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 Industrial Liason Executive committee Analysis, Discrete Math, Opt&Syst, Num. Analysis, Theor. CS Director of Studies International Advisory Board 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 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