Mathematics in Industrial Problems

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. Language: English