1 / 17

Center for Industrial and Applied Mathematics: Participating Groups

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)

rexbeard
Download Presentation

Center for Industrial and Applied Mathematics: Participating Groups

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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

More Related