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Numerical Analysis

  • Authors
  • Roger Temam

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Approximate Solution of Functional Equations: General Remarks

  3. Approximate Solution of Linear Elliptic Equations

    1. Front Matter
      Pages 3-3
    2. Roger Temam
      Pages 5-11
    3. Roger Temam
      Pages 12-17
    4. Roger Temam
      Pages 18-30
    5. Roger Temam
      Pages 40-42
    6. Roger Temam
      Pages 43-49
  4. Applications

  5. A Nonlinear Elliptic Equation

    1. Front Matter
      Pages 129-129
    2. Roger Temam
      Pages 131-142
    3. Roger Temam
      Pages 143-155
  6. Back Matter
    Pages 156-167

About this book

Introduction

This book is an introduction to one of the important as­ pects of Numerical Analysis, namely the approximate solution of functional equations. We intend to show, by a few brief examples, the different theoretical and practical problems related to the numerical approximation of boundary value problems. We have chosen for this the approximate solution of certain linear elliptic partial differential equations (the first two parts of the book) and the approximate solution of a nonlinear elliptic differential equation. This book is not a systematic study of the subject, but the methods developed here can be applied to large classes of linear and nonlinear elliptic problems. The book assumes that the reader's knowledge of Anal­ ysis is comparable to what is taught in the first years of graduate studies. This means a good knowledge of Hilbert spaces, elements of measure theory and theory of distributions. The subject matter of the book covers the usual content of a first course on Numerical Analysis of partial differential equations.

Keywords

Approximation calculus finite element method numerical analysis

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-2565-2
  • Copyright Information Springer Science+Business Media B.V. 1973
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-2567-6
  • Online ISBN 978-94-010-2565-2
  • Buy this book on publisher's site
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