# Introduction to Partial Differential Equations

## A Computational Approach

• Aslak Tveito
• Ragnar Winther Textbook

Part of the Texts in Applied Mathematics book series (TAM, volume 29)

1. Front Matter
Pages i-xv
2. Pages 1-37
3. Pages 39-86
4. Pages 87-116
5. Pages 117-158
6. Pages 159-173
7. Pages 175-207
8. Pages 209-244
9. Pages 245-284
10. Pages 285-312
11. Pages 313-336
12. Pages 337-364
13. Pages 365-384
14. Back Matter
Pages 385-392

### Introduction

“It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology.” — Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial di?erential equations. That decision is a wise one; the laws of nature are written in the language of partial di?erential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the ?eld. We assume only that you are familiar with - sic calculus and elementary linear algebra. Some experience with ordinary di?erential equations would also be an advantage. Introductory courses in partial di?erential equations are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to - rive exact solutions of some simpli?ed problems. Students who learn about viii Preface computational techniques on other courses subsequently realize the scope of partial di?erential equations beyond paper and pencil.

### Keywords

Boundary value problem Fourier series Maximum calculus differential equation numerical methods partial differential equation wave equation

#### Authors and affiliations

• Aslak Tveito
• 1
• Ragnar Winther
• 1
1. 1.Department of InformaticsOslo UniversityOsloNorway

### Bibliographic information

• DOI https://doi.org/10.1007/b98967
• Copyright Information Springer-Verlag New York, Inc. 1998
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-0-387-98327-1
• Online ISBN 978-0-387-22773-3
• Series Print ISSN 0939-2475
• Buy this book on publisher's site
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