 elastic b o d i u . ICASE Report No. 84-58, November 7 , 1984, 38 pages. Numer. Meth. f o r PDE, Vol. 3, 1985, pp. 209-228.

Lustman, L.: A tevieur 06 bpec thd metho&. ICASE Report No. 84-59, November 19, 1984, 25 pages. Lecture S e r i e s , Numerical Methods f o r P a r t i a l D i f f e r e n t i a l Equations a t Un ive r s i ty of Tennessee Space I n s t i t u t e , Short Course, January 1985.

Hussa in i , M. Y. and W. D. Lakin: Exhtence and non-uniquenub 06 bimi.&Ufity b o k t i o a 06 a boundmy laye4 p m b l e m . ICASE Report No. 84-60, November 21, 1984, 17 pages. Quart . J. Mech. Appl. Math., Vol. 39, 1986, pp. 15-24.

Bay l i s s , A., L. Maes t r e l lo , and E. Turkel: On the intekaction a6 a bound puebe with t h e bhem l a y e t 06 an axhqmmettLic jeX. 117. Nofinecur i ddech . ICASE Report No: 84-61, Novembe; 23, 1984, 22 pages. J. Sound Vibrat ion, 1986, Vol. 107, No. 1, 1986, pp. 167-175.

Swanson, R. C. and E. Turkel: A mutthtage t i m e - b t e p p i n g bcheme h o t the Naviek-Stoku equatiovlb. ICASE Report No. 84-62, November 23, 1984, 28

pages. AIAA 23rd Aerospace Science Meeting, January 14-17, 1985, Reno, NV, 1985, AIAA Paper No. 85-0035.

Bren ie r , Y. and S. Osher: Apphoximate Riemann aolvem and numekbxX deux ~un&.bnb. ICASE Report No. 84-63, December 5, 1984, 33 pages. SIAM J. Numer. Anal., Vol. 23, 1986, pp. 259-273.

Hall, P. and M. R. Malik: On the i nb tabLLi t y 06 a thKee-dcmenbiond attach- ment l i n e boundmy layetr: Weahey nantinearc theotry and a numetical apptroach. ICASE Report No. 84-64, December 6, 1984, 65 pages. J. F lu id Mech., Vol. 163, 1986, pp. 256-282.

F i x , G. J. and M. Su r i : Thhee-dimenbional m a 6 6 conbetruing aementd d o t com- p t r a h i b l e &?wb. ICASE Report No. 84-65, December 13, 1984, 27 pages. Comput. Math. Appl. , Vol. 11, NO. 7, 1985, pp. 765-776.

Banks, H. T. arid J. M. Crowley: Method,!, bok the i d e n t i 6 i c a t i o n 06 mateaid parcametern .in dintaibuted mod& 6otr BlexibLe htxuctuhea. ICASE Report No. 84-66, December 28, 1984, 45 pages. Matematica Aplicada e Computacional, Vol. 5, 1986, pp. 139-168.

I t o , K. and R. K. Powers: Chandmuehharc ecjua$Lom 604 i n d i n i t e d i m e n b i o n d h y h t e m . ICASE Report No. 84-67, December 31, 1984, 36-pages . Submitted t o J. D i f f z : e n t i a l Equations.

ICASE Reports: 1983

P h i l l i p s , T. N.: NumeGcal h o l u t i o n 06 a coupled p a h 06 U i p t i c equdionb 6 m m aof id a t a t e etect4ani.cn. ICASE Report No. 83-1, January 12, 1983, 18 pages. J. Comput. Phys., Vo ly53 , No. 3, March 1984, pp. 472-483.

P h i l l i p s , T. N. :: NcLtulrd convecZion i n an enclohed cavi-ty. ICASE Report No. 83-2, February 24, 1983, 24 pages. J. Comput. Phys., Vol. 54, No. 3, June 1984, pp. 365-381.

Dahlburg, R. B . , T. A. Zang, D. C. Montgomery and M. Y. Hussaini : V- idCUUb, t r u d t L v e lAHV htabiLi.ty computed b y b p e c t t a l t echniqua. ICASE Report No. 83-3, March 1, 1983, 28 pages. Proc. Nat. Acad. Sc i . , Vol. 80, September 1983, pp. 5798-5802.

F i x , G. J. and M. E. Rose: A compmative htudy 06 dini te dement and d i n i t e diddetrence method6 dotr Cauchy-Riemann t y p e ecjua$ionb. ICASE Report No. 83-4, March 28, 1983, 22 pages. SIAM J. Numer. Anal., Vol. 22, No. 2, A p r i l 1985, pp. 250-261.

Dunn, M. H. and S. I. Hariharan: Numetrical computationh on one-dimenhiand Lnveae hcc?tte~zing ptroblem. ICASE Report No. 83-5, A p r i l 13, 1983, 15 pages. J. Comput. Phys., Vol. 55, No. 1, J u l y 1984, pp. 157-165.

26

F l a h e r t y , J. E. and R. E. O'Malley, Jr.: NumetLical method 604 b t i 6 6 bydtem 06 t w o - p o i n t boundmy value ptoblem. ICASE Report No. 83-6, Apr i l 7, 1983, 43 pages. SIAM J. Sc i . S t a t i s t . Comput., Vol. 5, No. 4, December 1984, pp. 865-886.

Chen, G. and Q. Zheng: N-PeUOn di66etentki,t gCU?lU p u 2: hU&Xy-6in& &e- ment metho&. ICASE Report No. 83-7, Apr i l 1 4 , 1983, 67 pages. Proc. of t h e Royal Socie ty of Edinburgh, Vol. 103A, 1986, pp. 15-34.

Chen, G., W. H. M i l l s , Q. Zheng and W. Shaw: N-Peaon di66etentiat gameb pmt 1 2 : The p e n a l t y method. ICASE Report No. 83-8, Apri l 15, 1983, 52 pages. Submitted t o SIAM J. Control O p t i m .

Adams, L. M. : M-Step pteconditioned conjugate gtadient meXhod. ICASE Report No. 83-9, A p r i l 16, 1983, 29 pages. SIAM J. S c i . 6 S t a t i s t . Comput., Vol. 6, No. 2, Apr i l 1985.

Zang, T. A., M. Y. Hussa in i , and D. M. Bushnell: NumetLicd computatiovu 06 tmbdence amw&t(ication i n d hock wave in te tac t ion . ICASE ReDort No. 83-10, April 28, "1983, pp. 13-21.

33 pages. AIAA J., Vol. 22, N o . 1, Janua*ry 1984,

S t r e e t t , C. L.., T. A. Zang, and M. Y. Hussaini : S p e c t t d mulXig/tid method w i t h appkCatiOn6 t o XtanbOniC p o t e n t i d @k~w. ICASE Report NO. 83-11, Apr i l 29, 1983, 53 pages. J. Comput. Phys., Vol. 57, No. 1, January 1985, pp. 43-76.

Zang, T. A., Y. S. Wong, and M. Y. Hussaini : S p e C t J t d mdtig/ t id method d o t e l l i p t i c equaXion6 2 1 . ICASE Report No. 83-12, May 3, 1983, 32 pages. J. Comput. Phys., Vol. 54, No. 3, June 1984, pp. 489-507.

Banks. H. T. and J. M. Crowley: Patrame&?t identihication i n continuum mod&. ICASE Report No. 83-13, May 4, 1983, 5 pages . Proc. of 1983 American Control Conference, San Francisco, CA, June 22-24, 1983, pub1 i shed by IEEE.

Zang, T. A., D. A. Kopriva, and M. Y. Hussaini : PbeudodpecXtd cdcu ta t ion 06 bhoch tmbutence intetactionh . ICASE Report No. 83-14, May 16, 1983, 11 pages. Proc. of Numerical Methods Conference, (C. Taylor , J. A. Johnson, W. R. Smith, eds.) , P iner idge Press, Swansea, U.K., 1984, pp. 210-221.

Tadmor, E.: The latrge-tLrne behaviok 06 ;the b C d m , genLLineey no&nem lax- F/tie&chd acheme. ICASE Report No. 83-15, June 13, 1983, 30 pages. Math. Comp., Vol. 43, No. 168, October 1984, pp. 353-368.

Tadmor, E.: E n t t o p y ~ U n C X ~ O n 6 d o t bLjlnme;ttLic bybtem 06 con6etvation h l & . ICASE Report No. 83-16, June 14, 1983, 7 pages. J. Math. Anal. and Apple, Vole 122, 1987, pp. 355-359.

I t o , K. and R. G. Teglas: kgendtce-TaLL apptrOXimatiOn6 hot dunctiond did- 6etent i .d equaXionn. ICASE Report No. 83-17, June 14, 1983, 43 pages. STAM J. Control Optim., Vol. 24, 1986, pp. 737-759.

27

Teglas , R. G.: On t h e canttrot c a n o n i c a l b23~uctWLe ad a dab 06 d c a l m i n p u t nybtem. ]:CASE Report No. 83-18, June 14, 1983, 36 pages. Replaces ICASE Repost No. 81-40. SIAM J. Control O p t i m . , Vol. 22, No. 4, J u l y 1984, pp. 552-569.

Banks, H. T. and G. Majda: Modeling 06 &xibee awrdaces: A ptre.&minmy b t u d y . ICASE Report No. 83-19, June 14, 1983, 23 pages. Math. Modeling, Vel. 5, 1984, pp. 103-115. -

Tadmor, E.: Nume&.icd ~ ~ A c o a i t y and t h e enttropy condction do& covue&vative did@ence hchemes. ICASE Report No. 83-20, June 14, 1983, 26 pages. Math. Comp.,, Vol. 43, No. 168, October 1984, pp. 369-381.

S r i t h a r a n , S. S. and A. R. Seebass: Finite mea method 6otr non&nem bupetr- bon ic canictzk? &mlb. ICASE Report No. 83-21, June 15, 1983, 34 pages. AIAA J., Vol.. 22, February 1984, pp. 226-233.

Tadmor, E. : F.Lnite-did6eaence, b p e c t t r d and Galeahin m e t h o d dotr time- dependent p . t o b t e m . ICASE Report No. 83-22, June 15, 1983, 53 pages. SIAM Rev., 'iiol. 29, 1987. Revised under t h e t i t l e S t a b i l i t y C m d y b A 06 &hi te -d i6&~ence , p,5 eudoapect t ra t , and Fodetr-Gdetrkcn apptroximatiovu 604 t ime-dependen t ptrobeenu .

Adams, L. M. : An M-btep p trecondi t ioned conjugate gtradient method dotr pahaReel c o m p u t a t i o n , ICASE Report No. 83-23; June i 5 , 1983, 8 pages. -SIAM J. Sc i . & Sta t l i s t . Comput., Vol. 6, No. 2, Apri l 1985, pp. 452-463.

Fleming, P. J.: CAD 06 contkol dybtem: A p p l i c a t i o n 06 no&nem ptrog&amming t o a finemi-quachatic dotrmulktion. ICASE Report No. 83-24, June 22, 1983, 7 pages. Proc. of IFAC Workshop on Appl ica t ions of Nonlinear Programming t o Optimizat ion and Cont ro l , June 20-21, 1983, Pergamon Pres s , pp. !3-15.

Banks, H. T., P. L. Daniel , and E. S. Armstrong: A b p U n e - b m e d pmametetr and atate u t i m t z t i o n t e c h n i q u e do& a ta t i c mod& 06 elast ic awrdaceb. ICASE Report No. r33-25, June 28, 1983, 61 pages.

P h i l l i p s , T. N. and M. E. Rose: A compact dinite did@uxce bcheme dotr d i v ( p grad u) - q 2 u = 0. ICASE Report No. 83-26, June 29, 1983, 20 pages. Rev:Lsed under the t i t l e A dinite di6d etrence Acheme dotr a d a b ad d i a t - w d e t r e l l i p t i c p m t i a l did&2trentkLt equat ionb . I n t l . J. Comput. Math. Appl.., Vol. 11, 1985, pp. 411-417.

P h i l l i p s , T. N.:: A p trecondi t ioned 6o t rmda t ion 05 t h e Cauchy-Riemann equa- ZkorM. ICASE Report No. 83-27, June 29, 1983, 13 pages. Revised under the t i t l e P , n embedding method dotr t h e Cauchy-Riemann equation. IMA J. Numer. Anal., Vol. 5, 1985, pp. 429-436.

Canuto, C. and A. Quarteroni : P&econ&Xioned m i e m & h e h i d u d methoch d o t Chebybhev bioecttrd calcdation6. ICASE Report No. 83-28, June 29, 1983, 31 pages. ,J. Comput. Phys., Vol. 60, No. 2, September 15, 1985, pp. 315- 337.

28

Van Fbsendale, J. R.: Atgohithm and data bthuctuJLen doh adaptive m&tig&Ld eeeCpA2.c bolvem. ICASE Report No. 83-29, June 29, 1983, 31 pages. Appl. Math. Comput., Vol. 13, Nos. 3 and 4 , 1983, pp. 453-470.

Dadfar, B. M., J. F. Geer, and C. M. Andersen: Petrtwrbation u n d y b h 06 .the &mi$ c yae 06 the Bhee van de& Pol equation. ICASE Report NO. 83-30, June 29 , 1983, 31 pages. SIAM J . Appl. Math., Vol. 44, No. 5 , October 1984, pp. 881-895.

Hussa in i , M. Y., M. D. Salas, and T. A. Zang: SpeCXhd metho& doh i n v b c i d , comphabib le &N.U~. ICASE Report No. 83-31, Ju ly 14, 1983, 39 pages. Advances i n Computational Transonics , (W. G. Habashi, ed .) , Piner idge Press , Swansea, United Kingdom, 1985.

Hariharan , S. I. and A. Bay l i s s : RadiaXion oh bound Sham undlanged cy f inducd due&. ICASE Report No. 83-32, Ju ly 14, 1983, 28 -pages. SIAM J. Sc i . S t a t i s t . Comput., Vol. 6, No. 2, Apr i l 1985, pp. 285-296.

Adams, L. M. and R. G. Voigt: A methodology doh exploixing p a h & e L h m i n Zhe dini.te elernen2 p h o c U b . ICASE Report No. 83-33, September 9, 1983, 36 pages. NATO AS1 S e r i e s , Vol. F7, ( J . Kowalik, ed.), Proc. of NATO Advanced Research Workshop on High Speed Computation, J u l i c h , West Ge many, June 198 3 .

