Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students (Software, Environments and Tools, Series Number 14)

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.

Bard Ermentrout is a Professor in the Department of Mathematics at the University of Pittsburgh. He is an editor for Journal of Computational Neuroscience; serves on the editorial boards for Chaos, Neural Computation, and Neural Networks; and is a reviewer for NSF, NIH, AFOSR, ONR, and more than a dozen journals. Professor Ermentrout is also frequently invited as a plenary speaker at a variety of meetings and conferences.