Ebook: Mathematics in Industrial Problems: Part 6

This is the sixth 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 Thomas Hoffend (3M), John Spence (Eastman Kodak Company), Marius Orlowski (Mo­ torola, Inc. ), Robert J.

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This is the sixth volume in Avner Friedman's collection of Mathematics in Industrial Problems. These books aim to foster interaction between industry and mathematics at the "grass root" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Eastman Kodak Company, Ford Motor Company, 3M, General Motors, Paramax, IBM/T.J. Watson Research Center, Xerox Corporation/Webster Research Center, Cray Research Inc., and Motorola. The topics explored in this volume include magnetization in recording media; effective medium theory for color, particle simulation in xerography; amorphous semiconductors, small device semiconductor, and smart power device; dopant diffusion in network; reaction-diffusion and dissolution of crystals in solution; permeation through flawed surfaces; statistical quality control; glassy polymers; wettability for heterogeneous surfaces; electrorheological fluids; remote sensing and data fusion; micromechanical structures, and sensors. Open problems and references to mathematical literature are incorporated into many chapters. The final chapter contains solutions to problems raised in parts of the preceding volumes of Mathematics in Industrial Problems, published in the IMA Volumes in Mathematics and its Applica§ tions Series.

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This is the sixth volume in Avner Friedman's collection of Mathematics in Industrial Problems. These books aim to foster interaction between industry and mathematics at the "grass root" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Eastman Kodak Company, Ford Motor Company, 3M, General Motors, Paramax, IBM/T.J. Watson Research Center, Xerox Corporation/Webster Research Center, Cray Research Inc., and Motorola. The topics explored in this volume include magnetization in recording media; effective medium theory for color, particle simulation in xerography; amorphous semiconductors, small device semiconductor, and smart power device; dopant diffusion in network; reaction-diffusion and dissolution of crystals in solution; permeation through flawed surfaces; statistical quality control; glassy polymers; wettability for heterogeneous surfaces; electrorheological fluids; remote sensing and data fusion; micromechanical structures, and sensors. Open problems and references to mathematical literature are incorporated into many chapters. The final chapter contains solutions to problems raised in parts of the preceding volumes of Mathematics in Industrial Problems, published in the IMA Volumes in Mathematics and its Applica§ tions Series.
Content:
Front Matter....Pages i-xvi
Magnetization reversal in particulate recording media....Pages 1-10
Variable forgetting factors in Kalman filtering....Pages 11-20
Modeling of dopant diffusion networks....Pages 21-35
Statistical optics and effective medium theories of color....Pages 36-51
Amorphous and polysilicon devices....Pages 52-60
Modeling the performance of a piezoelectric gyroscope....Pages 61-70
Particle simulations for xerographic development....Pages 71-81
A statistical dynamic theory of glassy polymers....Pages 82-91
Simulation of magnetic recording and playback processes....Pages 92-98
Sunglitter in oceanic remote detection....Pages 99-111
Computer simulations of electrorheological fluids....Pages 112-124
Local flaws in permeation reducing barrier layers....Pages 125-134
Iterative solution methods on the Cray YMP/C90....Pages 135-139
Track reconstruction and data fusion....Pages 140-148
Approximation to Boltzmann transport in semiconductor devices....Pages 149-155
Systematic data fusion using the theory of random conditional sets....Pages 156-165
Micromagnetic simulation....Pages 166-176
Dissolution kinetics with feedback....Pages 177-184
Wetting and adsorption at chemically heterogeneous surfaces....Pages 185-197
Fluid and kinetic modeling for micromechanical structures....Pages 198-204
Modeling exhaust-gas oxygen sensors....Pages 205-213
3D modeling of a smart power device....Pages 214-224
Solutions to problems from previous parts....Pages 225-227
Back Matter....Pages 228-229

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This is the sixth volume in Avner Friedman's collection of Mathematics in Industrial Problems. These books aim to foster interaction between industry and mathematics at the "grass root" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Eastman Kodak Company, Ford Motor Company, 3M, General Motors, Paramax, IBM/T.J. Watson Research Center, Xerox Corporation/Webster Research Center, Cray Research Inc., and Motorola. The topics explored in this volume include magnetization in recording media; effective medium theory for color, particle simulation in xerography; amorphous semiconductors, small device semiconductor, and smart power device; dopant diffusion in network; reaction-diffusion and dissolution of crystals in solution; permeation through flawed surfaces; statistical quality control; glassy polymers; wettability for heterogeneous surfaces; electrorheological fluids; remote sensing and data fusion; micromechanical structures, and sensors. Open problems and references to mathematical literature are incorporated into many chapters. The final chapter contains solutions to problems raised in parts of the preceding volumes of Mathematics in Industrial Problems, published in the IMA Volumes in Mathematics and its Applica§ tions Series.
Content:
Front Matter....Pages i-xvi
Magnetization reversal in particulate recording media....Pages 1-10
Variable forgetting factors in Kalman filtering....Pages 11-20
Modeling of dopant diffusion networks....Pages 21-35
Statistical optics and effective medium theories of color....Pages 36-51
Amorphous and polysilicon devices....Pages 52-60
Modeling the performance of a piezoelectric gyroscope....Pages 61-70
Particle simulations for xerographic development....Pages 71-81
A statistical dynamic theory of glassy polymers....Pages 82-91
Simulation of magnetic recording and playback processes....Pages 92-98
Sunglitter in oceanic remote detection....Pages 99-111
Computer simulations of electrorheological fluids....Pages 112-124
Local flaws in permeation reducing barrier layers....Pages 125-134
Iterative solution methods on the Cray YMP/C90....Pages 135-139
Track reconstruction and data fusion....Pages 140-148
Approximation to Boltzmann transport in semiconductor devices....Pages 149-155
Systematic data fusion using the theory of random conditional sets....Pages 156-165
Micromagnetic simulation....Pages 166-176
Dissolution kinetics with feedback....Pages 177-184
Wetting and adsorption at chemically heterogeneous surfaces....Pages 185-197
Fluid and kinetic modeling for micromechanical structures....Pages 198-204
Modeling exhaust-gas oxygen sensors....Pages 205-213
3D modeling of a smart power device....Pages 214-224
Solutions to problems from previous parts....Pages 225-227
Back Matter....Pages 228-229
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