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 Industry International Advisory Board Board Director (Math) Co-director (CS) Industrial Liason Executive committee Director of Studies Analysis, Discrete Math, Opt&Syst, Num. Analysis, Theor. CS 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 of importance 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

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 manufacturing • Motivation: 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. Data track Read/Write head 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

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