The nature of mathematical modeling
This 1998 book is about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. This essential text will be of great value to anyone working in any quantitative or semi-quantitative discipline, including computer science, physics, applied mathematics, engineering, biology, economics and the social sciences, from undergraduates to leading researchers.
Print Book, English, 1999
Reprint. (with corr.) View all formats and editions
Cambridge Univ. Press, Cambridge, 1999
XII, 344 Seiten : Illustrationen, Diagramme ; 26 cm
9780521570954, 0521570956
246206131
Preface; 1. Introduction; Part I. Analytical Models: 2. Ordinary differential and difference equations; 3. Partial differential equations; 4. Variational principles; 5. Random systems; Part II. Numerical Models: 6. Finite differences: ordinary difference equations; 7. Finite differences: partial differential equations; 8. Finite elements; 9. Cellular automata and lattice gases; Part III. Observational Models: 10. Function fitting; 11. Transforms; 12. Architectures; 13. Optimization and search; 14. Clustering and density estimation; 15. Filtering and state estimation; 16. Linear and nonlinear time series; Appendix 1. Graphical and mathematical software; Appendix 2. Network programming; Appendix 3. Benchmarking; Appendix 4. Problem solutions; Bibliography.
Literaturverz. S. 330 - 339