Banks, H. T. and K. Kunisch: The Lineah &?g&atoh prroblem doh pa&abolic ~ bybtem. ICASE Report No. 83-34, Ju ly 24, 1983, 28 pages. SIAM J.

Cont ro l Optim., Vol. 22, No. 5, September 1984, pp. 684-698.

LeVeque, R. J. and L. N . Trefe then: On the h a o l v e n t condction i n the KheiAb r n d K i x themem. ICASE Report No. 83-35, J u l y 24, 1983, 12 pages. BIT, January 1984, pp. 584-591.

Van Rosendale, J. R. : Minimizing inneh phoduct data dependencia i n conjugate ghadcent i t ehat ion . ICASE Report No. 83-36, Ju ly 24, 1983, 10 pages. Proc. of TEEE I n t e r n a t i o n a l Conference on P a r a l l e l Process ing , August 23-26, 1983, (H. J. S iege l and Leah S i e g e l , eds . ) IEEE Computer Soc ie ty Press, pp. 44-46.

Davis, S . F.: A hotationaUy biaded upwind diddekence bcheme doh t he €&et I equationh. ICASE Report No. 83-37, Ju ly 24, 1983, 50 pages. J. Comput.

Phys., Vol. 56, No. 1 , October 1984, pp. 65-92.

van Leer , B.: ComputaXiond methods doh i d e d compkabib le Blow. ICASE Report No. 83-38, J u l y 25, 1983, 32 pages. Lecture notes f o r Lecture Se r i e s 1983-04 on Computational Fluid Dynamics, Von a m a n I n s t i t u t e f o r F lu id Dynamics, Rhode-St-Genese, Belgium, 1983.

Gannon, D. B. and J. R. Van Rosendale: PatraUel CUichiteCtWW doh .ttehative method on adaptive, b lock bthuctuted g&L&. ICASE Report No. 83-39, August 15, 1983, 14 pages. E l l i p t i c Problem Solvers 11, (G. Birkhoff and A. Schoenstadt , eds . ) , Academic P res s , 1984, pp. 93-104.

,

29

Daniel , P. L.: An apphoximation technique doh eatimating dincontinuoun coeddicienx2 i n dinthibuted byatem. ICASE Report No. 83-40, August 15, 1983, 12 pages. Proc. of Inverse Sca t t e r ing : Theory and Applicat ion Conference, 1983, (J. B. Bednar, R. Redner, E. Robinson and A. Weglein, eds .), SIAM, Phi lade lphia , PA.

P r a t t . T. W.. L. M. Adams. P. Mehrotra. J. R. Van Rosendale. R. G. VoiRt. and - M. L. P a t r i c k : The E M - 2 design method. ICASE Report No. 83-41, August 15, 1983, 10 pages. Proc. of IEEE I n t e r n a t i o n a l Conference on PaEa l l e l -Processing, -August 23-26, 1983, (H. J. S iege l and L. S i e g e l , eds . ) I E E E Computer Socie ty P r e s s , pp. 132-134.

Berger , M. J.: Stabi l i ty 06 intehdacu with muh hedinement. ICASE Report No. 83-42, August 24, 1983, 24 pages. Math. Comp., Vol. 45, No. 172, October 1985, pp. 301-318.

Hariharan , S. I. and R. C. MacCamy: LOW dh~qUeVZCy acOLLrlZic and electtomag- netic bcattehing. ICASE Report No. 83-43, August 25, 1983, 26 pages. IMACS, Numerical Solu t ions of S ingular I n t e g r a l Equat ions, (A. Gerasoul i s and R. Vichnevetsky, eds.) 1984, pp. 43-50.

Gunzburger, M. D., R. A. N ico la ides , and C. H. Liu: New dinchetization and b o l a t i o n te.chniquu doh incompheabible viAcoud Slow phoblem . ICASE Report No. 83-44, August 26, 1983, 21 pages. Proc. of AIAA 6 t h Computa- t i o n a l Fluid Dynamics Conference, Danvers, MA, Ju ly 13-15, 1983, pp. 665- 671.

H a l l , P.: On ;the A t a b i l i t y 06 the uMteady boundahy l a y e t on a cyfindeh o b d a t i n g tharuveUeXy i n a viAcaU d l u i d . ICASE Report No. 83-45, August 26, 1983, 43 pages. J. Fluid Mech., Vol. 146, p. 347.

Hussa in i , M. Y., C. L. S t r e e t t , and T. A. Zang: Specthat methocb 504 p a h t i d diddehentiat equat iou . ICASE Report No. 83-46, August 29, 1983, 62 pages. Proc. of F i r s t Amy Conference on Applied Mathematics and Cornput- i n g , Washington, M:, May 9-11, 1983, pp. 883-925.

Giles, M. B. : Eigenmode U f l d y h i . b 06 uruteady one-&meMiond E d e h equa- t i o u . ICASE Report No. 83-47, August 29, 1983, 16 pages. -

P h i l l i p s , T. N.,, T. A. Zang, and M. Y. Hussaini : PheCOnditiORelLcl doh the bpecthat m u l t i g / L i d method. ICASE Report No. 83-48, September 2 , 1983, 31 pages. IMA J. Numer. Anal., 1986.

Osher, S. and S. Chakravarthy: High huoluZLon bchemeb and the e n t t o p y con&- . _ &on. ICASE Report NO. 83-49, September 7 , 1983, 62 pages. SIAM J. Numer. Anal., Vol. 21, No. 5, October 1984, pp. 955-984.

Goldberg, M. and E. Tadmor: Convenient b t a b X t y d t e h i a doh diddehence apphoximatiou 06 hypetbofic inLtiut-boundahy va lue pmblem . ICASE Report No. -’ 83-50 September 19, 1983, 28 pages. Math. Comp., Vol. 4 4 , No. 170, Apr i l 1985, pp. 361-377.

30

Kopriva, D. A., T. A. Zang, M. D. S a l a s , and M. Y. Hussaini: Pheudonpecttral bolution 06 two-d imens iona l gu-dynamic phoblem. ICASE Report No. 83-51, September 23, 1983, 15 pages. Proc. 5 th GAMM Conference on Numerical Methods i n F lu id Dynamics, (M. Pandolf i and R. P iva , eds . ) , F r i e d r Viewag & Sohn, Braunschweig, Wiesbaden, pp. 185-192.

G i l e s , M. B. and M. E. Rose: A n u m e ~ c a l atudy 06 t h e ateady b c d a h con- vective d i 6 6 w i o n equation 6otr d m a v h c o b i t y . ICASE Report No. 83-52, September 27, 1983, 28 pages. J. Comp. Phys., Vol. 56, No. 3, December 1984, pp. 513-529.

Banks, H. T., K. I t o , and K. A. Murphy: Computationd metho& dotr ed.f.irnaA%In 06 panametehh i n hypetrbotic bYAtem6. ICASE Report No. 83-53, September 28 , 1983, 14 pages. Proc. of Conference on Inverse S c a t t e r i n g , Univers i ty of Tulsa, Tulsa, OK, May 1983.

G o t t l i e b , D. and E. Turkel: Specttrd method d o t time dependent p c V r t i a l akddetrenti& equ&ioM. ICASE Report No. 83-54, October 5, 1983, 49 pages. Proc. of 3rd 1983 C.I.M.E. S e r i e s Conference on Numerical Methods i n Fluid Dynamics, Como, I t a l y , Ju ly 7-12, 1983. Lecture Notes i n Math., Vol. 1127, Springer-Verlag, 1985, pp. 115-155.

Hal l , P.: The evolution equationb 604 Taylok v o d i c e 6 i n t h e b m m gap l i m a . ICASE Report No. 83-55, October 1 4 , 1983, 15 pages. Phys. Rev. A (3) , Vol. 29, 1984, p. 2921.

Adams, L. M. and R. G. Voigt: Debign, devdopment and we 06 t h e 6 i G t e element machine. ICASE Report No. 83-56, October 21, 1983, 27 pages. Large Scale S c i e n t i f i c Computations, (S . P a r t e r , ed . ) , Academic P r e s s , 1984.

~ L o W . ICASE Report No. 83-57, October 27 , 1983, 47 pages. Proc. Roy. S O C . Ser . (A), Vol. 396, 1984, pp. 75-94.

Rose, M. E.: Ruttricted maximum p & h d p l e s 604 eladtic b o d i a . ICASE Report No. 83-58, October 28, 1983, 6 pages. Submitted t o SIAM J. Appl. Math but withdrawn.

Mehrotra, P. and T. W. P r a t t : A model 604 t h e d i b t ~ b u ; t e d btohage and ph0- cebbing 06 tahge ahhayh. ICASE Report No. 83-59, October 29, 1983, 49 pages.

Fleming, P. J. : A no&neah ptrogtramming apptroach t o ?he comptek-aided & i g n 06 tregutatohh w i n g a fineatr-quadhatic 60trmUhLtion. ICASE Report No. 83-60, October 31, 1983, 25 pages. I n t l . J. of Cont ro l , Vol. 42, No. 1, pp. 257-268.

van Leer , B. : M u t f i d i m e u i o n a l e x g i c i t did6ehence Achemu d o t hypetrbofic cansetrvdion l a U M . ICASE Report No. 83-61, November 1, 1983, 6 pages. Computing Methods i n Applied Sciences and Engineer ing, (R. Glowinski and J.-L. Lions, eds .), North-Holland, Amsterdam, 1984, pp. 493-497.

31

Napolitano , M. and A. Dadone : Thtree-dimenhianal i m p k c i t lambda methock. - ICASE-Report: No. 83-62, November 16, 1983, 2 1 pages. Revised under the

t i t l e Z m p f i c i t lambda method6 do& thtree-&memionat comptreclaible @ow. Proc. of 5t,h GAMM Conference on Numerical Methods i n Fluid Dynamics, Rome, I t a l y , October 5-7, 1983.

Moss, W. F.: Spinning mode a c o u t i c tra&.ation dtrom t h e d l i g h t in&$. ICASE Report No. 83-63, November 29, 1983, 31 pages. Revised under the t i t l e CoUocation do& an integtral equat ion a 4 h i n g i n duc t mousticb. J. Comput. Phys., Vol. 64, No. 2, 1986, pp. 443-458.

Har iharan , S. I. and H. C. Lester: Acoustic a h o c h i n a vahiabl le mea duc t con ta in ing rzeatr a o n i c dLoW. ICASE Report No. 83-64, December 1, 1983, 19 pages. .J. Comput. Phys., Vol. 58, No. 1, March 1985, pp. 134-145.

Gatski , T. B. and C. E. Grosch: Embedded cav i ty dhag i n d t e a d y and unhteady &xA&. - ICASE Report No. 83-65, December 7 , 1983, 33 pages. AIAA Paper NO. 84-0436 tl

G o t t l i e b , D. , M. Y. Hussa in i , and S. A. Orszag: Theotry and a p p f i c a t i o m 06 bpect t ra l me.thod6. ICASE Report No. 83-66, December 19, 1983, 118 pages. Spec t r a l Methods f o r P a r t i a l D i f f e r e n t i a l Equat ions, (R. G. Voigt:, D. G o t t l i e b , M. Y. Hussa in i , eds . ) , SIAM - CBMS S e r i e s , 1984, pp. 1-54,

ICASE Reports: 1982

F i x , G. J. : P h u e d i d d method6 d o t @tee boundmy ptroblem. ICASE Report No. -9 82-1 January 26, 1982, 18 pages. Free Boundary Problems, Theory and App l i ca t ions , ( M . P r imice r io and A. Fasano, eds . ) , Pitman S e r i e s , Research Notes and Math., 1982.

Gunzburger, M. 13. and J. S. Peterson: On confjotrming mixed 6.inite d e m e n t method 604 t h e inhomogeneou~ a t a t i o n m y Navietr-Stohea e q u a t i o m - ICASE Report No. 82-2, February 1, 1982, 46 pages. Numer. Math., Vol. 42, 1983, pp. 1'73-194.

I t o , K. : RegLLea.totr prroblem d o t he t red t tmy d i f j 5esen t ia l a ybtem w i t h canttroll delaya. - ICA4SE Report No. 82-3, February 10, 1982, 31 pages.

B a y l i s s , A., C. Golds te in , and E. Turkel: An LtetrClXLve method 604 t h e Hdmho&z e.quClXkon. ICASE Report No. 82-4, February 25, 1982, 31 pages. J. IComput. Phys., Vol. 49, 1983, pp. 443-457.

Harten, A., P. D. Lax, and B. van Leer: On upbttceam did@~encing and Godunov- type achemea 6otr hypetrbol ic comettvat.ion law. ICASE Report No. 82-5, March 17 , 1982, 58 pages. SIAM Rev., Vol. 25, No. 1, January 1983, pp. 35-62.

32

Maes t r e l lo , L. and A. Bay l i s s : FLOW and 6 ie ld acoustic amplldication ICASE Report No. 82-6, March 1 7 , paopeatia 06 heated and unheated j e & .

1982, 40 pages. AIAA J., Vol. 20, No. 11, November 1982, pp. 1539-1546.

P r a t t , T. w. and G. D. Maydwell: Expelcience w i t h the 604mat bemantic debini- t i o n a6 HALIS. ICASE Report No. 82-7, March 18, 1982, 23 pages. Proc. of Symp. on Compiler Cons t ruc t ion , Boston, MA, June 23-25, 1982.

Rose, M. E.: A nume4icat Acheme t o AoLve d i v u = p , c u r l u = 5 . ICASE - - Report No. 82-8, A p r i l 7, 1982, 14 pages.

Adams, L. M. and J. M. Ortega: A mLLeti-caLo4 Sc)R method 604 pma,t.teL computa- t i a n . ICASE Report No. 82-9, A p r i l 8, 1982, 12 pages. Proc. of t he I n t e r n a t i o n a l Conference on P a r a l l e l Process ing , (K. E. Batcher , W. C. Meilander and J. L. P o t t e r , eds . ) , August 24-27, 1982, pp. 53-56.

Danie l , P. L.: S m n e app4oxhnationb 604 no&inem he ted i tmy contaol dyb temb . ICASE Report No. 82-10, A p r i l 28 , 1982, 52 pages. J. O p t i m . Theory Appl., Vol. 44, No. 4, December 1984, pp. 585-624.

