Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students: 14 (Software, Environments and Tools, Series Number 14) Paperback – 1 Jan. 1987

Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students 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. Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUT's capabilities. Contents: 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.