Numerical Solution of Ordinary Differential Equations

  • L. Fox
  • D. F. Mayers

Table of contents

  1. Front Matter
    Pages i-xi
  2. L. Fox, D. F. Mayers
    Pages 1-13
  3. L. Fox, D. F. Mayers
    Pages 14-41
  4. L. Fox, D. F. Mayers
    Pages 42-77
  5. L. Fox, D. F. Mayers
    Pages 78-97
  6. L. Fox, D. F. Mayers
    Pages 98-127
  7. L. Fox, D. F. Mayers
    Pages 179-197
  8. L. Fox, D. F. Mayers
    Pages 198-211
  9. L. Fox, D. F. Mayers
    Pages 212-230
  10. L. Fox, D. F. Mayers
    Pages 231-246
  11. Back Matter
    Pages 247-249

About this book

Introduction

Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computing methods for scientists and engineers. It was stated that most computation is performed by workers whose mathematical training stopped somewhere short of the 'professional' level, and that some books are therefore needed which use quite simple mathematics but which nevertheless communicate the essence of the 'numerical sense' which is exhibited by the real computing experts and which is surely needed, at least to some extent, by all who use modern computers and modern numerical software. In that book we treated, at no great length, a variety of computational problems in which the material on ordinary differential equations occupied about 50 pages. At that time it was quite common to find books on numerical analysis, with a little on each topic ofthat field, whereas today we are more likely to see similarly-sized books on each major topic: for example on numerical linear algebra, numerical approximation, numerical solution ofordinary differential equations, numerical solution of partial differential equations, and so on. These are needed because our numerical education and software have improved and because our relevant problems exhibit more variety and more difficulty. Ordinary differential equa­ tions are obvious candidates for such treatment, and the current book is written in this sense.

Keywords

differential equation ordinary differential equation

Authors and affiliations

  • L. Fox
    • 1
  • D. F. Mayers
    • 1
  1. 1.Oxford UniversityUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-3129-9
  • Copyright Information Springer Science+Business Media B.V. 1987
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7907-5
  • Online ISBN 978-94-009-3129-9
  • About this book
Industry Sectors
Aerospace