Rose, M. E.: Compact i i n i t e dcddertence bchema sort the € d e 4 and Naviet- S t a h a equaXiom. ICASE Report No. 82-11, Apr i l 29, 1982, 12 pages. J. Comput. Phys., Vol. 49, No. 3, March 1983, pp. 420-442.

G o t t l i e b , D. and L. Lustman: The bpect4um 06 t h e Chebydhev co&&hx.tion opeaato4 604 the heat equation. ICASE Report No. 82-12, May 14 , 1982, 25 pages. SIAM J. Numer. Anal., Vol. 20, No. 5, October 1983, pp. 909-921.

Gunzburger, M. D., C. H. Liu, and R. A. Nicola ides : A 6in.Cte element method 604 d i 6 6 u i a n dominated unbteady v i ~ c o u b ~ L a u h . ICASE Report No. 82-13, June 15, 1982, 28 pages. Comput. Methods Appl. Mech. Engrg., Vol. 39, 1983, pp. 55-67.

Mehrotra , P. and T. W. P r a t t : Language cancepa 604 hxlc ihuted p 4 a c a d i n g 06 Lmge a h 4 a g d . ICASE Report No. 82-14, June 16, 1982, 25 pages. Proc. of Symp. on P r i n c i p l e s of D i s t r i b u t e d Computing, Ottawa, Canada, August 1982.

Wong, Y. S. and M. M. Hafez: A minimal t a i d u a l method 604 t4an~anic p a t e n t i d 6LoUM. ICASE Report No. 82-15, June 25, 1982, 10 pages. Lec ture Notes i n Phys ics , No. 170, (E . Krause, ed.) , Springer-Verlag, 1982, Proc. of t h e 8 t h I n t l . Conf on Numerical Methods i n Fluid Dynamics, Aachen, Germany, pp. 526-532. Also a t e c h n i c a l no te under the t i t l e Cammen& an Some l te4at ive Schema 604 Tttan~anic P a t e n t i a t FLam, submit ted t o AIAA J.

Rosen, I. G. : Vi66etrence equation Atate app4oximationa 604 navteinem hetedi tmy contaol p4obLemb. ICASE Report No. 82-16, June 30, 1982, 50 pages. SIAM J. Control Optim., Vol. 22, No. 2, March 1984, pp. 302-326.

33

Wenzel, A. R.: Radiation and a t t e n u a t i o n 06 l o w - and h igh-S tequency w a v a in a tandom m e d k r n . ICASE Report No. 82-17, J u l y 9, 1982, 2 1 pages. Wave Motion, Vol. 5, 1983, pp. 215-223.

Lakin, W. D. and 'M. Y. Hussaini: S t a b i l i t y 06 t h e lamina& boundmy l a y e t i n a b~mmnwibe c.04netc. ICASE Report No. 82-18, Ju ly 1 2 , 1982, 28 pages. Proc. Roy. Soc. London (A), Vol. 393, 1984, pp. 101-116.

Cox, C. L., G. J . F i x , and M. D. Gunzburger: A lest bqUCUrU d i n i t e e&?r"It b cheme d o t l:tanA onic blow mound hmmonicaRey ob c U a t i n g &ngb . ICASE Report No. 82-19 -' Ju ly 16, 1982, 28 pages. J. Comput. Phys., Vol. 51, No. 3, September 1983, pp. 387-403.

B a y l i s s , A. and E. Turkel: The t le lmholtz e q u d i o n d o t nozz l ed and u n d e u a t e t acou6ticn. ICASE Report No. 82-20, August 2, 1982, 7 pages. S c i e n t i f i c Computing, (R. S. Stepleman, ed . ) , North Holland Publ i sh ing Company, 1983.

Banks, H. T. : 8hthLblL ted byb tem o p t i m a l conttol and pmmetetr e n t i m a t i o n : CamputationaX t echn iqueb u6ing bp&ne app tox imatLam. ICASE Report No. 82-21, August 4, 1982, 7 pages. Inv i t ed l e c t u r e i n Proc. 3rd IFAC Symposium on Control of D i s t r ibu ted Parameter Systems, Toulouse, France, June 29 - Ju:Ly 2, 1982, Pergamon Press .

Banks. H. T. and J. M. Crowlev: Pmametet e n t ~ m d i a n i n Timobhenko beam mode&. Sei., Vol. 31, No. 3, July/September 1983, pp. 381-397.

- ICASE Report No. s i - 2 2 , August 4, 1982, 30 pages. J. Astronaut .

Turke l , E.: P t c r g t a b i n computaf-ion& p h y b i c b . ICASE Report No. 82-23, August 5, 19132, 69 pages. Comput. & Fluids . , Vol. 11, 1983, pp. 121-144.

Hussa in i , M. Y. , 'r. A. Zang, and M. D. Sa las : Shock-SLt ted €utet AoluZiovlb t o bhock-vo4Xex intetac- t . ionA. ICASE Report No. 82-24, August 16, 1982, 11 pages. Lecture Notes i n Physics , No. 170, (E. Krause, ed.) , S p r i n g e r Verlag, 1982, Proc. of t h e 8th I n t l . Conf. on Numerical Methods i n F lu id Dynamics, Aachen, Germany, pp. 461-467.

Naj fe ld , I. : Nurlneuhwk! an(Leyb.i6 06 Weyl 'b method d o t i n t e g t a t i n g boundmy .&tyetr e q u a t i o n b . ICASE Report No. 82-25, August 27, 1982, 21 pages.

Banks, H. T., P. T. Daniel , and E. S. Armstrong: PUAametetc ebthUA%On dot b t a t i c mode& 06 t h e maypole hooplcolumn antenna b a d a c e . ICASE Report No. 82-26, September 9, 1982, 3 pages. Proc. 1982 IEEE I n t l . Large Sca le Systems Symp., V i rg in i a Beach, VA, October 11-13, 1982.

Bokhari, S.: Findcng maximum on an m a y ptocenboR wizh a @ob& h a . ICASE Report No. 82-27, September 16, 1982, 28 pages. IEEE Trans. Comput., Vol. C-33, No. 2 , February 1984, pp. 133-139.

34

Abarbanel, S. S., D. L. Dwoyer, and D. Go t t l i eb : lmptoving the canvetgence t a t e 06 patrab0L.k AD7 methack. ICASE Report No. 82-28, September 20, 1982, 41 pages. Accepted by J. Comput. Phys. but withdrawn,

I t o , K.: On t h e apptoximation 06 eigenvdues abbociated w i t h $unction& d i d - $etent ial equations. ICASE Report No. 82-29, September 23, 1982, 27 pages. J. D i f f e r e n t i a l Equations, Vol. 60, 1985, pp. 285-300.

van Leer , B.: Flux-vectat d p 1 L t t i n g $ a t the Eutet equationb. ICASE Report No. 82-30, September 28,1982, 13 pages. Lecture Notes i n Physics , No. 170, (E. Krause, ed . ) , S p r i n g e r V e r l a g , 1982, Proc. of t he 8 t h I n t l . Conf. on Numerical Methods i n Fluid Dynamics, Aachen, Germany, pp. 507-512.

Banks, H. T., I. G. Rosen, and K. I t o : A bp&ne b a e d technique d o t camput.Lng Riccati a p e t a t a a and deedback c o n t t a h i n t e g d a t a t ptablemb d o t delay equdionb. ICASE Report No. 82-31, September 29, 1982, 49 pages. SIAM J. Sci. S t a t i s t . Comput., Vol. 5, No. 4, December 1984, pp. 830-855.

Banks, H. T. and P. L. Daniel: Estirnaitian ad vmiahle coe$$icien&5 i n pmabofic d i b t ~ b u t e d bYb$&.nM. ICASE Report No. 82-32, November 1, 1982, 52 pages. IEEE Trans. Automat. Cont ro l , AC-30, 1985, pp. 386-398.

Tadmor, E.: The unconditional i n b t a b i l i t y 06 indlaw-dependent baundmy condi- tions i n diddetence apprroximatiovtb $0 hypetbafic sybtemb. ICASE Report No. 82-33, November 10, 1982, 22 pages. Math. Comp., Vol. 41, No. 164, October 1983, pp. 309-319.

Har ten , A.: On a l u g e t i m e - d t e p high t u a l ( L t i o n scheme. ICASE Report No. -’ 82-34 November 15, 1982, 20 pages. Math. Comp., Vol. 46, 1986, pp. 379- 399.

Osher, S.: Smoothing $04 bpecttal metha&. ICASE Report No. 82-35, November 16, 1982, 12 pages. Spec t r a l Methods f o r P a r t i a l D i f f e r e n t i a l Equat ions, (R. G. Voigt, D. G o t t l i e b , M. Y, Hussa in i , eds . ) , SIAM - CBMS S e r i e s , 1984, pp. 209-216.

Gannon, D. and J. R. Van Rosendale: f f ighey p a h a e l m u t t i g ~ d s o l v e a $ a t a p t i c ma: An expekimentd a n d q s d . ICASE Report No. 82-36, November 17, 1982, 38 pages. Jou rna l of P a r a l l e l and Di s t r ibu ted Computing, Vol. 3, No. 1;March 1986, pp. 106-135.

F r i ed land , S. and E. Tadmor: OptimaeCty a$ the Lax-Wenchodd candct-ian. ICASE Report No. 82-37, November 23, 1982, 1 2 pages? Linear Algebra Appl., Vol. 56, 1983, pp, 309-319.

G o t t l i e b , D., L. Lustman, and C. Street t : S p e c t t d method6 dot two- dcmenbiond d h o c b . ICASE Report No. 82-38, November 24, 1982, 25 pages. Spec t r a l Methods f o r P a r t i a l D i f f e r e n t i a l Equat ions, (R. G. Voigt, D. G o t t l i e b , M. Y. Hussa in i , eds . ) , SIAM - CBMS S e r i e s , 1984, pp. 79-95.

35

Abarbanel, S. S . , D. L. Dwoyer, and D. Go t t l i eb : S t a b l e i m p e . i c i t din.cte- did6ekence m e t h o d d o t thlree-dimerzclional h y p e k b o l i c a yatem . ICASE Report No. 82-39, November 26, 1982, 25 pages. Accepted and withdrawn from J. Comput. Phys .

Hussa in i , M. Y. and T. A. Zang: 1 t e m X i v e bpectklk? m e t h o d and hpeCZ?ld do&X~oYlb t ' o c o m p t r u a i b l e dLoWb. ICASE Report No. 82-40, November 30, 1982, 30 pages. Spec t r a l Methods f o r P a r t i a l D i f f e r e n t i a l Equat ions, (R. G. Voigt, D. G o t t l i e b , M. Y. Hussa in i , eds.) , SIAM - CBMS S e r i e s , 1984, pp. 119-140.

Geer, J. F. and J. C. Str ikwerda: V e t t i c a l alendetc j e & w i t h amdace tevlbiorzcl. 'ICASE Report No. 82-41, December 16, 1982, 29 pages. J. F lu id Mech., Vol. 135, 1983, pp. 155-169.

Tadmor, E.: S k e w - a e t d a d j o i n t dorrm 604 byatem6 06 corzcle&v&ion kul4. ICASE Report No. 82-42, December 23, 1982, 22 pages. J. Math. Anal. Appl., Vol. 103, 1'984, pp. 428-442.

ICASE Reports: 1981

Van Albada, G. D. and W. W. Roberts , Jr.: A h i g h t ruo lu , t ion b t u d y 06 t h e gab- @ow in bartked a p i t L a h . ICASE Report No. 81-1, January 8, 1981, 34 pages. Astrophys. J., Vol. 246, June 1981, pp. 740-750.

Bauschl icher , C. W., Jr., P. S. Bagus, D. R. Yarkony, and B. H. Lengs f i e ld , 111: ICASE Report No. 81-2, January 12, 1981, 19 pages. J. Chem. Phys., Vol. 74, NO. 4 , February 15, 1981, pp. 2379-2383.

A hytikid method d o t impRoving MCSCF c o n v e q e n c e .

F i x , G. J., M. D. Gunzburger, and R. A. Nicola ides : On mixed &in& d e m e n t meZho& do& d i t r b t o&deh U p t i c bybtemb. ICASE Report No. 81-3, January 15, 1981, 35 pages. Numer. Math., Vol. 37, 1981, pp. 29-48.

P h i l i p s , R. B. and M . E. Rose: Compact didderrence b c h e m u d o t mixed i n i x i a l boundatry vcrLue p k o b l e m - 7. ICASE Report No. 81-4, January 21, 1981, 24 pages. SIAM J. Numer. Anal., Vol. 19, No. 4, August 1982, pp. 698-720.

k v i n s o n , F. H. and W. W. Roberts , Jr.: A &oud/p&i&e m o d d 05 t h e i n t e R - a-t&.&xh medium - galactic bpi&& aXauctWu2. ICASE Report No. 81-5, January 23, 1981, 50 pages. Astrophys. J., Vol. 245, 1982, pp. 465-481.

Bokhari, S. : A a h o & t a t $tee a l g o k i t h m bok o p t i m a l ahignmen& aclroba apace and time .in a d i b t k i b u t e d p&ocubo& bybakm. ICASE Report No. 81-6, January 27!, 1981, 24 pages. IEEE Trans. Software Engrg., Vol. 7, No. 6 , November 1 !381, pp . 583-589.

36

Gunzburger, M. D. and R. A. Nicola ides : The computationa.t accwracy 06 borne 6inLte e.4krnen-t method 60'1. incamphenbible v.i6coub Blow phoblem . ICASE Report No. 81-7, February 3, 1981, 19 pages. This r epor t i s combined with ICASE Report No. 81-23. SIAM J. Sci . S t a t i s t . Comput., Vol. 8 , 1982, pp. 167-179.

B a y l i s s , A. and L. Maes t r e l lo : S i m u l a t i o n 06 iMtabiXit ien and bound Radia- tion i n a j e t . ICASE Report No. 81-8, February 5, 1981, 33 pages. A I A A J., Vol. 19, NO. 7, 1981, pp. 835-841.

Vardi, A. : A t a u t hegion a l g o k t h m doh equ&ty covuttained minimizaZion: Convehgence phopeht&% and imp&mentd ion . ICASE Report No. 81-9, February 18, 1981, 35 pages. SIAM J. Numer. Anal., Vol. 22, No. 3, June 1985, pp. 575-591.

