Skip to main content
SpringerLink
Log in

Numerical Analysis

  • Book
  • © 1973

Overview

Authors:
  1. Roger Temam
    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Approximate Solution of Functional Equations: General Remarks

    1. Approximate Solution of Functional Equations: General Remarks

      • Roger Temam
      Pages 1-2

  3. Approximate Solution of Linear Elliptic Equations

    1. Front Matter

      Pages 3-3
      Download chapter PDF

    2. The Projection Theorem

      • Roger Temam
      Pages 5-11

    3. The Method of Galerkin

      • Roger Temam
      Pages 12-17

    4. The Approximation of Normed Spaces

      • Roger Temam
      Pages 18-30

    5. Approximation of Linear Variational Problems

      • Roger Temam
      Pages 31-39

    6. A Method for Computation of the Error

      • Roger Temam
      Pages 40-42

    7. The Method of Fractionary Steps

      • Roger Temam
      Pages 43-49

  5. A Nonlinear Elliptic Equation

    1. Front Matter

      Pages 129-129
      Download chapter PDF

    2. The Exact Problem

      • Roger Temam
      Pages 131-142

    3. Approximate Problems

      • Roger Temam
      Pages 143-155

  6. Back Matter

    Pages 156-167
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

  • Book Title: Numerical Analysis

  • Authors: Roger Temam

  • DOI: https://doi.org/10.1007/978-94-010-2565-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1973

  • Hardcover ISBN: 978-90-277-0308-8Due: 30 September 1973

  • Softcover ISBN: 978-94-010-2567-6Published: 10 November 2011

  • eBook ISBN: 978-94-010-2565-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 180

  • Additional Information: Originally published in French

  • Topics: Computational Mathematics and Numerical Analysis, Numeric Computing

Publish with us

Policies and ethics

Back to top

Search

Navigation