Numerical Analysis

  • Rainer Kress

Part of the Graduate Texts in Mathematics book series (GTM, volume 181)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Rainer Kress
    Pages 1-4
  3. Rainer Kress
    Pages 5-24
  4. Rainer Kress
    Pages 25-52
  5. Rainer Kress
    Pages 53-76
  6. Rainer Kress
    Pages 77-92
  7. Rainer Kress
    Pages 93-118
  8. Rainer Kress
    Pages 119-150
  9. Rainer Kress
    Pages 151-188
  10. Rainer Kress
    Pages 189-224
  11. Rainer Kress
    Pages 225-256
  12. Rainer Kress
    Pages 257-286
  13. Rainer Kress
    Pages 287-316
  14. Back Matter
    Pages 317-328

About this book

Introduction

No applied mathematician can be properly trained without some basic un­ derstanding ofnumerical methods, Le., numerical analysis. And no scientist and engineer should be using a package program for numerical computa­ tions without understanding the program's purpose and its limitations. This book is an attempt to provide some of the required knowledge and understanding. It is written in a spirit that considers numerical analysis not merely as a tool for solving applied problems but also as a challenging and rewarding part of mathematics. The main goal is to provide insight into numerical analysis rather than merely to provide numerical recipes. The book evolved from the courses on numerical analysis I have taught since 1971 at the University ofGottingen and may be viewed as a successor of an earlier version jointly written with Bruno Brosowski [10] in 1974. It aims at presenting the basic ideas of numerical analysis in a style as concise as possible. Its volume is scaled to a one-year course, i.e., a two-semester course, addressing second-yearstudents at a German university or advanced undergraduate or first-year graduate students at an American university.

Keywords

Analysis Numerical integration algorithm algorithms finite element method numerical analysis numerical methods operator stability

Authors and affiliations

  • Rainer Kress
    • 1
  1. 1.Institut für Numerische und Angewandte MathematikUniversität GöttingenGöttingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0599-9
  • Copyright Information Springer Science+Business Media New York 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6833-8
  • Online ISBN 978-1-4612-0599-9
  • Series Print ISSN 0072-5285
  • About this book