Anderson, T. and J. C. Knight: PhaCXicd b o ~ ~ w m e 6 d - t tolehanee doh he& time bybtenM. ICASE Report No. 81-10, March 31, 1981, 39 pages. IEEE Trans. on Software Engrg., Vol. SE9, No. 3, May 1983, pp. 155-164.

van Leer, B.: On the h e k t h n between the upwind-did&~encing bchemeb 06 Godunov, Engqu&t-Obhe&, and Roe. ICASE Report No . 81-11, March 16, 1981, 38 pages, NASA CR-165877. SIAM J. Sci . S t a t i s t . Comput., Vol. 5, No. 1, March 1984, pp. 1-20.

Lambiot te , J. J., S. Bokhari , M. Y. Hussa in i , and S . A. Orszag: Navieh- Stohen aolution 06 the C Y B E R - 2 0 3 bu a wheudobwectaal techniaue. ICASE Report No. 81-12, March 27, 1982, System Simulat ion and S c i e n t i f i c Montreal , Canada, pp 305-307.

Davis, S. F. and J. E. F l ahe r ty : in i t i d -boundmy value phoblem

a

18 pages. 10th IMACS World Congress on Computation, Vol. 1, August 8-13, 1982,

An adaptive Binite element method bot 404 p a t t i d dc6deaential equa&lons.

ICASE Report No. 81-13, March 30, 1981, 42 pages. SIAM J. Sc i . S t a t i s t . Comput., Vol. 3, No. 1, March 1982, pp. 6-27.

Hariharan. S. and E. Stephan: A boundmy &ement method doh a t w o - d i m e h i a n d intei6ace p tob lem i n electhamagnet&. 1981, 17 pages. Numer. Math., Vol. 42, 1983, pp. 311-322.

ICASE Report -No. 81-14, Apr i l 28,

Malik, M. R., S . Chuang, and M. Y. Hussaini : Accwrate numekcd bolution 06 compmusihle, l inea t btabiXity equations. ICASE Report No. 81-15, May 19, 1981, 15 pages. J. Applied Mathematics and Physics (ZAMP), Vol. 33, March 1982, pp. 189-201.

Banks, H. T. and K. Kunisch: An apphoximaX~on theohy 6oh non&.nem p a h t i a l did &henxi& equaZions w i z h appfica-tionb t o ident i6icat ion and canthal . TCASE Report No. 81-16, May 20, 1981, 84 pages. SIAM J. Control Optim., Vol. 20, No. 6, November 1982, pp. 815-849.

Har iharan , S . : l nveue AcaXtekng 604 an extekiotr Dikcheet ptroblem. ICASE Report No. 81-17, May 26, 1981, 23 pages. Quart. Appl. Math., October 1982, pp. 273-286.

37

P h i l i p s , R. B. a.nd M. E. Rose: Compact d i n i t e diddeaence nchema 604 mixed inLt i&-boun:dmy v d u e p t o b l e m - 7 7 . ICASE Report No. 81-18, June 15, 1981, 49 pages. SIAM J. Numer. Anal., Vol. 19, No. 4, August 1982, pp. 698-720.

Na j f e ld , I.: V i ~ ~ ~ e t e fowLie4 t4am6o4m 06 vecto4 betb and p e ~ ~ t u h b u t i o n b 06 c i 4 c u t a n t maL4icen. ICASE Report No. 81-19, Ju ly 1 7 , 1981, 11 pages.

B a y l i s s , A. and L. Maes t re l lo : On t h e i n t e t a c t i o n 06 u nound pLLede W i t h t h e n h e m Laye4 06 an a x & y m m e t ~ c j e t , 7 7 . Heated J e a . ICASE Report No. 81-20, J u l y 20, 1981, 34 pages. J. Sound and Vib ra t ion . , Vol. 86, 1982, pp. 395-409.

Rose, M. E.: A 4ini te di6de4ence ncheme 604 comp4anibXe Nav iek-Stoka equa- tionb and a 4ekLt iOMhiP t o t h e € d e 4 equat ion. ICASE Report No. 81-21, J u l y 22, 1981, 24 pages. Revised under t h e t i t l e Compact dini te d i d ~ e t e n c e ncheme 604 t h e EuRe4 and Nav ie t -S toku equat ionb, ICASE Report No. 82-11. J. Comput. Phys., Vol. 49, No. 3, March 1983, pp. 420-442.

Schwartz, J. T. : f i n d i n g t h e minimum d in tance between two convex po&jgonb. ICASE Report: No. 81-22, J u l y 30, 1981, 8 pages. Inform. Process . L e t t . , Vol. 13, I s sue No. 4 and 5, 1981, pp. 168-170.

Gunzburger, M. D . , R. A. Nicola ides , and J. S. Peterson: On can604ming mixed 6ini te element me thoh 604 i n c o m p 4 u a i b l e V ~ C O U A 6Low paoblem . ICASE Report No. 81-23, J u l y 23, 1981, 29 pages. This r e p o r t was combined with ICASE Report No. 81-7. Comput. Math. Appl., Vol. 8, 1982, pp. 167-179.

Van Albada, G. D., B. van Leer , and W. W. Roberts , Jr.: A compmat ive b tudy 06 computation& meZhoh i n coamLc gacl dynumicn. ICASE Report No. 81-24, August 3, 1981, 32 pages. Astronom. and Astrophys., Vol. 108, 1982, pp. 76-84.

Wenzel, A. R.: RadiaZLon und aZZenua;tLan 06 w a v a i n a aandom medium. ICASE Report No. 81-25, August 5, 1981, 53 pages. Acous. SOC. h e r . , Vol. 7 1 , January 1982, pp. 26-35.

Banks, H. T.: A nuhvey 06 home p4ob lem and 4ecent 4a&& 6 0 4 pcuLamete4 a C i m a t i o n and o p t i m d contrral i n delay and d i n t 4 i b u t e d puhamete4 aybtem. E A S E Report No. 81-26, August 17, 1981, 28 pages. Proc. of Conference 7 , n Vol te r ra and Funct ional D i f f e r e n t i a l Equations, VPI & SU, Blacksburg, VA, June 10-13, 1981.

B a y l i s s , A. and E. Turkel: fah d i a d boundmy conditiom 604 c o m p ~ a a i b l e @OM. 1CAS:E Report No. 81-27, August 25, 1981, 19 pages. Proc. of the Symposium on Numerical Boundary Condition Procedures , NASA Ames Research Center , Moff'ett F i e l d , CA, October 19-20,1981. J. Comput. Phys., Vol. 48, No. 2, November 1982, pp. 182-199.

Zang, T. A., Y. S . Wong, and M. Y. Hussaini : SpecX4& mut t i -g4 id methoh 604 _ _ U i p t i c equ.atiom-.. J. Comput. Phys., Vol. 48, No. 3, December 1982, pp. 485-501.

ICASE Report No. 81-28, August 31, -1981, 24 pages.

38

Abarbanel, S. and E. M. Murman: S t a b i l i t y 06 t w o - d i m e m i a n d hypehbof i c i n i t i d boundahy v&ue pttoblem doh e x p l i c i t and i m p f i c i t behemen. ICASE Report No. 81-29, August 31, 1981, 9 pages. J. Comput. Phys., Vol. 48, No. 2, November 1982, pp. 160-167.

Wong, Y. S. and M. M. Hafez: Pheconditioned conjugate ghadcen-t method 604 t h a n 6 O n i C d l o W C d C d a t i O v c l l . ICASE Report No. 81-30, September 16, 1981, 2 2 pages. Precondi t ion ing Techniques, (D. J. Evans, ed . ) , Gordon and Breach, Ltd., New York, 1982. A v e r s i o n emphasizing a p p l i c a t i o n s appeared under t h e t i t l e ConjugaRe ghadient method applied to t h a n 6 O K i C & b i t e didbehence and dini te element cdcl&ation.b, i n the AIAA J., Vol. 20, No. 11, November 1982, pp. 1526-1533.

Schwartz, J. T.: Commena2 on highly h a a b l e bo@mhe doh avionics applica- Xiom. ICASE Report No. 81-31, September 23, 1981, 2 1 pages, NASA CR- 165878. Proc. of the Nat ional Computer Conference, sponsored by AFIPS, Houston, TX, June 7-10, 1982.

Banks, H. T. and P. L. Daniel: Pahameteh U t h n a t i O n 06 non.&neah non- autonomou dibttLibuted bybtemb. ICASE Report No. 81-32, October 6, 1981, 5 pages. Proc. of t he 20th IEEE Conference on Decision and Cont ro l , San Diego, CA, December 16-20, 1981.

Banks, H. T. and I. G. Rosen: S p l i n e U p p h O X ~ m & . i O v L s 604 fineah nona.u.,tonomaus delay dqbtem. ICASE Report No. 81-33, October 9, 1981, 60 pages. J. Math. Anal. Appl., Vol. 96, No. 1, October 15, 1983, pp. 226-268.

Harten, A.: On t h e bymmethic dohm 05 bybtemb 05 COt7behVcLtiOn tUWb w i t h en tkopy . ICASE Report No. 81-34, October 15, 1981, 20 pages. J. Comput. Phys., Vol. 49, No. 1, January 1983, pp. 151-164.

G a t s k i , T. B , C. E. Grosch, and M. E. Rose: A nUmetLiC& btudy 06 t h e two- dimemionat Naviek-Stohen equaRiom in voht ic i ty -ve loc i ty v d a b l e n . ICASE Report No. 81-35, November 3, 1981, 24 pages. J. Comput. Phys., Vol. 48, No. 1, October 1982, pp. 1-22.

Rosen, I. G. : Q.iAcheXe apprroximation methOd.6 doh pcutameteh i d e n t i @ x t i o n in delayb bqtefnb. ICASE Report No. 81-36, November 9, 1981, 67 pages. SIAM J. Cont ro l Optim., Vol. 22, No. 1, January 1984, pp. 95-120.

Fix, G. J., D. N. Lee, and G. Liang: Stable dinite elemenlx doh the Navieh- Stohen equationb. ICASE Report No. 81-37, November 19, 1981, 11 pages. Numer. Math., Vol. 37, 1981, pp. 29-48.

Banks, H. T. and J. M. Crowley: Pahamete4 a t i r n a t i o n 604 dibthihuRed bybtem curbing i n d a h X i c i t y . ICASE Report No. 81-38, December 1, 1981, 20 pages. Inv i t ed l e c t u r e , NCKU/AAS Symposium on Engineering Sciences and Mechanics, Nat ional Cheng Kung Univers i ty , Tainan, Taiwan, December 2 8 , 1981 - January 1, 1982.

39

Gunzburger, M. D. and R. A. Nicolaides: S t a b i l i t y 06 Gaudbian ei%nination withou.2 pivoting on t t i d i a g o n d T o e p f i t z maZtice6. ICASE Report No. 81-39, December 2, 1981, 9 pages. Linear Algebra Appl., Vol. 45, 1982, pp. 21-28.

Teglas , R. G. : On the c o n t t o l canonicd bt&uctuhe 06 a &abb 06 b C d a h input bybtem. ICASE Report No. 81-40, December 14 , 1981, 31 pages. Replaced by ICASE Report No. 83-18, appeared i n SIAM J. Control Optim., Vol. 22, NO. 4, Ju ly 1984, pp. 552-569.

F i x , G. J. and E. Stephan: f i n i t e demen-t methoch 06 t he .&abX bquaheb type d o t tegionb wi th cotnem. ICASE Report No. 81-41, December 16, 1981, 15 pages. Computer and Math with Appl ica t ions , Vol. 10, 1985, pp. 463-476.

Go t t l i eb . D. and L. Lustman: The VuFoxt-Ftankel Chebubhev method h o t paha- - - bo& iUzit4.d boundmy va lue ptablemb . ICASE Report No. 81-42, December 28, 1981, 25 pages. Comput. & Fluids . , Vol. 11, No. 2, 1983, pp. 107-120.

ICASE Reports: 1980

B a y l i s s , A., M. D. Gunzburger, and E. Turkel: Boundmy condition6 d o t t h e nwnelcicd aalut ion 06 e U i p t i c equat ioa i n e x t e t i a t tegiann. ICASE Report No. 80-1, January 11, 1980, 45 pages. SIAM J. Appl. Math., Vol. 42, No. 2, A.pri1 1982, pp. 430-451.

Bauschl icher , C. W.: Sing&t-tt ip&t bepahation i n C B r 2 . ICASE Report No. 80-2, January 21, 1980, 11 pages. J. h e r . Chem. SOC., Vol. 102, 1980, pp. 54-92.

Wray, A. and M. Y. Hussaini : Numetical expetimenb i n boundmy l a y e t b t a h i t i t y . ICASE Report No. 80-3, January 22, 1980, 9 pages. Proc. Roy. SOC. London'(A), Vol. 392, 1984, pp. 373-389.

Bauschl icher , C. W.: Accutate ab i n i t i o cdcUeaXionb 604 ;the 'gl - 'A1 bepahation I.n methylene. ICASE Report No. 80-4, January 23, 1980, 11 pages. Chem. Phys. Le t t . , Vol. 74, No. 2, 1980, pp. 273-276.

Klopfer , G. and If. Y. Hussaini : A btudy a6 dotmaZion 06 intenbe b h e m l a y e a i n t t a n d i t i o n d boundmy l a y e m . ICASE Report No. 80-5, January 31, 1980, 31 pages, NASA CR-165909.

Abarbanel, S. and D. G o t t l i e b : O p t i m d t ime b f l i t t i n g d o t two- and th t ee - dimendionat Nuvie&-Stokea equaXion6 with mixed d e t i v a t i v e b . ICASE Report No. 80-6, February 18, 1980, 43 pages. J. Comput. Phys., Vol. 41, No. 1, May 1981, pp. 1-33.

S t r ikwerda , J. C. and J. F. Geer: A numetic& method d o t computing the Ahape 06 a v e f l i c l d blenden j e t . ICASE Report No. 80-7, March 24, 1980, 35 pages. SIAM J. Sc i . S t a t i s t . Comput., Vol. 1, 1980, pp. 449-466.

40

Bauschl icher , C. W. and I. Shav i t t : A l o w e n e t g y p u b a g e d o t C+ + H2 C H + ( l Z + ) + H. ICASE Report No. 80-8, Apr i l 8, 1980, 11 pages. Chem. Phys. L e t t . , Vol. 75, 1980, pp. 62-65.

