Mathematics in Industrial Problems

1. Front Matter

   Pages i-x

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2. Dealing with geometric Variations in manufacturing

   • Avner Friedman

   Pages 1-9

3. Interdisciplinary computational fluid dynamics

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   Pages 10-17

4. A mathematical model of a crystallizer

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   Pages 18-28

5. Randomized algorithms in industrial problems

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   Pages 29-36

6. Global geodesic coordinates on a G0 continuous surface

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   Pages 37-47

7. Micromechanics effects in creep metal-matrix composites

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   Pages 48-55

8. Seismic inversion for geophysical prospecting

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   Pages 56-65

9. Simulations for etch/deposition profile evolution

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   Pages 66-76

10. Analysis of cellular mobile radio

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    Pages 77-88

11. A pseudo non-time-splitting scheme in air quality modeling

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    Pages 89-93

12. Fluid flow in a porous medium

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    Pages 94-105

13. Robots, mechanisms and polynomial continuation

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    Pages 106-115

14. Failure times in metal lines

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    Pages 116-125

15. Surface modeling: impacts of design and manufacturing

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    Pages 126-134

16. Chemical filtration modeling

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    Pages 135-143

17. The element-free Galerkin method in large deformations

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    Pages 144-153

18. Aeroacoustic research in the automotive industry

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    Pages 154-168

19. Synchronization for chaotic dynamical systems

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    Pages 169-177

20. Solutions to problems from part 7

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    Pages 178-182

This is the eighth 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 subsequent 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 that are of interest to 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 the previous volume, as well as references to papers in which such solutions have been published.

• crystal
• digital elevation model
• dynamical systems
• dynamics
• mathematics
• modeling

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

  Avner Friedman

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