center for industrial and applied mathematics: participating groups

1

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

2

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

3

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

4

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

5

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.

6

Computational electromagnetics

Motivation: the wireless revolution in industry

• Antenna design• Electromagnetic compatibility • Photonics

Industrial cooperation (example)• Ericsson, Saab

Planned internal collaboration• Numerical analysis - Optimization

7

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

8

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

9

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

10

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

11

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

12

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

13

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

14

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

15

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

16

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

17

An example of the power of mathematics: solving systems of equations