Bauschl icher , C. W. : C l b u p e t p o b i t i o n e m o t c u e d b y bond d u n c t i o n b . ICASE Report No. 80-9, Apr i l 11, 1980, 9 pages. Chem. Phys. L e t t . , Vol. 74, No. 2, 1980, pp. 277-279.

B a y l i s s , A. and L. Maes t re l lo : The n e m d i a d i n t e t a c t i o n be tween a bound p u h e and a j e t bheatr l a y e t . ICASE Report No. 80-10, A p r i l 11, 1980, 10 pages. Proc. of t he AIAA 6th Aeroacoust ics Conference, Palo Al to , CA, June 4-6, 1980, AIAA Paper No. 80-0960.

Eiseman, P. R.: G e o m e t ~ c metho& i n computat ion& dlLLid dynamicf , . ICASE Report No. 80-11, A p r i l 18, 1980, 177 pages. Von Karman I n s t i t u t e Lec tures , June 1980.

F i x , G. F. and R. A. Nicolaides: An a n d y b d 06 mixed d e m e n t app tox- ima t ionb d o t p e k i o d i c acoubfic wave p t o p a g a t i o n . ICASE Report No. 80-12, A p r i l 25, 1980, 17 pages. SIAM J. Numer. Anal., Vol. 17, N o . 6, December 1980, pp. 779-786.

Cox, B. and C. W. Bauschl icher : Swrdace t d a x a t i o n and induced b t t e b b accompanying t h e a b h o t p t i o n 06 H upon BE (0001 1. ICASE Report No. 80-13, June 4 , 1980, 27 pages. Surface Sc ience , Vol. 102, 1981, p. 295.

Lengsf ie ld , B., J. J a f r i , D. P h i l l i p s , and C. Bauschl icher : On t h e ube 06 corncuponding o t r b i t a h i n c d c i d a t i o n oh non-o t thogona l t t a n b i t i o n momen&. ICASE Report No. 80-14, June 12, 1980, 26 pages. J. Chem. Phys., Vol. 74, 1982, p. 6849.

Zang, T. A. and M. Y. Hussaini : Mixed bpecXt& d i n i t e diddetrence apptoxima- tionb d o t a f i g h a y v d c o u b ~ l O W . ICASE Report No. 80-15, June 20, 1980, 6 pages. Proc. of t he 7 t h I n t e r n a t i o n a l Conference on Numerical Methods i n Fluid Dynamics, Stanford, CA, Lecture Notes i n Physics , (W. Reynolds and R. MacCormack, eds.) , Springer-Verlag , 1981.

Eiseman. P. R.: C o o t d i n a t e aenetra t ion w i t h Dteche c o n t t o h . ICASE ReDort No: 80-16, June 20, 19180, 6 pages. Proc. of t he 7 t h I n t e r n a t i b n a l Conference on Numerical Methods i n Fluid Dynamics, S tanford , CA, Lecture Notes i n Phys ics , (W. Reynolds and R. MacCormack, eds .) , Springer-Verlag , 1981.

Bauschl icher , C. W., B. Lengsf ie ld , and D. Yarkony: C)n t h e COW l y i n g b i n g l e t b t a t e b 05 BeO. ICASE Report No. 80-17, Ju ly 14 , 1980, 12 pages. J. Chem. Phys., Vol. 73, No. 11, 1980, pp. 5702-5705.

Bauschl icher , C. W., B. Lengsf ie ld , and D. Yarkony: MCSCF d o t e x c i t e d btateb. ICASE Report No. 80-18, J u l y 14, 1980, 3 pages. Proc. of t h e Nat ional Resources f o r Computation i n Chemistry Workshop a t Lawrence Berkeley Laboratory, Col lege S t a t i o n , TX, 1980.

41

Lengsf ie ld , B. and C. W. Bauschlicher: On the conve4gence p4ope4tieb 06 the d e n h a y m a t k i x dinected genehd aecond olrdeh MCSCF a l g o t i t h m . ICASE Report No. 80-19 -' Ju ly 14, 1980, 5 pages. Proc. of the Nat iona l Resources f o r Computation i n Chemistry Workshop a t Lawrence Berkeley Laboratory, College S t a t i o n , TX, 1980.

Rose, M. E.: A unidied nwneticd ttteatment ad the wave equation and the Cauchy-Riemann equation. ICASE Report No. 80-20, Ju ly 14 , 1980, 11 pages. SIAM J. Numer. Anal., Vol. 18, No. 2, Apr i l 1981, pp. 372-376.

Bayl i ss , A. and E. Turkel : Outdlow boundmy conditionh 604 dlLLid d y n a m i u . ICASE Report No. 80-21, August 7 , 1980, 23 pages. SIAM J. Sc i . S t a t i s t . Comput., Vol. 3, No. 2, 1982, pp. 250-259.

N ico la ides , R. A.: C o - e n e q y methods 604 e u i p t i c blow and &elated p4ob- l e m . ICASE Report No. 80-22, August 18, 1980, 20 pages. Proc. of E l l i p t i c Problem So lve r s , h e l d under auspices of Los Alamos S c i e n t i f i c Laboratory, Santa Fe, NM, June 30 - Ju ly 2, 1980.

Brandt , A.: M&I3!.-5~d bo&JeU on patL&el computek.4. ICASE Report No. 80- _I 23, September 2, 1980, 45 pages. E l l i p t i c Problem So lve r s , (M. Schu l t z , ed.) , Academic P res s , 1981, pp. 39-84.

Abarbanel, S . and D. G o t t l i e b : On imp4oving the 2 - 4 t w o - d i m e n h i a n d leap 6409 acheme. - ICASE Report No. 80-24, September 22, 1980, 11 pages. SIAM J. Sei. S t a t i s t . Comput., Vol. 1, No. 4, December 1980, pp. 426-430.

L in , C. and W. W. Roberts , Jr.: Some AtLLid dqnamical p4abLemd i n g a l a x i e s . ICASE Report No. 80-25, October 15, 1980,- 36 page's. Annual Review of Fluid Mechanics, Vol. 13, 1981, pp. 33-55.

Bona, J., W. P. P r i t c h a r d , and L. R. S c o t t : An evduation 0 6 a model equation 404 wate4 waua. ICASE Report No. 80-26, October 16, 1980, 107 pages. Philos. Trans. Roy. S O C . landon, Vol. 302, No . 1471, September 1981, pp. 457-5 10.

Str ikwerda , J. c.: A t ime-6pf i . t did6ehence acheme 604 the comp&ubible Navie4-Stoheb e q u d i o m wiAh appl~cationh t o d l o u i n b l o t t e d n o z z l u . EASE Report No. 80-27, October 20, 1980, 24 pages. P a r a l l e l Computa- t i o n s , Vol. I. i n Computational Techniques, (G. Rodrigue, ed .), Academic Press, 1982, pp. 251-267.

S t r ikwerda , J. C. and K. R. Bube: lntercio4 hegubz iXy utimatu 604 &p$iC byatem 06 &.6dekence equationb. ICASE Report No. 80-28, October 21, 1980, 51 pages. SIAM J. Numer. Anal., Vol. 20, No. 4, August 1983, pp. 653-670.

Anderson, C. and J. F. Geer: Pawe4 b e t . h expamionh do4 t h e dkequency and p e t i a d ad the f i r n i t c y d e 06 t h e van de& Pol equation. ICASE Report No. 80-29, October 29, 1980, 29 pages. SIAM J. Appl. Math., Vol. 43, No. 3, 1982, pp. 678--693.

4 2

Eiseman, P. R.: Cookdinate genekdion W a h p e d e contkoh Ovek muh pkopeMiu , ICASE Report No. 80-30, November 14, 1980, 71 pages. J. Comput. Phys., Vol. 47, No. 3, September 1982, pp. 331-351.

Hariharan, S . I.: On the n o k m d bzkesb ehdec t~ 06 incampkenbible non- Newtonian 6LLLicfb. ICASE Report No. 80-31, November 1 4 , 1980, 14 pages. J. Frankl in Ins t . , Vol. 312, No. 2, 1981, pp. 109-119.

McKendry, M. and R. Campbell: CapabLLitien dok h igh lev& .tanguagecl. ICASE Report No. 80-32, November 24, 1980, 28 pages.

Levinson, F. and W. W. Roberts , Jr.: ZvLt,i.qh-tb i n t o the gqab dynamicb i n g d a x i e h v i a a paRa%&e m o d e l . ICASE Report No. 80-33, November 25, 1980, 15 pages. Proc. of t he 12th I n t e r n a t i o n a l Symposium on Raref ied Gas Dynamics, ( S . F i s h e r , ed .), C h a r l o t t e s v i l l e , VA, Ju ly 7-11, 1980.

G o t t l i e b , D., L. Lustman, and S . A. Orszag: SpeCtkd C d c d U t i O v L t , 06 one- d imens iona l i n v d c i d comptesbible ~ l o w b . ICASE Report No. 80-34, December 4 , 1980, 44 pages. SIAM J. Sc i . S t a t i s t . Comput., Vol. 2, No. 3, September 1981, pp. 296-310.

Vard i , A . : A taus-t aegion dgotLi-thm 604 uncomzkained min imiza t ion con- verrgence pkopeatiu and implementation. ICASE Report No. 80-35, December 4 , 1980, 31 pages.

Campbell, R. and P. Richards: SAGA - A byatem t o automaXe the munagement 0 4 bo@ume pkodudion. ICASE Report No. 80-36, December 16, 1980, 1 2 pages. AFIPS Conference Proc. o f t he 1981 Nat iona l Computer Conference, Alex Orden, ed., Chicago, IL. , May 4-7, 1981, AFIPS Pres s , Arl ington, VA, pp. 231-234.

ICASE Reports: 1979

Harten , A. and H, Tal-Ezer: On a domth-okdet accwlate i m r n c i t i i n i t e didderrence beheme ,(OR hypekboac consekvation law : 1. Mon-btib6 b tkong- lg- dynamic pkoblem . ICASE Report No. 79-1, Math. Comp., Vol. 36, No. 154, Apr i l 1981, pp.

Rudy, D. and J. C. Str ikwerda: A non-ked.tecZing 6 0 ~ Aubbonic Naviek-Stokes c&cdatiovLt,. January 12, 1979, 27 pages. J. Comput. Phys., pp. 55-70.

January 9, 1979, -46 pages. 353-37 3.

out@ow boundm y c o n d i t i o n ICASE Report No. 79-2,

Vol. 36, No. 1, June 1980,

Bauschl icher , C. W.: The covlbtmction 06 modidied v&tud o k b i - t a b ( M V O ' b ) which m e a LLited d o t con~igwration interraction cdcdat iom . ICASE Report No. 79-3, January 17, 1979, 14 pages. J. Chem. Phys., Vol. 72, 1980, pp. 880-885.

43

Rose, M. E.: An mtidicial eneagy method 404 c a c d d i n g dlow u i t h A h o c b . ICASE Report No. 79-4, January 23, 1979, 8 pages. J. Comput. Phys., Vol. 38, No. 1, November 1980, pp. 107-113.

S t r ikwerda , J. C,,: l teaat ive m e t h o d 604 t h e numekh.d b o l u t i o n 06 decond orrdetr e U . L p t ~ S c e q u d i o n a w i t h lmge @r.bt a&&& team. ICASE Report No. 79-5, February 8, 1979, 24 pages. SIAM J. S c i . S t a t i s t . Comput., Vol. 1, No. 1 , March 1980, pp. 119-130.

B a y l i s s , A. and E. Turkel: Pynamica acoubtica d o t t h e STAR-100. ICASE Report No. 79-6, March 7, 1979, 11 pages. Advances i n Computer Methods f o r Par- t i a l D i f f e r e n t i a l Equations 111, (R. Vichnevetsky and R. Stepleman, eds.) , IMACS, 1979, pp. 61-64.

Bay l i s s , A. and 15. Turkel: Boundmy c0nMLon.h d o t exte&o& acoudtic pkob- l em. - ICASE Report No. 79-7, March 30, 1979, 6 pages. Advances i n Computer Methods f o r P a r t i a l D i f f e r e n t i a l Equations 111, (R. Vichnevetsky and R. Stepleman, eds.) , IMACS, 1979, pp. 127-131.

Brandt , A. : M d ~ - l e v e l a d a p t i v e dini te element methoch : 1. Vahiat ionat prroblem. 'ICASE Report No. 79-8, A p r i l 2, 1979, 71 pages. Spec ia l Topics of Applied Mathematics, (D. Pa l laschke and U. Trot tenberg , eds.) , North Holland, 1980, pp. 91-128.

Anderson, T. and P. A. Lee: The p r r o v h i o n 06 aecoveaable in teadacu . ICASE Report No. :79-9, Apr i l 16, 1979, 1 4 pages. Digest of Papers , FTCS-9, Madison, W I , June 1979.

Harten, A. and H. Tal-Ezer: On a douhth-otdetr accuhde 4mNici.t dini te di6deaence 2, cheme 604 h y p e a b a f i c conseavation lawb , 7 7 . F i v e - p o i n t A c h e m a . ICASE Report No. 79-10, June 1, 1979, 42 pages. J. Comput. Phys., Vol.-41, No. 2, June 1981, pp. 329-356.

Raffenetti, R. arid D. Phillips: G a ~ e o u b " 4 C I f i e v h h z e d : A computat ion& i n v a t i g a Z i a n 06 the potent&& bwrdace and pttopeat .b. ICASE Report No. 79-11, June 5, 1979, 28 pages. J. Chem. Phys., Vol. 71, December 1979, pp. 4534-4540.

Bona , J. , W. P. P r i t c h a r d , and L. R. Sco t t : Solitatry-wave inteaaction. ICASE Report No. 79-12, June 21, 1979, 10 pages. Phys. F lu ids , Vol. 23, 1980, pp. 438-441.

Dupont, T. and L. R. Sco t t : Po&&wmid appaox+Lmdion otf t functiond i n Sobolev dpacen. ICASE Report No. 79-13, June 29, 1979, 4 8 pages. Math. Comp., Vol. 34, 1980, pp. 441-463.

Bokhari , S. : Op4:imd asbignrnents i n dud-prroce6boh cht&bcLted d ydtemb undea vmy ing load conditions. ICASE Report No. 79-14, Ju ly 5, 1979, 39 pages. Appeared under t h e t i t l e A b h o t t u t t t e e d g o ~ t h m dot o p t i m d ashignmena amoda Apace and time i n a d.bt&bLLted prrocabo4 d y b t e m i n IEEE Trans. Software Engrg., Vol. SE-7, November 1981, pp. 583-589.

