calculating bessel function zeroes and laplace operator eigenvalues

1

Calculating Bessel Function Zeroes and Laplace Operator Eigenvalues Bessel Functions and Their Application to the Eigenvalues of the Laplace Operator Matthew Jin Department of Mathematics, Dartmouth College, Hanover, NH 03755, USA Computing Bessel Functions How High to Start? Bessel Function Zeroes as Eigenvalues of the Laplace Operator Eigenfunction: n=8 m=5 Eigenfunction: n=3 m=2

Upload: zahir-irwin

Post on 31-Dec-2015

25 views

Category:

Documents

1 download

Report

Download

Tags:

Embed Size (px):

DESCRIPTION

Bessel Functions and Their Application to the Eigenvalues of the Laplace Operator Matthew Jin Department of Mathematics, Dartmouth College, Hanover, NH 03755, USA. Computing Bessel Functions. Calculating Bessel Function Zeroes and Laplace Operator Eigenvalues. How High to Start?. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Calculating Bessel Function Zeroes and Laplace Operator Eigenvalues

Calculating Bessel Function Zeroes and Laplace Operator Eigenvalues

Bessel Functions and Their Application to the Eigenvalues of the Laplace Operator

Matthew JinDepartment of Mathematics, Dartmouth College,

Hanover, NH 03755, USA

Computing Bessel Functions

How High to Start?

Bessel Function Zeroes as Eigenvalues of the Laplace Operator

Eigenfunction: n=8 m=5

Eigenfunction: n=3 m=2

Transient Solved Bessel Function

Presentation Zeroes in on Successful CIN

Heroes or zeroes?

Laguerre Bessel

Zeroes and roots

Eigenvalues - Contd

Bessel & Hankel Functions

Application of Bessel Function

Zeroes (Extract)

Intertwinings of Bessel Processes

Bessel Functions

Propagation of obstructed Bessel and Bessel–Gauss beams

Matrix Calculations: Eigenvalues and Eigenvectors … · Eigenvalues and Eigenvectors Applications of Eigenvalues and Eigenvectors Radboud University Nijmegen Finding eigenvectors

Heresy in Ones and Zeroes

Intro Bessel Bk Nov08

The circular aperturedmw/phy218/Lectures/Lect_72p.pdf · 8.654 7.016 8.417 11.792 10.174 11.620 14.931 13.324 14.796 Zeroes of the Bessel functions 2 April 2004 Physics 218, Spring

Subtraction Across Zeroes

7.4 Applications of Eigenvalues and Eigenvectorshomepage.ntu.edu.tw/~jryanwang/courses/Mathematics for...372 Chapter 7 Eigenvalues and Eigenvectors 7.4 Applications of Eigenvalues

Bessel EQUATIONS

Chapter 7 Bessel Functions

Fourier-Bessel Analysis of Cyllindrically Symmetric ... · other members of professor Gauthier’s group using Bessel-Legendre-Fourier technique [8]. By using a Fourier-Bessel set

Tables of Bessel Transforms

Lecture23 Eigenvalues

Bessel Function

Lec4 SpFn Bessel

Quantifying the Bessel Beam

Bessel Function (1)

Digital generation of shape-invariant Bessel-like beams · Digital generation of shape-invariant Bessel-like ... Bowman, N. Muller, ... Introduction Bessel beams (BBs)

Bessel functionsoffractionalorder1

EIGENVALUES AND EXPANDERS N. ALON - tau.ac.ilnogaa/PDFS/Publications2/Eigenvalues... · EIGENVALUES AND EXPANDERS 85 this relationship implies a similar one between eigenvalues and

Metal Gear Solid V / Ground Zeroes