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Numerical Solution of Partial Differential Equations

  • Theodor Meis
  • Ulrich Marcowitz

Part of the Applied Mathematical Sciences book series (AMS, volume 32)

Table of contents

  1. Front Matter
    Pages n2-viii
  2. Theodor Meis, Ulrich Marcowitz
    Pages 207-333
  3. Theodor Meis, Ulrich Marcowitz
    Pages 334-443
  4. Back Matter
    Pages 444-543

About this book

Introduction

This book is the result of two courses of lectures given at the University of Cologne in Germany in 1974/75. The majority of the students were not familiar with partial differential equations and functional analysis. This explains why Sections 1, 2, 4 and 12 contain some basic material and results from these areas. The three parts of the book are largely independent of each other and can be read separately. Their topics are: initial value problems, boundary value problems, solutions of systems of equations. There is much emphasis on theoretical considerations and they are discussed as thoroughly as the algorithms which are presented in full detail and together with the programs. We believe that theoretical and practical applications are equally important for a genuine understa- ing of numerical mathematics. When writing this book, we had considerable help and many discussions with H. W. Branca, R. Esser, W. Hackbusch and H. Multhei. H. Lehmann, B. Muller, H. J. Niemeyer, U. Schulte and B. Thomas helped with the completion of the programs and with several numerical calculations. Springer-Verlag showed a lot of patience and under­ standing during the course of the production of the book. We would like to use the occasion of this preface to express our thanks to all those who assisted in our sometimes arduous task.

Keywords

Boundary value problem Equations Numerische Mathematik Partielle Differentialgleichung Solutions differential equation functional analysis partial differential equation

Authors and affiliations

  • Theodor Meis
    • 1
  • Ulrich Marcowitz
    • 1
  1. 1.Mathematisches Institut der Universität zu KölnKöln 41Federal Republic of Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5885-8
  • Copyright Information Springer-Verlag New York 1981
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90550-1
  • Online ISBN 978-1-4612-5885-8
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site
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