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.
