Author | Friedman, Avner. author |
---|---|
Title | Mathematics in Industrial Problems [electronic resource] : Part 3 / by Avner Friedman |
Imprint | New York, NY : Springer New York, 1990 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9098-5 |
Descript | XIII, 187 p. online resource |
1 Internal Oxidation of Binary Alloys -- 1.1 The model -- 1.2 The bifurcation diagram -- 1.3 Open problems -- 1.4 References -- 2 Fundamental Problems in the Theory of Shaped-Charged Jets -- 2.1 Formation of jets -- 2.2 Penetration of jets -- 2.3 Open problems -- 2.4 References -- 3 Mathematical Modeling of Dielectric Waveguides -- 3.1 Waveguide -- 3.2 Maxwellโs equations -- 3.3 Homogeneous waveguide analysis; normal modes -- 3.4 Inhomogeneous waveguide analysis: beam propagation technique -- 3.5 Electro-optic switch -- 3.6 Open problems and suggestions -- 3.7 References -- 4 A diffusion problem from rock porosity measurements -- 4.1 The model -- 4.2 Problems -- 4.3 References -- 5 Applications and modeling of diffractive optical elements -- 5.1 Overview of the technology -- 5.2 Need for mathematical modeling -- 5.3 Mathematical approach based on the Maxwell equations -- 5.4 References -- 6 An approach to optimal classification -- 6.1 Objects and probabilities of detection -- 6.2 An optimization procedure -- 6.3 Data fusion -- 6.4 Open questions -- 6.5 References -- 7 Polymer-dispersed liquid crystal films for light control -- 7.1 Operation and measurements -- 7.2 Scattering by a single optically isotropic particle -- 7.3 Light scattering from nematic droplets -- 7.4 Suggestions -- 7.5 References -- 8 Singularity problems in the stress analysis of semiconductor packaging -- 8.1 Semiconductor final manufacturing -- 8.2 Mathematical formulation -- 8.3 Numerical methods -- 8.4 Partial solution -- 8.5 References -- 9 Pulse reflection from a randomly stratified medium -- 9.1 The direct analysis -- 9.2 The inverse problem -- 9.3 References -- 10 Theory of polymer melt viscoelasticity -- 10.1 Polymers -- 10.2 The DoiโEdwards theory -- 10.3 Beyond the DoiโEdwards model -- 10.4 Constraint release and polydispersity -- 10.5 References -- 11 The Advection Equation in Air Quality Modeling -- 11.1 The general model -- 11.2 The advection equation -- 11.3 Numerical methods for the advection equation -- 11.4 Open problems -- 11.5 Remarks on Problem (1) -- 11.6 References -- 12 Diffusion in swelling media: modeling and applications -- 12.1 Thermal dye transfer -- 12.2 Gelatin swelling; filter dye deposition -- 12.3 Open problems -- 12.4 Solution to Problem (1) -- 12.5 References -- 13 Mathematical modeling of semiconductor lasers -- 13.1 The electrical model -- 13.2 Optical/electrical link -- 13.3 Simplifying (13.5)โ(13.15) -- 13.4 References -- 14 Conformation of random polymers -- 14.1 Phenomenology -- 14.2 The excluded volume problem -- 14.3 Protein and polyamphilytes -- 14.4 References -- 15 Current-voltage relations for electrolytic solutions -- 15.1 An electrochemical system -- 15.2 Mathematical formulation -- 15.3 Solution methods -- 15.4 Open problems -- 15.5 Comments on Problem (1) -- 15.6 References -- 16 Scaling and Optimization for List-Matching -- 16.1 Formulation -- 16.2 The partition function -- 16.3 The traveling salesman algorithm -- 16.4 References -- 17 Topics in Tomography -- 17.1 โTomography cannot workโ -- 17.2 Mathematical phantom -- 17.3 Radonโs transform; algorithms -- 17.4 Reconstruction from partial view -- 17.5 References -- 18 Solution to problems from Part 2 -- 18.1 References