center for industrial and applied mathematics: participating groups
DESCRIPTION
Center for Industrial and Applied Mathematics: Participating Groups. Core Analysis (Michael Benedicks) Discrete Math. and Combinatorics (Anders Björner) Numerical Analysis (Björn Engquist) Optimization and Systems Theory (Anders Lindquist) Theoretical Computer Science (Johan Håstad) - PowerPoint PPT PresentationTRANSCRIPT
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Center for Industrial and Applied Mathematics: Participating Groups
Core• Analysis (Michael Benedicks)• Discrete Math. and Combinatorics (Anders Björner)• Numerical Analysis (Björn Engquist)• Optimization and Systems Theory (Anders Lindquist)• Theoretical Computer Science (Johan Håstad)
Collaborators• KCSE, Institut Mittag-Leffler, SU Mathematics,
other departments at KTH
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Why a center in mathematics?
Mathematics is the fundamental language of science and engineering. When mathematics is engaged in current applications we will have:
• An improved education in mathematics that is more relevant for applications
• Mathematical advances more rapidly translated into practical methods and innovations
• Applied problems influencing mathematical research and development
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Why us?
• Strong competence in a wide area of pure and applied mathematics
• There is presently no center in Sweden with this scope
• Establishes new synergies • Excellent environment for graduate students• Educational edge: Exposure of large population
of students to industrial problems• Filling the gap between mathematics and industrial
applications
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Management Structure
Board
Director (Math)Co-director (CS)
Industry
IndustrialLiason
Executivecommittee
Analysis, Discrete Math, Opt&Syst, Num. Analysis, Theor. CS
Director of Studies
InternationalAdvisoryBoard
Student advisory committees
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Activities
• Applications-driven research programs• PhD and postdoctoral programs in Industrial and
Applied Mathematics • Colloquium and workshop series in co-operation with
industry• Industrial Math Clinic• International Masters Program in Industrial and Applied
Mathematics• Creating and maintaining networks with industrial
partners
Next we present a number of examples of projects where synergy can make a difference.
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Computational electromagnetics
Motivation: the wireless revolution in industry
• Antenna design• Electromagnetic compatibility • Photonics
Industrial cooperation (example)• Ericsson, Saab
Planned internal collaboration• Numerical analysis - Optimization
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Video compression
Motivation: Transmit video with a small bandwidth
• Wavelets instead of pixels• Surveillance, security• Coding and cryptography
Industrial cooperation• Ericsson, Open Wave, security companies
Planned internal collaboration• Analysis, Discrete Math, Opt&Syst, Computer Science
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Modeling in material science
Motivation: modeling based on first principles ofimportance for material design
• Molecular dynamics• Welding process• Sintering of metal powder
Industrial cooperation• Höganäs, Sandvik
Planned internal collaboration• Dynamical systems, numerical analysis, partial
differential equations
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Advanced gear control for construction equipment
Motivation: Better fuel efficiency and optimal gear shifting
• Requires more gears • Advanced traction control • Tribilogy and wet clutches
Industrial cooperation• Volvo Construction Equipment
Planned internal collaboration• Optimization, Systems Theory, PDE, Combinatorics
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Simulation in life sciences
Motivation: drug design
• Diffusion in biological tissue• Metabolism in cells
Industrial cooperation• Biovitrum
Planned internal collaboration• Numerical Analys, Mathematical Statistics
2 .1 3
C 6 : S= 0 .6 3
C 5 : S= -.2 5
S= 0 .4 81 .4 3
1 .4 11 .4 9
S= - .1 4
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Optimization of radiation therapy
Motivation: Optimization of quality of treatment
• Minimize radiation on healthy tissue• Large scale inverse problem• Biological modeling
Industrial cooperation• RaySearch Laboratories
Planned internal collaboration• Optimization, Analysis, Partial Differential Equations
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Advanced modeling, optimization and control for paper manufacturingMotivation: Better profitability and less impact on the environment• Optimimal utilization of raw materials• Minimization of waste • Minimization of energy use
Industrial cooperation• AssiDomän Carton Board AB, Frövi
Planned internal collaboration• Optimization & Systems Theory, Numerical Analysis
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Frequency assignment in communication networks
Motivation: Avoid problems with interference
• What is the least number of frequencies needed?• List coloring problem for networks• Evaluation of algorithms
Industrial cooperation• Mobile telephone operators
Planned internal collaboration• Discrete Mathematics, Computer Science, Optimization
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Robust track-following control in next-generation hard disc drives
Motivation: Increase storage capacity
• Allowing narrower tracks• Add micro-actuators and extra sensors• Windage (air resistance)
Industrial cooperation• Open
Planned internal collaboration (example)• Optimization & Systems Theory, Numerical Analysis
Data track
Read/Write head
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Telecommunication optimization
Motivation: Optimal capacity of transport networks
• Power modulation in wireless networks• Fairness between users• Differentiated planning levels
Industrial cooperation• Ericsson
Planned internal collaboration• Optimization, Combinatorics, Computer Science
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Encryption
From being the trade of spies and diplomats this has moved to a mathematical dicipline.
• Rigorous proofs of security• Constructions based on
sophisticated mathematics
Industrial cooperation• Ericsson, banking, telecom, internet
Planned internal collaboration:• Combinatorics• Computer Science• Systems Theory
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An example of the power of mathematics: solving systems of equations