Solving ODEs with MATLAB

Front Cover
Cambridge University Press, Apr 28, 2003 - Mathematics - 263 pages
2 Reviews
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.
 

What people are saying - Write a review

User Review - Flag as inappropriate

asad

User Review - Flag as inappropriate

awesome!

Contents

Getting Started
1
12 Existence Uniqueness and WellPosedness
6
13 Standard Form
19
14 Control of the Error
27
15 Qualitative Properties
34
Initial Value Problems
39
22 Numerical Methods for IVPs
40
221 OneStep Methods
41
32 Boundary Value Problems
135
33 Boundary Conditions
138
331 Boundary Conditions at Singular Points
139
332 Boundary Conditions at Infinity
146
34 Numerical Methods for BVPs
156
35 Solving BVPs in MATLAB
168
Delay Differential Equations
213
42 Delay Differential Equations
214

222 Methods with Memory
57
23 Solving IVPs in MATLAB
81
231 Event Location
92
232 ODEs Involving a Mass Matrix
105
233 Large Systems and the Method of Lines
114
234 Singularities
127
Boundary Value Problems
133
43 Numerical Methods for DDEs
217
44 Solving DDEs in MATLAB
221
45 Other Kinds of DDEs and Software
247
Bibliography
251
Index
257
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information