44

Brandt , A.: MLLeti-gtLid A O ~ ~ i O M C , to e&p.tic #?OW pmblem. ICASE Report No. 79-15, Ju ly 6, 1979. Proc. of t he Conference on Numerical So lu t ion o f P a r t i a l D i f f e r e n t i a l Equat ions, Mathematics Research Center , Un ive r s i ty of Wisconsin, Madison, W I , October 1978.

--

Bokhari , S.: On t h e m a p p i n g pmblem. ICASE Report No. 79-16, J u l y 24, 1979, 10 pages. Proc. of IEEE I n t e r n a t i o n a l Conference on P a r a l l e l Processing, August 21-24, 1983, (0. Garc ia , ed.) I E E E Computer Socie ty Press, pp. 239-248.

G o t t l i e b , D. : The b t a b i l i t y od pdeudoapec.tha.t Chebyhhev metho&. ICASE Report No. 79-17, August 6, 1979, 24 pages. Math. Comp., Vol. 36, No. 153, January 1981, pp. 107-118.

Rudy, D. and J. C. Str ikwerda: Boundmy con&iona 604 Aubbonic compxedhible Navie4-Stoked cdcu4'atioyLcl. ICASE Report No. 79-18, August 6, 1979, 30 pages. Comput. & Flu ids , Vol. 9, 1982, pp. 327-338.

Brandt, A , : M d t i - t e v e l adaptive fjinite element computatk?nb i n @ h i d d y n a m i a . ICASE Report No. 79-19, August 7 , 1979, 9 pages. AIAA J., Vol. 18, 1980, pp. 1165-1172,

Turke l , E. : Nume&icaX method6 604 lmge-hcale , Xime-dependent p a n t i d d i d - de4entid equaXioM. ICASE Report No. 79-20, August 20, 1979, 136 pages. Computational F lu id Dynamics, (W. Kollman, ed.) , Hemisphere Publ ishing Corp., Washington, 1980, pp. 128-262.

Wenzel, A. R.: Spect4d bmadening 06 wava phopagating i n a handom medium. ICASE Report No. 79-21, September 4, 1979, 37 pages, ( a r e v i s i o n of ICASE Report No. 78-11). J. Math. Phys., Vol. 21, No. 8, August 1980, pp. 2 131 -2 139.

N ico la ides , R. A. : Exihtence, uniquenuh and apphoxhation 504 gene4a.tized hadue p o i n t p toblem. ICASE Report No. 79-22, September 4, 1979, 22 pages. SIAM J. Numer. Anal., Vol. 19, No. 2, Apr i l 1982, pp. 349-357.

Geer J. R. and J. C. Strikwerda: Ve4t i cd hlendetr j e h . ICASE Report No. 79-23, September 1 2 , 1979, 18 pages. J. Flu id Mech., Vol. 101, 1980, pp. 53-63

Jameson, A. and E. Turkel: ZmfliCt Achemu and LU decompOAiXion-4. ICASE September 17, 1979, 23 pages. Math. Comp., Vol. 37,

No. 156, October 1981, pp. 385-397.

Bauschl icher . C. W.: lmmoved C I Xofimda evduat ion: the c%bn,Lnation O X the phabe dkerrmination' l e v e l doh atrbi.tha%Lty coupled CSF'h. ICASE Report No. 79-25, September 20, 1979, 5 pages. I n t l . J. Quant. Chem., Vol. 19, 1981, p. 649.

B a y l i s s , A. and E. Turkel: Radiation boundmy con&ionh 604 wave-Like equa- t i o n ~ . ICASE Report No. 79-26, October- l , 1979, 31 pages. Comm. Pure Appl. Math., Vol. 33, 1980, pp. 707-726.

Bagus, P. and C. W. Bausch i c h e r : Cone b i n d i n g enehgy ahid& do& 6hee nega- t i v e iom 05 oxygen: 0 t o O=. ICASE Report No. 79-27, October 8 , 1979, 14 pages. J . E lec t ron Spectroscopy and Related Phenomena, Vol. 20, 1980, pp. 183.

b

Harten, A. and P. D. Lax: A handom choice d in i t e diddenence scheme don hypen- bo&c conAemation Laws ( a phelimbmhy hepont). ICASE Report No. 79-28, October 1 2 , 1979, 57 pages. SIAM J. Numer. Anal., Vol. 18, No. 2, Apr i l 1981, pp. 289-315.

Hussa in i , M. Y., B. Baldwin, and R. MacCormack: h y m p t o t i c &Xh.Uleb 06 shock- wave, boundtury-layea intenaction. ICASE Report No. 79-29, October 29, 1979, 14 pages. AIAA J., Vol. 18, No. 8, 1980, pp. 1014-1016.

Bauschl icher , C. W. and D. Yarkony: MCSCF wave&n.cXiom doh excited s t a t u 06 palm molec.&u: app&cation t o BeO. ICASE Report No. 79-30, October 30, 1979, 30 pages. J. Chem. Phys., Vol. 2, No. 2, 1980, pp. 1138-1144.

M a e s t r e l l o , L., A,. B a y l i s s , and E. Turkel: On t h e intehaction between a sound p&e with the bhem Layen 06 an axLbymrnetaLc j e t . ICASE Report No. 79-31, December 19, 1979, 47 pages. J. Sound Vib ra t ion , Vol. 74, No. 2, January 1981, pp. 281-301.

G o t t l i e b , D., S. A. Orszag, and E. Turkel: S t a b d i t y i n pbeudOhpecth& and &kite did&nence methods don v d a b l e coed6icien.t pnoblem . ICASE Report No. 79-32, December 20, 1979, 27 pages. Math. Comp., Vol. 37, No. 156, October 1981, pp. 293-305.

Bauschl icher , C. W . , D. S i l v e r , and D. Yarkony: An S C F and MCSCF d u ' d p t i o n 06 the Low l y i n g s t a t u 06 MgO. ICASE Report No. 79-33, December 2 1 , 1979, 16 pages. J. Chem. Phys., Vol. 73, 1980, pp. 2867-2870.

ICASE Reports: 1978

G o t t l i e b , D. and E. Turkel : On time dincrtetizaXiom don bpect&d metho&. ICASE Report No. 78-1, January 11, 1978, 30 pages. Stud. Appl . Math., Vol. 63, 1980, pp. 67-86.

Zang, T. A. and F. Hohl: Cornputen expe4irnena on the e6dec-t 06 netnognade b t m i n d i s h g&axiu . ICASE Report No. 78-2, January 17, 1978, 4 7 pages. Astrophys. J., Vol. 226, 1978, pp. 521-539.

Hamlin, G. H., Jr. and T. Crocket t : A mbY~ophocecl.boh a s . b t e d gnaphics bybtem. - ICASE Report No. 78-3, January 31, 1978, 14 pages. SIGGRAPH '78 Proceedings, Vol. 12, No. 3, August 1978, pp. 313-317.

Bausch l i che r , C. W. and D. Yarkony: Electnonic st&UC~uJ~e 06 CaO: 1. ICASE Report No. 78-4 -' February 1, 1978, 29 pages. J. Chem. Phys., Vol. 68, NO. 9, May 1978, pp. 3990-3997.

46

Korn, D. and J. J. Lambiotte, Jr.: Computing the dab$ fowLieh thanbdohm on a vectoh computeh. ICASE Report No. 78-5, February 23, 1978, 29 pages. M t h . Comp., Vol. 33, No. 147, J u l y 1979, pp. 977-992.

Abarbanel, S . and D. Go t t l i eb : Stab&ty 06 two-d imevuiond i n i t i d boundmy v d u e phoblem ming Leap dhog t y p e achema. ICASE Report No. 78-6, February 28, 1978, 2 2 pages. Math. Comp., Vol. 33, No. 148, October 1979, pp. 1145-1155.

F i x , G. J., M. D. Gunzburger, and R. A. Nicola ides : On mixed dini te dement meXho&: 1 7 7 . The g t i d decompoai.t;ion p h o p e h t y and exampLa. ICASE Report No. 78-7, March 9, 1978, 30 pages. Revised under the t i t l e On mixed dini te element method6 doh 6iu.t ohdeh W p t i c ayatem, ICASE Report No. 81-3, January 15, 1981, 35 pages. Num. Math., Vol. 37, 1981, pp. 29-48.

Nicola ides , R. A.: On dini te dement m u l t i - g ~ d d g o ~ t h m and the ih me. ICASE Report No. 78-8, March 17, 1978, 17 pages. Proc. of the Conference on t h e Mathematics of F i n i t e Elements and Appl ica t ions , Brunel Universi- t y , England, A p r i l 1978.

Jordan , H.: A h p e & d p w r p o d e ahchi$ecZwre doh dini te dement a n d y d h . ICASE Report No. 78-9, March 29, 1978, 30 pages. Proc. of the 1978 I n t l . Conference on P a r a l l e l Process ing , August 22-25, 1978, (G. Jack U p o v s k i , ed.) , IEEE Computer Socie ty P res s , pp. 263-266.

Schwartz, J. T.: 7nbtantiaXian and decidion phocedwtea doh cehtah dabs 06 quantidied aet-theohetic domdae . ICASE Report No. 78-10, August 11, 1978, 20 pages.

Wenzel, A. R.: Fhequency apectha ad doLuA%onb 06 stochastic equaXionb with appficaXioM t o bpectad bhoadening 06 wavea phopagaXing i n a trandorn me&. ICASE Report No. 78-11, August 14, 1978. A r e v i s i o n of t h i s paper appears as ICASE Report No. 79-21, J. Math. Phys., August 1980, p. 2131.

Rose, M. E.: OpehaXoR ~actot iza. t ionb genehae-izing the Gawa &mination method. ICASE Report No. 78-12, August 22, 1978, 10 pages.

G o t t l i e b . D.. M. D. Gunzburaer. and E. Turkel: Numetied boundmy t4eaZmen-t doh. dydtem od hyp&bo&c equat-ionb. ICASE Report io. 78-13, September 7, 1978, 23 pages. SIAM J. Numer. Anal., Vol. 19, No. 4 , 1982, pp. 671-697.

Fung, T., C. Liu, and M. D. Gunzburger: SimdaXion 06 the pheaawre d i a d neah a j e t b y handody didtt ibuted vohtex d n g a . ICASE Report No. 78-14, September 8 , 1978, 20 pages. AIAA J., Vol. 17, 1979, pp. 553-557.

Fix, G. J., and M. D. Gunzburger: On n w n e ~ c d method6 doh acomt ic phob- -

lem. ICASE Report N o . 78-15, September 13, 1978, 34 pages. Math. Comput. with Appl., Vol. 6, 1980, pp. 265-278.

47

Str ikwerda, J. C.: 1 n i t i d baundmy v d u e ptroblem &OR the method 06 l i n u . ICASE Report No. 78-16, September 2 7 , 1978, 22 pages. J. Comput. Phys., Vol. 34, 1980, pp. 94-107.

S t r ikwerda , J. C.: T i m e - d i n g d m 6 ybtem6 06 pmticd dc66eRenticd equaXianh. ICASE Report No. 78-17, September 30, 1978, 36 pages.

Brandt , A. : M d t i - l e v d adaptive techniquu (MLAT) 604 b i n g d m pektmbaXion ptrablem. ICBSE Report No. 78-18, October 12, 1978, 90 pages. Numerical Analys is of S ingular Pe r tu rba t ion Problems, (P. W. Hemker and J. J. H. M i l l e r , eds.) , Academic Press , 1979, pp. 53-142.

-

Turke l , E.: On the plracticcd ube 0 6 h i g h otdek methad d o t hypekbafic 6ya- te rn . ICASE Report No. 78-19, November 16, 1978, 39-pages. J. Comput. Phys., Vol. 35, 1980, pp. 319-340.

Madsen, N. : Cyfic add-even Reduction d o t 6 y m m e t u k c h c d a n t rnaX&Lced. ICASE Report No. 713-20 November 14, 1978, 26 pages. J. Linear Algebra and App l i ca t ions , Vol. 51, 1983, pp. 17-35.

-9

McRae, D. and M. Y. Hussaini : Numelcicd a i m d a Z i o n 06 aupeuonic cone &?W aX h i g h angle 06 attack. ICASE Report No. 78-21, November 15, 1978, 10 pages. Proc:. of the AGARD FDP Symposium on High Angle of Attack Aerodynamics, Sandefjord, Norway, October 4-6, 1978, (AGARDXPP 2 4 7 ) , pp. 23-1 t o 23-10.

B a y l i s s , A. and E. Turkel: computation 06 acaubtic w a v u i n a j e t . ICASE Report No. 78-22, December 22, 1978, 32 pages. -

ICASE Reports 1977

Hamlin, G. H., Jr. and C. W i l l i a m Gear: Ras.teR-hcan hidden awrgace aLgotcCthm techniquu. ICASE Report No. 77-1, January 7, 1977, 27 pages. Proc. of SIGGRAPH '77, Computer Graphics, Vol. 11, No. 1977, pp. 206-213.

Harten, A.: The tvrtifjicid camptruaion method OR computaXion 06 ahacb and c a n t a d d.ihca,vztinLLitiu: 1. Single canhetrvation .&mh. ICASE Report No. 77-2, February 16, 1977, 39 pages. Comm. Pure Appl. Math., Vol. 30, 1977, pp. 611-638.

G o t t l i e b . D. and E. Turkel: On acce.teRaXion ox MacCatmack'a acheme. ICASE -~

Report No. 77-3, March 1, 1977, 7 pages. 2 , February 1978, pp. 252-256.

J'. Comput. Phys., Vol. 26, No.

B a y l i s s , A.: A double ahaoting acheme 604 c e a a i n unhtable and d i n g d m baundmy v d u e ptroblem. ICASE Report No. 77-4, March 22, 1977, 16 pages. Math. Comp., Vol. 32, No. 141, January 1978, pp. 61-71.

48

B a y l i s s , A. : Fotrced Q b C d % l $ ~ O V l b i n ~ U U & a t i C m y damped b ybtem.4 . ICASE Report No. 77-5, March 28, 1977, 28 pages. Comm. Pure Appl. Math., Vol. 31, 1978, pp. 69-88.

