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Computational Differential Equations
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Artikel-Nr:
9780521567381
Veröffentl:
2014
Einband:
Paperback
Erscheinungsdatum:
25.03.2014
Seiten:
556
Autor:
Kenneth Eriksson
Gewicht:
795 g
Format:
229x152x30 mm
Sprache:
Englisch
Beschreibung:
Textbook for teaching computational mathematics.
Part I. Introduction: 1. Introduction; 2. Review of calculus in one dimension; 3. Piecewise polynomial approximation in one dimension; 4. Review of linear algebra; 5. A first example; 6. Review of numerical linear algebra; Part II. Archetypes: 7. An elliptic model problem; 8. A parabolic model problem; 9. A hyperbolic model problem; 10. An elliptic-hyperbolic model problem; 11. Systems of linear ode's; 12. Calculus of variations; 12. Computational mathematical modelling; Part III. Problems in Several Dimensions: 13. Review of calculus in several dimensions; 14. Elliptic problems; 15. The heat equation; 16. The wave equation; 17. Stationary convection-diffusion; 18. Time-dependent convection-diffusion; 19. Eigenvalue problems; 20. Power of abstraction; Part IV. Appendix: 21. History of calculus; 22. Femlab.