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＜電子ブック＞
Mathematics in Industrial Problems : Part 1 / by Avner Friedman
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 16)

版	1st ed. 1988.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1988
本文言語	英語
大きさ	X, 174 p : online resource
著者標目	*Friedman, Avner author SpringerLink (Online service)
件　名	LCSH:Chemometrics LCSH:Computational intelligence FREE:Mathematical Applications in Chemistry FREE:Computational Intelligence
一般注記	1 Scattering by Stripe Grating -- 1.1 The Physical Problem -- 1.2 Relation to the Time-dependent Problem -- 1.3 Form of Solutions for /z/ > d -- 1.4 Form of Solutions Inside the Slab -- 1.5 Boundary Matching of Solutions -- 1.6 Remarks and References -- 1.7 Mathematical Issues -- 1.8 Partial Solution to Problem (3) -- 2 Packing Problems in Data Communications -- 2.1 Motivation and Problem Statement -- 2.2 p = q = ? -- 2.3 The Case p = q = 2 -- 2.4 Solution to the Spread Problem -- 2.5 References -- 3 Unresolved Mathematical Issues in Coating Flow Mechanics -- 3.1 Curtain Coating. -- 3.2 Known Mathematical Results -- 3.3 Simplified Models -- 3.4 Future Directions -- 3.5 References -- 4 Conservation Laws in Crystal Precipitation -- 4.1 Particles in Photographic Emulsions -- 4.2 A Simple Model of Tavare -- 4.3 A More Realistic Model -- 4.4 Solution to Problems (1), (2) -- 5 A Close Encounter Problem of Random Walk in Polymer Physics -- 6 Mathematical Models for Manufacturable Josephson Junction Circuitry -- 7 Image Reconstruction in Oil Refinery -- 7.1 The Problem -- 7.2 Suggested Method -- 8 Asymptotic Methods in Semiconductor Device Modeling -- 8.1 The MOSFET -- 8.2 The PNPN Problem -- 8.3 Solution of Problem 1 -- 8.4 References -- 9 Some Fluid Mechanics Problems in U.K. Industry -- 9.1 Interior Flows in Cooled Turbine Blades -- 9.2 Fiber Optic Tapering -- 9.3 Ship Slamming -- 9.4 References -- 10 High Resolution Sonar Waveform Synthesis -- 10.1 References -- 11 Synergy in Parallel Algorithms -- 11.1 General framework -- 11.2 Gauss-Seidel -- 11.3 The Heat Equation -- 11.4 Open Questions -- 11.5 References -- 12 A Conservation Law Model for Ion Etching for Semiconductor Fabrication -- 12.1 Etching of a Material Surface -- 12.2 Etching in Semiconductor Device Fabrication -- 12.3 Open Problems -- 12.4 References -- 13 PhaseChange Problems with Void -- 13.1 The Problem -- 13.2 The Void Problem in 1-Dimension -- 13.3 A Scheme to Solve the Void Problem -- 13.4 References -- 14 Combinatorial Problems Arising in Network Optimization -- 14.1 General Concepts -- 14.2 Diameter Estimation -- 14.3 Reducing the Diameter -- 14.4 Expander Graphs -- 14.5 Reliability -- 14.6 References -- 15 Dynamic Inversion and Control of Nonlinear Systems -- 15.1 Linear Systems -- 15.2 Nonlinear Systems -- 15.3 References -- 16 The Stability of Rapid Stretching Plastic Jets -- 16.1 Introduction -- 16.2 The Free Boundary Problem -- 16.3 Stability Analysis -- 16.4 Open Problems -- 16.5 References -- 17 A Selection of Applied Mathematics Problems -- 17.1 Path Generation for Robot Cart -- 17.2 Semiconductor Problems -- 17.3 Queuing Networks -- 17.4 References -- 18 The Mathematical Treatment of Cavitation in Elastohydro-dynamic Lubrication -- 18.1 The Model -- 18.2 Roller Bearing -- 18.3 Open Problems -- 18.4 Partial Solutions -- 18.5 References -- 19 Some Problems Associated with Secure Information Flows in Computer Systems -- 19.1 Threats and Methods of Response -- 19.2 More General Policies -- 19.3 References -- 20 The Smallest Scale for Incompressible Navier-Stokes Equations -- 20.1 References -- 21 Fundamental Limits to Digital Syncronization -- 21.1 The Barker Code -- 21.2 Complex Barker Sequences -- 21.3 References -- 22 Applications and Modeling of Diffractive Optics -- 22.1 Introduction to Diffractive Optics -- 22.2 Practical Applications -- 22.3 Mathematical Modeling -- 22.4 References Building a bridge between mathematicians and industry is both a chal­ lenging task and a valuable goal for the Institute for Mathematics and its Applications (IMA). The rationale for the existence of the IMA is to en­ courage interaction between mathematicians and scientists who use math­ ematics. Some of this interaction should evolve around industrial problems which mathematicians may be able to solve in "real time." Both Industry and Mathematics benefit: Industry, by increase of mathematical knowledge and ideas brought to bear upon their concerns, and Mathematics, through the infusion of exciting new problems. In the past ten months I have visited numerous industries and national laboratories, and met with several hundred scientists to discuss mathe­ matical questions which arise in specific industrial problems. Many of the problems have special features which existing mathematical theories do not encompass; such problems may open new directions for research. However, I have encountered a substantial number of problems to which mathemati­ cians should be able to contribute by providing either rigorous proofs or formal arguments. The majority of scientists with whom I met were engineers, physicists, chemists, applied mathematicians and computer scientists. I have found them eager to share their problems with the mathematical community. Often their only recourse with a problem is to "put it on the computer." However, further insight could be gained by mathematical analysis HTTP:URL=https://doi.org/10.1007/978-1-4615-7399-9

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