Center for Industrial and Applied Mathematics: Participating Groups

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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
Industry
International Advisory Board
Board
Director (Math) Co-director (CS)
Industrial Liason
Executive committee
Director of Studies
Analysis, Discrete Math, OptSyst, Num.
Analysis, Theor. CS
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, OptSyst, Computer
  Science

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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

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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

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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 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

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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

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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