Solving ODEs with MATLAB

by L. F. Shampine, I. Gladwell, S. Thompson

Overview

This book is a text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics. Prerequisites are a first course in the theory of ODEs and a survey course in numerical analysis, in addition to specific programming experience, preferably in MATLAB, and knowledge of elementary matrix theory. Professionals will also find that this useful concise reference contains reviews of technical issues and realistic and detailed examples. The programs for the examples are supplied on the accompanying web site and can serve as templates for solving other problems. Each chapter begins with a discussion of the "facts of life" for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understaning the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

Product Details

ISBN-13:	9780521824040
Publisher:	Cambridge University Press
Publication date:	05/05/2003
Pages:	272
Product dimensions:	7.91(w) x 9.21(h) x 0.71(d)

Table of Contents

1. Getting started; 2. Initial value problems; 3. Boundary value problems; 4. Delay differential equations.

Editorial Reviews

"The authors provide an excellent treatment of the fundamentals for solving ODEs using MATLAB. Their vast experience from research, the solution of real problems, and the teaching of this material is evident throughout the book." Mathematical Reviews

"...a very useful book to those who are looking to expand their MATLAB experience." Amanda Bligh, Product Design Engineer, Hasbor, Inc.

From the Publisher