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Software Environments and Tools Ser.: Simulating, Analyzing, and Animating Dynamical Systems : A Guide to XPPAUT for Researchers and Students by Bard Ermentrout (2002, Trade Paperback)

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Simulating, Analyzing, and Animating Dynamical Systems: A Guide to Xppaut for Researchers and Students by Ermentrout, Bard May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less

About this product

Product Identifiers

PublisherSociety for Industrial AND Applied Mathematics

ISBN-100898715067

ISBN-139780898715064

eBay Product ID (ePID)2194279

Product Key Features

Number of Pages304 Pages

Publication NameSimulating, Analyzing, and Animating Dynamical Systems : A Guide to XPPAUT for Researchers and Students

LanguageEnglish

Publication Year2002

SubjectDifferential Equations / General, General

TypeTextbook

AuthorBard Ermentrout

Subject AreaMathematics

SeriesSoftware Environments and Tools Ser.

FormatTrade Paperback

Dimensions

Item Height0.8 in

Item Weight19 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2002-017639

Dewey Edition21

IllustratedYes

Dewey Decimal515/.352

Table Of ContentList of Figures Preface Chapter 1: Installation Chapter 2: A Very Brief Tour of XPPAUT Chapter 3: Writing ODE Files for Differential Equations Chapter 4: XPPAUT in the Classroom Chapter 5: More Advanced Differential Equations Chapter 6: Spatial Problems, PDE's, and BVP's Chapter 7: Using AUTO: Bifurcation and Continuation Chapter 8: Animation Chapter 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 Index.

SynopsisProvides 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., 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. In addition, readers will learn several concepts from the field of dynamical systems, including chaos theory, how systems depend on parameters, and how simple physical systems can lead to complicated behavior. XPPAUT is a tool for simulating, animating, and analyzing dynamical systems that evolved from tools developed by the author for studying nonlinear oscillations. XPPAUT offers several advantages over MATLAB, Maple, and Mathematica, including the following: 1) A faster way to numerically solve differential equations and do numerical integration. 2) More flexibility with integration, including interactive integration that allows the user to see the progress of the solution as it is computed. 3) An interface with AUTO, a continuation packae. 4) Simpler syntax for setting up differentiation equations. 5) Free downloading of the source code.

LC Classification NumberQA371.5.D37 E76 2002