Mansf ie ld , L.: Finite dement methoch dotr ptroblem.4 i n dynamic e l a n t i c i t y . ICASE Report No. 77-6, March 29, 1977, 19 pages.

Ortega, J. M. and R. G. Voigt: S O t u t i O K 06 patr;tiCd diddetrent id equa..i%onb on v e d o t r computes. ICASE Report No. 77-7, March 30, 1977, 50 pages. Proc. of t h e 1977 Numerical Analysis and Computers Conference, ARO Report NO. 77-3.

Voigt , R. G . : The in6luence 06 vectotr computetr m&i;tectuhe on nwne&Lcd Cdgo&Lthm. ICASE Report No. 77-8, March 21, 1977, 17 pages. High Speed Computer and Algorithm Organizat ion, (D. Kuck, D. Lawrie and A. Sameh, eds .), Academic P res s , pp. 229-244.

Hamlin, G . H., Jr.: Ranteh-bcan ConveUion ubing cOncf.Uttrent m i C h O p t r O C e b - borrb. m, May 10, 1977, 17 pages. Proc. of the F i r s t Rocky Mountain Symposium on Microprocessors , F o r t C o l l i n s , CO, August 1977.

Hamlin. G . H., Jr. and T.. Boardman: A micnoptocenbotr b a e d dinptaq canttrot- . < e&. ICASE Report No. 77-10, May 23, 1977, 9 pages. Proc. of t he I n t l . Conference on Microcomputers, Minicomputers, and Microprocessors, Geneva, Switzer land, May 1977.

G o t t l i e b , D. and S . A. Orszag: Theotry 06 bpecttrd methoch dotr mixed i n i t i d - boundmy v d u e ptoblem, Pmt 7 7 . ICASE Report No. 77-11, Ju ly 21, 1977, 181 pages. P a r t I1 of a monograph publ ished by SIAM-CRMS, No. 26.

N ico la ides , R. A.: On mLLeti-gGd convetrgence in t h e i n d e d i n i t e cane. ICASE Report No. 77-12, J u l y 27, 1977, 7 pages. Math. Comp., Vol. 32, No. 144, 1978, pp. 1082-1086.

Zang, T. A. and D. Haidvogel: The accuhate boluXion 06 Po-ibbon'b equation b y expandion V i a Chebybhev po lynoni&. ICASE Report No. 77-13, J u l y 28, 1977, 31 pages. J. Comput. Phys., Vol. 30, No. 2, 1979, pp. 167-180.

Gunzburger, M. D. and R. Plemmons: Enetrgy conbetruing notm do& ;the botution 06 hypetrbofic b ybtem.4 05 pmtid did6ehentia-t e q U U t . i O n b . ICASE Report No. 77-14, J u l y 29, 1977, 15 pages. Math. Comp., Vol. 33, 1979, pp. 1-10.

B a y l i s s , A.: On t h e ube ad cootdinate bttretching i n t h e n u m e ~ c d computation 05 high dtrequency bcatte&Lng. ICASE Report No. 77-15, November 14, 1977, 21 pages. J. Sound Vib., Vol. 60, No. 4, 1978, pp. 543-553.

Fix. G. J. and S . Marin: V&a.i%ond methoch do4 undetrwatetr acoubtic ptrob- ' Cem.4. ICASE Report No. 77-16, August 26, -1977, 44 pages. J. Comput.

Phys., Vol. 28, No. 2, August 1978, pp. 253-270.

49

Fix, G. J., M. D. Gunzburger, and R. A. Nicolaides: On mixed dini te element methods : Z. The Kelvin p & h c L p l e . ICASE Report No. 77-17, December 2 8 , 1977, 1 8 pages. Revised under t h e t i t l e On mixed dini te element metho& d o t 6 i ) L b . f otrdea e u i p t i c bybtemb, ICASE Report No. 81-3, January 15, 1981, 35 pages. Numer. Math., Vol. 37, 1981, pp. 29-48.

F i x , G. J., M. D. Gunzburger, and R. A. Nicola ides : On dini te dement methods 06 t h e l e a s t 6quatreb t y p e . ICASE Report No. 77-18, December 30, 1977, 15 pages. Comput. Math. Appl., Vol. 5, 1979, pp. 87-98.

Nicola ides , R. A. : On borne theotret icd and ptraaticd aspee& od m&tigtLid methods. ICASE Report No. 77-19, October 20, 1977, 34 pages. Math. Comp., Vo l .33 , No. 147, Ju ly 1979, pp. 933-952.

Brandt , A. : Mut t i - l evd adaptive techrziqueb (MLAT) d o t pah.t.id diddetrentid equdionb: ldeas and bO@Watre. ICASE Report No. 77-20, November 2 0 , 1977, 42 pages. Mathematical Software 111, ( J . Rice, ed . ) , Academic Press , 1977, pp. 273-314.

Mansf ie ld , L. : Finite element methods do& no&neatr bheU a n d y 6 A . ICASE Report No. 77-21, December 9, 1977, 17 pages. Numer. Math., Vol. 3 7 , 1981, pp. 121-131.

S a l a s , M. D. and J. Daywitt: Sttructutre 06 the conic& d l o w d i e l d abolLt ex- t e t rnd a x i d Cotrneltcl. ICASE Report No. 77-22, November 16, 1977, 9 pages. Presented a t t h e AIAA 16th Aerospace Sciences Meeting, Hunts- v i l l e , AL, January 16-18, 1978.

ICASE Reports: 1976

Hamlin, G. H. , Jr ,.: Condigwable appficationb d o t bateULte gtruphics. ICASE Report No. 7~6-1, - January 2, 1976, 20 pages. Proc. of the Third Annual Conference on. Computer Graphics I n t e r a c t i v e Techniques and Images Proces- s i n g , Vol. 10, NO. 2, Ju ly 1976, pp. 196-203.

Sherman, S. and F.. Brice: Z / O buddetr petrdotrmance i n a v h t u d memotry hyh- tem. ICASE Report No. 76-2, February 2, 1976, 24 pages. Proc. of t he Four th Symposium on t h e Simulat ion of Computer Systems, Vol. 4, August 1976, pp. 25-35.

Gunzburger, M. D. :: On the btabLlXty 06 Gdetrkin methods 604 i n i t i d - b o u n d m y v d u e ptroblem do& hypehbofic b ybtem . ICASE Report No. 76-3, February 20, 1976, 25 pages. Math. Comp., Vol. 31, No. 139, J u l y 1977, pp. 661-675.

Wenzel, A. R.: A note on wave ptropagation ovetr an impedance boundmy. ICASE Report No. 76-4 -’ February 20, 1976, 6 pages. Accepted by the Journa l o f t h e Acoustica.1 Socie ty of America but withdrawn.

50

R a f f e n e t t i , R. C. and M. D. Gunzburger: A note on t h e appfication 0 4 t he din-Cte-di6~etrence boundmy value method t o t he calculation o Botrn- Oppenheimetr vibtrra-t.ional eigenvdueb d o t t h e doubLe minimum E,Fk btate 06 t he hyhogen mo&m.de. ICASE Report No. 76-5, February 25,g1976, 5 pages.

Sherman, S. and R. Brice: Petrdotmance 0 4 a database management bybtem with pcw&.&y Locked v i t t u d buddem. ICASE Report No. 76-6, February 27, 1976, 15 pages. Appeared under t h e t i t l e An extenhion 05 t h e PetrdOtrmUnCe 06 a datababe manage& i n a v i t r tud memotry bybtem wing p m t i & y Locked v a u d buddew i n ACM Trans. on Database Systems, Vol. 2, No. 2, June 1977.

Gear, C. W i l l i a m : The b t a b d i t y 06 numeltical metho& 6otr becond otdetr otrdinmy di66etrentia.t e q u d i o m . ICASE Report No. 76-7, March 16, 1976, 14 pages. SIAM J. Numer. Anal., Vol. 15, No. 1, February 1978, pp. 188-197.

South, J. C., Jr. and A. Brandt: Application 06 a d f i - l e v d gltid method t o akamonic &?OW c d c d a t i o M . ICASE Report No. 76-8, March 19, 1976, 29 pages. Transonic Flow Problems i n Turbomachinery, (T. C. Adams and M. F. P l a t z e r , eds .), Hemisphere Publ i sh ing Company, Washington, 1977, pp. 180-207.

Brice, R. and S. Sherman: E m p i J r i c d campanidon 06 p&i t ioned and nan- p a t i t i o n e d bud&& management i n vitrtual memotry d ybtem. ICASE Report 76-9, March 25, 1976, 14 pages. EUROCAMP Conference Proceedings, Computer Performance Evalua t ion , Online, Middlesex, England, September 1976, pp. 1-16.

F ix . G. J. and M. D. Gunzburger: DoWnhttream boundmy cond-iX~ons $a& vihcoLL6 - . ~LcJW p/robLemb. ICASE Report No. 76-10, A p r i l 7, -1976, 27 pages. Comput.

Math. Appl., Vol. 3, 1977, pp. 53-63.

K le ins t e in , G. and M. D. Gunzburger: Ftrequency modcLea,tion at a moving mateltial intetrdace and a consemation Law d o t wave nwnbetr. ICASE Report No. 76-11, A p r i l 20, 1976, 24 pages. J. Sound Vib., Vol. 48, No. 2, 1976, pp. 169-178.

G o t t l i e b . D. and M. D. Gunzburger: On t h e mat/Lix ecjuU?%.WZb AH + HA* = A*H + HA 'x I. ICASE Report NO, 76-12, A p r i l 21, 1976, 6 pages. J. L inea r Algebra and App l i ca t ions , Vol. 17, 1977, pp. 277-282.

Mastin, C. W. and J. F. Thompson: Ttanhdotrmation 06 thtree-dimenhianal tregionb onto trectangutm tregionh by &iptic b y d t e m b . ICASE Report No. 76-13, Apr i l 26, 1976, 21 pages. Numer. Math., Vol. 29, 1978, pp. 397-407.

Mast in , C. W. and J. F. Thompson: E U i p Z i C bybtemb and nwneltica ttanhdotma- tionh. ICASE Report No. 76-14, May 25, 1976, 19 pages. J. Math. Anal. Appl., Vol. 62, No. 1, January 1978, pp. 52-62.

51

Gunzburger, M. D. i3nd G. K le ins t e in : on t h e matlzemaXicd conditiom 604 t h e e x h t e n c e 06 p e h i o d i c 6luctuationa i n nonwzi6otcm media. ICASE Report No. 76-15, May 26,, 1976, 2 8 pages. J. Sound Vib., Vol. 48, No. 3, October 1976, pp. 345-357.

George, J. Alan, W . G. Poole , Jr. and R. G. Voigt: A v d a n t 06 n o t e d d&- d e c t i o n 604 b 0 t V i n g n by n g'Lid ptcoblem. ICASE Report No. 76-16, June 1, 1976, 22 pages. SIAM J. Numer. Anal., Vol. 15, No. 4, August 1978, pp. 662-673.

George, J. Alan, W. G. Poole, Jr., and R. G. Voigt: Andy6i .b 06 d i d d e c t i o n dgohithm 604 vectotc c o m p u t e u . ICASE Report No. 76-17, June 8, 1976, 58 pages. Comput. Math. Appl., Vol. 4, 1978, pp. 287-304.

K l e i n s t e i n , G. and M. D. Gunzburget: A p p k k a Z b n a 06 t h e wave numbetc jump c o n u i o n t o t h e notcmal and obfique i n t e t c a c t i o n ad a pXane a c o u s t i c wave and a p l a n e bhoch. ICASE Report No. 76-18, Ju ly 1, 1976, 23 pages. J. Sound Vib., Vol. 53, No. 3, 1977, pp. 417-433.

Turkel , E. : ExttctrpolaXion m e t h o d 6otc dynamic p m t i d d i d 6 e t c e n t i d equa- tiona. ICASE Report No. 76-19, J u l y 6, 1976, 27 pages. Numer. Math., Vol. 29, NO. 3, 1978, pp. 269-285.

R a f f e n e t t i , R. C. , K. Hsu, and I. S h a v i t t : SeleCt.iOn 06 tetcm 60tc a c1 Wave- ~uncXion $0 ptc126etcve p o t e n t i d budace d e d u e h . ICASE Report No. 76-20, J u l y 8, 1976, 2 1 pages. Theore t ica Chimica Acta, Vol. 45, 1977, pp. 33- 44.

Wenzel, A. R.: Ptcopagation 06 bound i n t u b d e n t media. ICASE Report No. -' 76-21 Ju ly l f i , 1976, 9 pages. Advances i n Engineering Sciences, NASA CP-2001, Vol. 3, NASA Hampton, VA, pp. 987-996.

Cl ine , A.: Severrat obdetcvaXiona on t h e use 06 c o n j u g a t e gtcadient m e t h o d . ICASE Report No. 76-22, August 10, 1976, 30 pages.

Boardman, T. : A numoptrace66 otc m c h i t e c - t w r e 6otc d i g i t a l d e v i c e implemen-ta- t i o n . ICASE Ebport No. 76-23, August 12, 1976, 16 pages. Proc. of t he AFIPS 1977 Nat ional Computer Conference, Dallas, TX, June 1977, pp. 201- 205.

Mansf ie ld , L. : Mixed d i n i t e e l e m e n t m e t h o d 6otc e L 4 X p t . L ~ equaZions. ICASE Report No. 76-24 August 18, 1976, 11 pages. Comput. Math. Appl., Vol. 7, 1981, pp. 59-66.

F i x ,

F i x ,

G. J.: A mixed d i n i t e e l e m e n t dcheme dote ttcansonic @xtb. ICASE Report No. 76-25, August 26, 1976, 39 pages. Nmer. Math., Vol. 28, 1977, pp. 259-271.

G. J. and M. D. Gunzburner: on &abt daumeh awwtcoximationa $0 i n - , . d e d i n i t e ptcobtctm ad t h e &xed t y p e . ICASE'Report No. 76-26, August 30, 1976, 39 pages. I n t l . J. Numer. Methods Engrg., Vol. 12 , 1978, pp. 453- 469.

52

Brandt , A,: MLLeZL-level adaptive bolut~om t o boundmy value ptroblem. ICASE Report No. 76-27, August 30, 1976, 102 pages. Math. Comp., Vol. 31, No. 138, A p r i l 1977, pp. 333-390.

