Mathematical Analysis and Numerical Methods for Science and Technology

Volume 4 Integral Equations and Numerical Methods

  • Robert Dautray
  • Jacques-Louis Lions

Table of contents

  1. Front Matter
    Pages I-X
  2. Robert Dautray, Jacques-Louis Lions
    Pages 1-32
  3. Robert Dautray, Jacques-Louis Lions
    Pages 33-159
  4. Robert Dautray, Jacques-Louis Lions
    Pages 160-358
  5. Robert Dautray, Jacques-Louis Lions
    Pages 359-370
  6. Back Matter
    Pages 371-493

About this book

Introduction

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Keywords

Boundary value problem Eigenvalue Helmholtz equation Sobolev space calculus differential equation eigenvector finite element method kernel knowledge mathematical analysis mathematics maximum numerical methods

Authors and affiliations

  • Robert Dautray
    • 1
  • Jacques-Louis Lions
    • 2
  1. 1.ParisFrance
  2. 2.Collège de FranceParis Cedex 5France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61531-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66100-9
  • Online ISBN 978-3-642-61531-3
  • About this book