Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.
Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.
Part I. Introduction: 1. Mathematical modelling Part II. Methods: 2. Non-dimensionalisation 3. Asymptotics 4. Perturbation methods Part III. Classical Models: 5. Heat transfer 6. Viscous flow 7. Solid mechanics 8. Electromagnetism Part IV. Continuum Models: 9. Enzyme kinetics 10. The Belousov-Zhabotinskii reaction 11. Spruce budworm infestations 12. Chemical reactors 13. Groundwater flow 14. Convection in a porous medium 15. River flow 16. One-dimensional two-phase flow Part V. Advanced Models: 17. Alloy solidification 18. Ice sheet dynamics 19. Chemosensory respiratory control 20. Frost heave in freezing soils References.
Part I. Introduction: 1. Mathematical modelling Part II. Methods: 2. Non-dimensionalisation 3. Asymptotics 4. Perturbation methods Part III. Classical Models: 5. Heat transfer 6. Viscous flow 7. Solid mechanics 8. Electromagnetism Part IV. Continuum Models: 9. Enzyme kinetics 10. The Belousov-Zhabotinskii reaction 11. Spruce budworm infestations 12. Chemical reactors 13. Groundwater flow 14. Convection in a porous medium 15. River flow 16. One-dimensional two-phase flow Part V. Advanced Models: 17. Alloy solidification 18. Ice sheet dynamics 19. Chemosensory respiratory control 20. Frost heave in freezing soils References.
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