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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 a...

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Bibliographic Details
Main Author: Friedman, Avner
Format: eBook
Language:English
Published: New York, NY Springer New York 1991, 1991
Edition:1st ed. 1991
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Computational Intelligence
Mathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • 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
  • 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 Mathematicalissues
  • 20.5 References
  • 21 Solutions to problems from part 3
  • 21.1 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

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