Ebook: Mathematics in Industrial Problems: Part 4

This is the fourth 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"; that is, at the level of spe­ cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufac­ ture of new or improved products. At the same time, these problems 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 questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap­ ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems 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 third volume, as well as references to papers in which such solutions have been published.

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This book presents industrial problems to mathematicians, including the mathematical formulation of the problems. The first twenty chapters of the book include the industrial background, relevant mathematical literature, a list of open mathematical problems and, in some cases, reference to a solution or a partial solution of the problem. Most of the problems, however, are still open and they are addressed to mathematicians. The last chapter of the book contains reference to solutions of problems presented in the previous volume of Mathematics in Industrial Problems, Part 3 published in the IMA series, as volume 31. The topics of the book include semiconductor devices and processing; particles dynamics; polymer chains and electrophoresis; catalytic converter, robotics and CFD in the automobile industry, superconductivity, magnetic storage devices, signal processing, and experimental design. The book will be of interest to mathematicians seeking to work on mathematical problems which arise in industry. It will also be of interest to mathematicians and scientists who would like to learn about the interaction between mathematics and industry, what type of problems arise, how they are modeled, etc. Scientists working in industry may also be interested in the book as they discover that some of the topics dealt with are connected to their own work.

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This book presents industrial problems to mathematicians, including the mathematical formulation of the problems. The first twenty chapters of the book include the industrial background, relevant mathematical literature, a list of open mathematical problems and, in some cases, reference to a solution or a partial solution of the problem. Most of the problems, however, are still open and they are addressed to mathematicians. The last chapter of the book contains reference to solutions of problems presented in the previous volume of Mathematics in Industrial Problems, Part 3 published in the IMA series, as volume 31. The topics of the book include semiconductor devices and processing; particles dynamics; polymer chains and electrophoresis; catalytic converter, robotics and CFD in the automobile industry, superconductivity, magnetic storage devices, signal processing, and experimental design. The book will be of interest to mathematicians seeking to work on mathematical problems which arise in industry. It will also be of interest to mathematicians and scientists who would like to learn about the interaction between mathematics and industry, what type of problems arise, how they are modeled, etc. Scientists working in industry may also be interested in the book as they discover that some of the topics dealt with are connected to their own work.
Content:
Front Matter....Pages i-xiv
Real-world free boundary problems....Pages 1-17
Terminally attached polymer chains....Pages 18-30
Orientation of colloidal magnetically switchable particles....Pages 31-40
Information, probability and learning from examples....Pages 41-50
An augmented drift-diffusion formulation in semiconductor devices....Pages 51-59
Analytical and heuristic modeling of distributed algorithms....Pages 60-69
Modeling catalytic converter performance....Pages 70-77
A model for titanium suicide film growth....Pages 78-87
A three-state model for gel electrophoresis....Pages 88-100
A limited coalescence problem....Pages 101-107
High field semiconductor equations....Pages 108-118
Structured singular values and invariant theory....Pages 119-128
Signal design with an amplitude constraint....Pages 129-135
Head-disk interface in magnetic storage device....Pages 136-145
Parameter identification in a reaction diffusion model....Pages 146-152
Linear analysis of megastructures....Pages 153-160
Aerodynamic design with cfd....Pages 161-168
Experimental design and quality loss function....Pages 169-176
Numerical simulations for industrial chemical research....Pages 177-185
An adaptive feedforward approach to robot control....Pages 186-193
Back Matter....Pages 196-197
Solutions to problems from part 3....Pages 194-195

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This book presents industrial problems to mathematicians, including the mathematical formulation of the problems. The first twenty chapters of the book include the industrial background, relevant mathematical literature, a list of open mathematical problems and, in some cases, reference to a solution or a partial solution of the problem. Most of the problems, however, are still open and they are addressed to mathematicians. The last chapter of the book contains reference to solutions of problems presented in the previous volume of Mathematics in Industrial Problems, Part 3 published in the IMA series, as volume 31. The topics of the book include semiconductor devices and processing; particles dynamics; polymer chains and electrophoresis; catalytic converter, robotics and CFD in the automobile industry, superconductivity, magnetic storage devices, signal processing, and experimental design. The book will be of interest to mathematicians seeking to work on mathematical problems which arise in industry. It will also be of interest to mathematicians and scientists who would like to learn about the interaction between mathematics and industry, what type of problems arise, how they are modeled, etc. Scientists working in industry may also be interested in the book as they discover that some of the topics dealt with are connected to their own work.
Content:
Front Matter....Pages i-xiv
Real-world free boundary problems....Pages 1-17
Terminally attached polymer chains....Pages 18-30
Orientation of colloidal magnetically switchable particles....Pages 31-40
Information, probability and learning from examples....Pages 41-50
An augmented drift-diffusion formulation in semiconductor devices....Pages 51-59
Analytical and heuristic modeling of distributed algorithms....Pages 60-69
Modeling catalytic converter performance....Pages 70-77
A model for titanium suicide film growth....Pages 78-87
A three-state model for gel electrophoresis....Pages 88-100
A limited coalescence problem....Pages 101-107
High field semiconductor equations....Pages 108-118
Structured singular values and invariant theory....Pages 119-128
Signal design with an amplitude constraint....Pages 129-135
Head-disk interface in magnetic storage device....Pages 136-145
Parameter identification in a reaction diffusion model....Pages 146-152
Linear analysis of megastructures....Pages 153-160
Aerodynamic design with cfd....Pages 161-168
Experimental design and quality loss function....Pages 169-176
Numerical simulations for industrial chemical research....Pages 177-185
An adaptive feedforward approach to robot control....Pages 186-193
Back Matter....Pages 196-197
Solutions to problems from part 3....Pages 194-195
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