Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students - Brossura

Ermentrout, Bard

 
9780898715064: Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students

Sinossi

Provides sophisticated numerical methods for the fast and accurate solution of a range of equation types.

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Descrizione del libro

Provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations.

Contenuti

List of figures; Preface; 1. Installation; 2; A Very Brief Tour of XPPAUT; 3. Writing ODE Files for Differential Equations; 4. XPPAUT in the Classroom; 5. More Advanced Diffferential Equations; 6. Spatial Problems, PDEs, and BVPs; 7. Using AUTO. Bifurcation and Continuation; 8. Animation; 9; Tricks and Advanced Methods; Appendix A. Colors and Linestyles; Appendix B. The Options; Appendix C. Numerical Methods; Appendix D. Structure of ODE Files; Appendix E. Complete Command List; Appendix F. Error Messages; Appendix G. Cheat Sheet; References; IndexAppendix C. Numerical Methods; Appendix D. Structure of ODE Files; Appendix E. Complete Command List; Appendix F. Error Messages; Appendix G. Cheat Sheet; References; Index.

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