Mathematics in Industrial Problems

1. Front Matter

   Pages i-xvi

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2. Mass flow sensing with heat waves

   • Avner Friedman

   Pages 1-11

3. Mass transport in colloidal dispersions

   • Avner Friedman

   Pages 12-22

4. Crack propagation modeling

   • Avner Friedman

   Pages 23-32

5. Modeling of electrostatic bell sprayers

   • Avner Friedman

   Pages 33-40

6. Neural networks as controllers

   • Avner Friedman

   Pages 41-52

7. Head-media interaction in magnetic recording

   • Avner Friedman

   Pages 53-61

8. Geometric path planning in rapid prototyping

   • Avner Friedman

   Pages 62-74

9. Feature detection and tracking in three dimensional image analysis

   • Avner Friedman

   Pages 75-85

10. Robot localization using landmarks

    • Avner Friedman

    Pages 86-94

11. Coordinates for mechanisms configuration spaces

    • Avner Friedman

    Pages 95-107

12. Pulse optimization for multi-user data communications

    • Avner Friedman

    Pages 108-119

13. Propagation of highly scattered radiation in tissue

    • Avner Friedman

    Pages 120-129

14. Doping profiling by inverse device methods

    • Avner Friedman

    Pages 130-146

15. Mathematical modeling in diffractive optics

    • Avner Friedman

    Pages 147-165

16. Coping with complex boundaries

    • Avner Friedman, Jack F. Douglas

    Pages 166-185

17. A short random walk through polymer material behavior

    • Avner Friedman

    Pages 186-197

18. Finite set statistics with applications to data fusion

    • Avner Friedman

    Pages 198-206

19. Electromigration modeling for smart power applications

    • Avner Friedman

    Pages 207-217

20. Maxwell’s equations and the analysis of electromagnetic devices

    • Avner Friedman

    Pages 218-228

This is the seventh volume in the series "Mathematics in Industrial Prob­ lems. " The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots level;" that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob­ lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subse­ quent discussions. Each chapter is devoted to one of the talks and is self­ contained. The chapters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in previous volumes, as well as references to papers in which such solutions have been published. The speakers in the Seminar on Industrial Problems have given us at the IMA hours of delight and discovery. My thanks to David K. Lambert (Gen­ eral Motors Research and Development), David S.

• Maxwell's equations
• Polymer
• Rapid Prototyping
• communication
• dynamische Systeme
• image analysis
• ion transport
• kinematics
• kinetics
• mathematical modeling
• model
• modeling
• optimization
• statistics

• Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, USA

  Avner Friedman

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