Mathematics in Industrial Problems - Avner Friedman

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Biographie:
Anver Friedman is a Distinguished University Professor. He received his PH.D. degree in 1956 from the Hebrew University. His research interests include partial differential equations, both general mathematical theory as well as applications to models that arise in the physical and life sciences, in engineering, and in industry. Chiu-Yen Kao is an Associate Professor at Claremont McKenna College. Her area of expertise is in applied mathematics....

Sommaire:
1 Dealing with geometric variations in manufacturing.- 1.1 Tolerancing.- 1.2 Metrology.- 1.3 Mathematical issues.- 1.4 References.- 2 Interdisciplinary computational fluid dynamics.- 2.1 Industrial interdisciplinary CFD.- 2.2 Thermal flow and combustion model.- 2.3 References.- 3 A mathematical model of a crystallizer.- 3.1 The physical model.- 3.2 Mathematical model for CSTR mixer.- 3.3 Mathematical model for PFR mixer.- 3.4 Scaling.- 3.5 Numerical results.- 3.6 References.- 4 Randomized algorithms in industrial problems.- 4.1 Programmable logical array (PLA).- 4.2 Gate arrays.- 4.3 Printed circuit board (PCB).- 4.4 References.- 5 Global geodesic coordinates on aG0 continuous surface.- 5.1 Basic problems.- 5.2 Geodesics on a smooth surface.- 5.3 Geodesics on non-smooth surfaces.- 5.4 References.- 6 Micromechanics effects in creep metal-matrix composites.- 6.1 Metal-matrix composites.- 6.2 The unreinforced model.- 6.3 The composite problem.- 6.4 References.- 7 Seismic inversion for geophysical prospecting.- 7.1 Data acquisition.- 7.2 Some traditional data processing steps.- 7.3 Multiparameter inversion.- 7.4 Open problems.- 7.5 References.- 8 Simulations for etch/deposition profile evolution.- 8.1 The problem.- 8.2 Mathematical formulation.- 8.3 Numerical results.- 8.4 Open problems.- 8.5 References.- 9 Analysis of cellular mobile radio.- 9.1 A cellular mobile radio system.- 9.2 Traditional queueing networks.- 9.3 An interacting queue model.- 9.4 Open problems.- 9.5 References.- 10 A pseudo non-time-splitting scheme in air quality modeling.- 10.1 The model.- 10.2 The pseudo non-time-splitting method.- 10.3 Numerical results.- 10.4 References.- 11 Fluid flow in a porous medium.- 11.1 The problem.- 11.2 The quasi-stationary 2-d model.- 11.3 Numerical results.- 11.4 Need for another model.- 11.5 Open problems.- 11.6 References.- 12 Robots, mechanisms and polynomial continuation.- 12.1 Examples.- 12.2 Polynomial continuation.- 12.3 The Stewart platform.- 12.4 Open questions.- 12.5 References.- 13 Failure times in metal lines.- 13.1 Electromigration.- 13.2 A mathematical model.- 13.3 Another model.- 13.4 Analysis of the solution.- 13.5 References.- 14 Surface modeling: impacts of design and manufacturing.- 14.1 Patched surfaces.- 14.2 Feature-based approach.- 14.3 Free-form deformation.- 14.4 References.- 15 Chemical filtration modeling.- 15.1 The chemistry of absorption.- 15.2 The occurrence of absorption.- 15.3 A recirculation model.- 15.4 Open problems.- 15.5 References.- 16 The element-free Galerkin method in large deformations.- 16.1 Large deformations.- 16.2 Moving least square interpolants.- 16.3 Kinematics of large deformations of continua.- 16.4 The EFG method.- 16.5 Proposed further research.- 16.6 References.- 17 Aeroacoustic research in the automotive industry.- 17.1 Basic acoustics.- 17.2 Mathematical modeling of sound.- 17.3 Acoustic source models.- 17.4 The antenna model.- 17.5 Open problems.- 17.6 References.- 18 Synchronization for chaotic dynamical systems.- 18.1 Synchronization.- 18.2 General definition of synchronization.- 18.3 Conditional Lyapunov exponents.- 18.4 Chaotic signal masking.- 18.5 Controlling chaos.- 18.6 References.- 19 Solutions to problems from part 7.- 19.1 Chapter 2.- 19.2 Chapter 3.- 19.3 Chapter 4.- 19.4 Chapter 14.- 19.5 Chapter 20.- 19.6 References.