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Mathematics in Industrial Problems : Part 6

Author: Avner Friedman
Publisher: New York, NY : Springer New York, 1994.
Series: IMA volumes in mathematics and its applications, 57.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Avner Friedman
ISBN: 9781461383833 1461383838
OCLC Number: 852792957
Description: 1 online resource (xvi, 229 pages 104 illustrations).
Contents: 1 Magnetization reversal in particulate recording media.- 1.1 The physical system.- 1.2 The model.- 1.3 Results and open problems.- 1.4 References.- 2 Variable forgetting factors in Kalman filtering.- 2.1 The dynamic Kalman filtering.- 2.2 Variable forgetting factor.- 2.3 Modification of VFF.- 2.4 Applications.- 2.5 References.- 3 Modeling of dopant diffusion networks.- 3.1 Diffusion on networks.- 3.2 Random walks.- 3.3 Effects of grains' boundaries.- 3.4 Solution of Problems.- 3.5 References.- 4 Statistical optics and effective medium theories of color.- 4.1 Color.- 4.2 Calculating reflectivity.- 4.3 Effective medium theory (EMT).- 4.4 Mathematical problems.- 4.5 References.- 5 Amorphous and polysilicon devices.- 5.1 Amorphous semiconductors.- 5.2 A mathematical model.- 5.3 Numerical results.- 5.4 Open problems and partial solution.- 5.5 References.- 6 Modeling the performance of a piezoelectric gyroscope.- 6.1 Vibrating gyroscope.- 6.2 Linear elasticity.- 6.3 Rotating disk.- 6.4 Rotating piezoelectric disk.- 6.5 Approximate solution.- 6.6 References.- 7 Particle simulations for xerographic development.- 7.1 The model.- 7.2 More on the particle motion.- 7.3 Open problems.- 7.4 References.- 8 A statistical dynamic theory of glassy polymers.- 8.1 Glassy state.- 8.2 Viscoelastic relaxation.- 8.3 Strain-stress behavior.- 8.4 Composite modulus.- 8.5 Open problems.- 8.6 References.- 9 Simulation of magnetic recording and playback processes.- 9.1 Magnetic tape and the recording process.- 9.2 Model of the record process.- 9.3 Record model implementation.- 9.4 The playback process.- 9.5 Open issues.- 9.6 References.- 10 Sunglitter in oceanic remote detection.- 10.1 Background noise.- 10.2 Signal processing.- 10.3 The model.- 10.4 Model/data comparison.- 11 Computer simulations of electrorheological fluids.- 11.1 Modeling ER fluids.- 11.2 Bulk polarization model.- 11.3 Numerical results.- 11.4 Optical probing.- 11.5 Areas for future work.- 11.6 References.- 12 Local flaws in permeation reducing barrier layers.- 12.1 Fluorinated fuel tanks.- 12.2 Mathematical model.- 12.3 Results for circular holes.- 12.4 Open problems.- 12.5 Partial results.- 12.6 References.- 13 Iterative solution methods on the Cray YMP/C90.- 13.1 Iterative schemes.- 13.2 Preconditioning strategies.- 13.3 Computational results.- 13.4 References.- 14 Track reconstruction and data fusion.- 14.1 Data fusion.- 14.2 Data sources and model selection.- 14.3 Extended Kalman filter and smoothing.- 14.4 References.- 15 Approximation to Boltzmann transport in semiconductor devices.- 15.1 The Boltzmann transport equation.- 15.2 Approximation to B.T.E..- 15.3 The f0-equation.- 15.4 References.- 16 Systematic data fusion using the theory of random conditional sets.- 16.1 Data fusion algorithms.- 16.2 Bayesian classification.- 16.3 The Dempster-Shafer approach.- 16.4 Fuzzy logic.- 16.5 Random sets.- 16.6 Conditional set theory.- 16.7 References.- 17 Micromagnetic simulation.- 17.1 The magnetic head.- 17.2 The magnetic energy in film.- 17.3 The pole tip.- 17.4 Swirl points.- 17.5 References.- 18 Dissolution kinetics with feedback.- 18.1 The model.- 18.2 Fast kinetic limit.- 18.3 Numerical solution.- 18.4 Remarks.- 18.5 References.- 19 Wetting and adsorption at chemically heterogeneous surfaces.- 19.1 Wettability.- 19.2 Wettability on self-assembled monolayers.- 19.3 Mathematical model.- 19.4 References.- 20 Fluid and kinetic modeling for micromechanical structures.- 20.1 Modeling micromechanical structures.- 20.2 Fluid description.- 20.3 Accelerometer.- 20.4 References.- 21 Modeling exhaust-gas oxygen sensors.- 21.1 The sensor.- 21.2 Mathematical model.- 21.3 Open problems.- 21.4 References.- 22 3D modeling of a smart power device.- 22.1 The device.- 22.2 Thermal modeling.- 22.3 Solution to problem (1).- 23 Solutions to problems from previous parts.- 23.1 Part 1.- 23.2 Part 3.- 23.3 Part 5.- 23.4 References.
Series Title: IMA volumes in mathematics and its applications, 57.
Responsibility: by Avner Friedman.

Abstract:

Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The chapters usually provide references to the mathematical literature and a list of open  Read more...

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