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Mathematics in Industrial Problems : Part 4 / by Avner Friedman
(The IMA Volumes in Mathematics and its Applications ; 38)

データ種別 電子ブック
出版者 New York, NY : Springer New York
出版年 1991
本文言語 英語
大きさ XIV, 197 p : online resource

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URL 電子ブック


EB0074667

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内容注記 1 Real-world free boundary problems
1.1 Hypersonic flow
1.2 Problems with free boundaries close to fixed boundaries
1.3 Free boundary problems in superconductors
1.4 Elastic contact
1.5 Partial solution
1.6 References
2 Terminally attached polymer chains
2.1 Experiments and the MWC model
2.2 The SCF theory
2.3 Numerical results
2.4 Mathematical problems
2.5 References
3 Orientation of colloidal magnetically switchable particles
3.1 Ferrohydrodynamics
3.2 A statistical mechanics approach
3.3 References
4 Information, probability and learning from examples
4.1 Learning from examples
4.2 Simple geometric examples
4.3 The Vapnik and Chervonenkis theory
4.4 References
5 An augmented drift-diffusion formulation in semiconductor devices
5.1 Semiconductor device modeling
5.2 The augmented drift-diffusion model
5.3 Mathematical issues
5.4 Partial solution
5.5 References
6 Analytical and heuristic modeling of distributed algorithms
6.1 Examples and terminology
6.2 Analytic results
6.3 Markov mode for search tree
6.4 Search with multiprocessor
6.5 References
7 Modeling catalytic converter performance
7.1 Chemical reactions
7.2 The differential equations
7.3 Numerical approach
7.4 Control problems
7.5 References
8 A model for titanium silicide film growth
8.1 Description of the process
8.2 A model with interfaces
8.3 A two-dimensional model
8.4 References
9 A three-state model for gel electrophoresis
9.1 Polymer reptation and the repton model
9.2 A biased repton model
9.3 Mapping into a discrete pseudospin model
9.4 Mean field approximation
9.5 Open problems
9.6 References
10 A limited coalescence problem
10.1 The model
10.2 Asymptotic distribution
10.3 The Monte Carlo method
10.4 Mathematical results
10.5 References
11 High field semiconductor equations
11.1 Motivation
11.2 Scaling
11.3 Moderate force
11.4 Strong force
11.5 The semiconductor case
11.6 Open problems
11.7 References
12 Structured singular values and invariant theory
12.1 FDLTI systems
12.2 Feedback under parametric uncertainty
12.3 Structured singular value
12.4 A new approach
12.5 Open problems
12.6 References
13 Signal design with an amplitude constraint
13.1 Lp/Lq signal design
13.2 Necessary optimality condition
13.3 The fixed-point problem
13.4 Open problems
13.5 References
14 Head-disk interface in magnetic storage device
14.1 Modified Reynolds equation
14.2 Free molecular flow
14.3 The limiting process as h?0
14.4 References
15 Parameter identification in a reaction diffusion model
15.1 The direct problem
15.2 The inverse problem
15.3 Modification of the model
15.4 A related problem
15.5 Existence and uniqueness
15.6 References
16 Linear analysis of megastructures
16.1 The three bar truss
16.2 The hypercircle method
16.3 References
17 Aerodynamic design with cfd
17.1 Vehicle drag
17.2 Governing equations
17.3 Simplifications
17.4 Research areas
17.5 References
18 Experimental design and quality loss function
18.1 Experimental design
18.2 Motivation
18.3 Sampling
18.4 The quality loss function
18.5 References
19 Numerical simulations for industrial chemical research
19.1 Computational approach to chemical research
19.2 Theoretical concepts
19.3 Requirements for atomistic computations
19.4 References
20 An adaptive feedforward approach to robot control
20.1 Mathematical model
20.2 Nonlinear feedforward
20.3 Path planning
20.4 Mathematical issues
20.5 References
21 Solutions to problems from part 3
21.1 References
一般注記 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
著者標目 *Friedman, Avner author
SpringerLink (Online service)
件　名 LCSH:Engineering
LCSH:Mathematics
LCSH:Computational intelligence
FREE:Engineering
FREE:Computational Intelligence
FREE:Mathematics, general
分　類 DC23:006.3
巻冊次 ISBN:9781461391777 REFWLINK
ISBN 9781461391777
URL http://dx.doi.org/10.1007/978-1-4613-9177-7
目次／あらすじ

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