T r i v e d i , K.: Pkepaging and appficationA to the STAR-700 computet. ICASE Report No. 76-28, August 30, 1976, 20 pages. High Speed Computer and Algorithm Organiza t ions , (D. Kuck, D. Lawrie, and A. Sameh, eds . ) , Academic P res s , pp. 435-446.

Wenzel, A. R. : A note on the dommd-bcatterr appkoximation. TCASE Report No. 76-29 October 4, 1976, 4 pages. J. Acous. SOC. of h e r . , Vol. 61, No. 3, March 1977, pp. 882-883. -9

G o t t l i e b , D. and E. Turkel : Boundmy cond&ianA dok m d t i - a - t e p ~ivti- te &d- dekence method dok time dependent equationn. ICASE Report No. 76-30, September 13, 1976, 25 pages. J. Comput. Phys., V o l . 26, No. 2, February 1978, pp. 181-196.

Bucy, R., K. Senne, and H. Youssef: P i p e k n e paA&el and ae4iu.t rte&za,tion 06 p h a e dernodueaZou. ICASE Report No. 76-31, November 22, 1976, 67 pages. Proc. of Conference on S t o c h a s t i c Cont ro l , 1976.

Go t t l i eb . D. and S . A. Orszag: Numehied an&qa& 0 4 b p e c t h a method - m i x e d i n i t i a l boundmy v d u e pkoblem. - ICASE 'Report No. 76-32, November 26, 1976, 89 pages. P a r t I of a monograph publ ished by SIAM - CBMS, No. 26.

ICASE &ports: 1975

F i x , G. J.: Finite elements and @ h i d d y n m i c b . ICASE Report NO. 75-1, February 1, 1975, 48 pages. Proc. of t he F i r s t I n t l . Symposium on Compu- t a t i o n a l Methods i n Nonlinear Mechanics, Springer-Verlag Lecture Notes, (T. Oden, ed.), Vol. 461, 1975, pp. 47-70,

Gunzburger, M. D., C, U U , and L. Maes t r e l lo : S i m u t a t i o n by V O k t e X 4 ingb 06 the unnteady p k e s d u h e d i e l d nem a j e t . ICASE Report No. 75-2, February 12, 1975, 7 pages. Progress i n As t ronau t i c s and Aeronaut ics , (I. Schwartz, ed.) , MIT P res s , Vol. 33, 1976, pp. 47-64.

Bas i l i , V. and J. C. Knight: A lhnguage design 6ok vectort machineb. ICASE Report No. 75-3, February 18, 1975, 14 pages. Proc. of t he Conference on Programming Language and Compilers f o r P a r a l l e l and Vector Machines, SIGPLAN Notices , Vol. 10, No. 3, March 1975, pp. 39-43.

R a f f e n e t t i , R. C.: O p t i m a l even-tempeked G w b i a n atomic o t b i t u . t bases : Fiut &ow atom. ICASE Report No. 75-4, February 25, 1975, 12 pages. Proc. of t h e I n t l . Jou rna l of Quantum Chemistry, Symposium No. 9, 1975, pp. 289-295.

53

G o t t l i e b , D. and B. Gustaffson: Gene&&zed DuFo&t-F&anke.t method6 do& p m a b o f i c i n i t i a l - b o u n d m y value p t o b l e m . ICASE Report No. 75-5, February 27, 1975, 32 pages. SIAM J. Numer. Anal., Vol. 13, No. 1, March 1976, pp. 129-144.

Knight, J. C., W. (2. Poole, Jr. and R. G. Voigt: Sybtem balance andqA.i6 do& vecto& compute4A. ICASE Report No. 75-6, March 21, 1975, 25 pages. Proc. of t he ACM National Conference, October 1975, pp. 163-168.

Hardgrave, W. T.: Set p&ocebsing i n a netwokh e n v h o n m e n t . ICASE Report No. 75-7, March 31, 1975, 43 pages. Appeared under the t i t l e Set Ptoce6- b u g : A t o o l . do& d a t a management i n Proc. of t he ACM/NBS 15th Annual Technology Sym.posium, June 1976.

- Hardgrave, W. T. : A c c a b i n g techvtical d a t a b a a u i n g STUS: A c o U e c t i o n 06

b c e n m i o h . ICASE Report No. 75-8, Apr i l 16, 1975, 84 pages. - Crane, H., Jr., N. Gibbs, W. G. Poole , Jr. and P. Stockmeyer: M d t i X band-

width and p&otj-iee & e d u c t i o n . ICASE Report No. 75-9, Apr i l 14, 1975, 19 pages. ACM Trans. Math. Software, Vol. 2, No. 4, December 1976, pp. 375- 377.

H i r s h , R., B. P i t t s , and M. Wolfshtein: Second o&de& non-L&vmtive ADZ 60lu- t i o n 0 4 non&biecur pam%.d d i d d e l r e n t i d Q q U d O n 4 . ICASE Report No. 75- 7 10, May 12, 11975, 7 pages. Advances i n Computer Methods f o r Pa r t i a l D i f f e r e n t i a l Equat ions, (R. Vichnevetsky, ed .) , published by AICA, 1975, pp. 26-32.

Atias, M., M. Wo:Lfshtein, and M. I s r a e l i : E d d i c i e n c y 06 NaVieJL-StOhU b o l v e m . ICASE Report No. 75-11, May 12, 1975, 10 pages. AIAA J., Vol. 15, No. 2, Feb'ruary 1977, pp. 8263-8266.

-

G o t t l i e b , D. and B. Gustaffson: On the Navie&-Stoheb equat ion4 w i t h c o n b t a n t 4kmpelra;tWte. ICASE Report No. 75-12, June 2, 1975, 33 pages.

Stud. Appl . Math., V o l . 5 5 , 1976, pp. 167-185.

Stone, H.: S a & t i n g on STAR. ICASE Report No. 75-13, June 5, 1975, 32 pages. Trans. Software Engrg., Vol. 4, No. 2, March 1978, pp. 138-146.

Cl ine , A.: The t & a n b d o m a t i o n 0 6 a q u a d h a t i c p&og&amming p t o b l e m i n t o 6O~vabte doam. ICASE Report No. 75-14, August 11, 1975, 14 pages.

Gerhar t , S. : On the / r e t a t i o u h i p between bt&uctWted p&og&amming and c04Jiec.t- neb6 ptrood6. ICASE Report 75-15, August 13, 1975, 26 pages. In fo tech I

S t a t e of t h e A r t Report; S t ruc tu red Programming, 1976, pp. 229-242.

Ghi l , M.: I n L t i d i z a t i a n b y c o m p a t i b l e b a t a n c i n g . ICASE Report No. 75-16, August 22, 1975.

B o i s v e r t , R. and W. G. Poole, Jr.: An inte&act.Lve g k a p h i a package do& t h e &omatic node lrenumbetLing 06 e lement mat&ice6. ICASE Report No.

5 4

-' 75-17 September 2 4 , 1975, 10 pages. R o c . o f t h e Appl ica t ions of Computer Graphics i n Engineering Conference, October 1 9 7 5 , pp. 605-614.

Abarbanel, S.: The blow U c i n c d d i n g @OW n e m the UaR s t a g n d i o n poin t 06 a wake. ICASE Report No. 75-18, September 2 9 , 1975, 13 pages.

Turke l , E.: CompobLte method6 504 hypeabofic equdiOn6. ICASE Report No. 75-19 September 2 9 , 1975, 33 pages. SIAM J. Numer. Anal., Vol. 1 4 , No. 4 , September 1 9 7 7 , pp. 744-759. -'

Sherman, S. and R. Br ice : Expe&imentb conce&ng bufjdeh management i n a v d ~ X u d memohy bybtern. ICASE Report No. 75-20, October 6 , 1 9 7 5 , 36 pages. Appeared under t h e t i t l e Petdomance 06 a databuhe manage4 i n a v u u d memoty A y b t e m i n ACM Trans. Database Systems, Vol. 1 , No. 4 , December 1 9 7 6 , pp. 327-343.

Abarbanel, S. and D. Go t t l i eb : A note on .the leap-640g bcheme i n two- and fitlee-dimenbiovlb. ICASE Report No. 75-21, October 3 0 , 1975, 6 pages. J. Comput. Phys., Vol. 21, No. 3, 1976, pp. 351-355.

G o t t l i e b , D. and E. Turkel : DLbbipU..ZZVe € W O - b O U method4 604 thne dependent p toblem. ICASE Report No. 75-22, October 3 0 , 1975, 40 pages. Math. Camp., Vol. 30, No. 1 3 6 , October 1 9 7 6 , pp. 703-723.

Earlier ICASE Reports

Fix , G. J.: Fini te e-tement apptoxhat ion 06 ocean c i 4 c d a t i o n p toblem. SIAM J. Appl. Math., Vol. 2 9 , No. 3, November 1 9 7 5 , pp. 371-387.

Gunzburger, M. D., C. M u , L. Maes t r e l lo , and L. Ting: Sound ptopagation thtough a heal je.t d low d i d d w i t h bcatte&Lng due t o i n t e t a c t i o n w i t h t u b d e n c e . J . Engrg. Math., Vol. 10, No. 6 , J u l y 1976, pp. 47-64.

Lambiotte, J. J., Jr. and R. G. Voigt: The bO&.&iOn 06 tJLidiagonat f i n e m bybtemd on the CVC STAR-700 computet. ACM Trans. Math. Software, Vol. 1, No. 4 , December 1 9 7 5 , pp. 308-329.

Gibbs, N., W. G. Poole , Jr. and P. Stockmeyer: An aLgo&ithm dot &educing the band&i..th and p t o d a e 06 a s p m e m a t 4 . h . SIAM J . Numer. Anal., Vol. 1 3 , No. 2 , Apr i l 1976, pp. 236-250.

George, J. Alan: A n e g d i v e W u k X on bpahse mattLix b p . h t t i f l g i n the context 06 &lUbian &tinination. SIAM J. Numer. Anal., Vol. 1 3 , No. 6 , December 1976, pp. 846-853.

Rosenbaum, J. : Con4etva;tion p t o p e a i e s 06 VIUme&LCd integtration method6 dot bybtemb 06 o td inmy d i 6 ~ e k e n t i a t equ&onb. J . Comput. Phys., Vol. 2 0 , No. 3, March 1976, pp. 259-267.

55

Poole, W. G., Jr. and R. G. Voigt: N W n e d C a dgOlLithmS i o & ptVtd-&?t and vectolr compLCtr2m : An annotated bibfiog&aphy. Comput. Rev., Vol. 15, No 10, October 1'974, pp. 379-388.

Heller, D.: Some abpec.tb 06 the C@C &educUon dgolLithm io& block Wdi- agonut f i n e m bybtem6. SIAM J. Numer. Anal., Vol. 13, No. 4, September 1976, pp. 484-496.

C l i n e , A.: A descent method 604 t h e u n i ~ o m bolut ion 06 ove&dete&mined byb- tem6 06 f i n e i n equaX~0n.b. SIAM J. Numer. Anal., Vol. 13, No. 3, June 1976, pp. 293,-309.

Swint, E. and D. Yen: PelLiodic bOlLLti0n.b i n a & a b 06 nontineak d u d - m a b bybXem6 . Computational Methods i n Nonlinear Mechanics, Un ive r s i ty of Texas, Aust in , TX.

Sherman, S., J. Howard, Jr., and J. C. Browne: Tkace dtLiven btudie-4 06 &ad- l o c k contkot and job b c h e U n g . Springer-Verlag Notes i n Computer Science, Vol. 26, 1975, pp. 386-395.

Hardgrave, W. T: Pobaioned veUU6 heywotrd pmameZe& communication. SIGPLAN Not ices , Vol. 11, No. 5, May 1976.

Poole, W. G., Jr., N, Gibbs, and P. Stockmeyer: A compmdon 06 beve&d band- dMh and p&o&&! &eduction dgolLithm6. ACM Trans. Math. Software, Vol. 2, No. 4, December 1976, pp. 322-330.

Other Reports by ICASE Brsonnel

Bokhari , S., M e Y. Hussa in i , and S. Orszag: Fat o4thogond de)Livativeb on the STAR. Camput. Math. Appl., Vol. 8, No. 5, 1982, pp. 367-377.

S a l a s , M. D. and C:. R. Gumbert: Non-unique b o ~ ~ ~ o n b €0 the t&ansonic poten- t&! d low equ'ation. AIAA Technical Note (NASA).

Bay l i s s , A., L. Maes t r e l lo , and E. Turkel : shnutation 06 t h e @UCtUating 6 i d d 06 a dokced j e t . Lecture Notes i n Physics , No. 170, (E. Krause, ed . ) , S p r i n g e r V e r l a g , 1982, pp. 131-137.

Report Documentation Page 1. Report No. 2. Gowrnment Accesuon No.

NASA CR-181624

Cumulative Report:s and P u b l i c a t i o n s through December 31, 1987

4. T& and Subtitk

7. Authodr)

3. Recipient's Catalog No.

5. Report Date February 1988

6. Performing Organization Code

8. Performing Organization Report No.

10. Work Unit No. 505-90-21-01

9. Performing Organization Nome and Address I n s t i t u t e f o r Computer Appl ica t ions i n Science

Mail Stop 132C, NASA Langley Research Center Hampton , VA 236615-5225

and Engineering; 11. Contract or Grant No.

NAS1-18107, NAS1-17070, NAS 1- 1 7 130, NAS 1- 158 10 , NAS1-16394, NAS1-14101.:

13. Type of Report and Period Covered

12. Sponsoring Agency Name and Address Nat iona l Aeronaut ics and Space Adminis t ra t ion Langley Research Center Hampton, VA 23665-5225

F i n a l Report

Cont rac tor Report

14. Sponsoring Code

16. Abstract This document con ta ins a complete l i s t of ICASE Reports . Since ICASE Reports

a r e in tended t o be p r e p r i n t s of a r t i c l e s t h a t w i l l appear i n j o u r n a l s o r conference proceedings, t h e publ ished r e fe rence i s included when i t is a v a i l a b l e .

17. Key Words (Suggested by Author(sll Ma thema t i c s Numerical Analysis Computer Science

18. Distribution Statement 59 - Mathematical and Computer

Sc iences (Gene t a l )

Unc la s s i f i ed - Unlimited

19. Security Classif. lof this report)

Unclass i f ied Unc las s i f i ed 57 20. Security Classif. (of this page) 21. No. of pages 22. Price

A04