Numerical Analysis in Modern Scientific Computing

An Introduction

  • Peter Deuflhard
  • Andreas Hohmann

Part of the Texts in Applied Mathematics book series (TAM, volume 43)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Peter Deuflhard, Andreas Hohmann
    Pages 1-20
  3. Peter Deuflhard, Andreas Hohmann
    Pages 21-56
  4. Peter Deuflhard, Andreas Hohmann
    Pages 57-80
  5. Peter Deuflhard, Andreas Hohmann
    Pages 81-117
  6. Peter Deuflhard, Andreas Hohmann
    Pages 119-150
  7. Peter Deuflhard, Andreas Hohmann
    Pages 151-178
  8. Peter Deuflhard, Andreas Hohmann
    Pages 179-235
  9. Peter Deuflhard, Andreas Hohmann
    Pages 237-268
  10. Peter Deuflhard, Andreas Hohmann
    Pages 269-323
  11. Back Matter
    Pages 325-339

About this book

Introduction

This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational concepts over fast changing software issues. The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems. For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either exploration methods or multigrid methods in differential equations, which are not treated here. The presentation draws on geometrical intuition wherever appropriate, supported by large number of illustrations. Numerous exercises are included for further practice and improved understanding.

This text will appeal to undergraduate and graduate students as well as researchers in mathematics, computer science, science, and engineering. At the same time, it is addressed to practical computational scientists who, via self-study, wish to become acquainted with modern concepts of numerical analysis and scientific computing on an elementary level. The sole prerequisite is undergraduate knowledge in linear algebra and calculus.

Keywords

Analysis Numerical integration algebra algorithm algorithms linear algebra model numerical analysis numerical quadrature scientific computing stability

Authors and affiliations

  • Peter Deuflhard
    • 1
  • Andreas Hohmann
    • 2
  1. 1.Konrad-Zuse-Zentrum (ZIB)Berlin-DahlemGermany
  2. 2.AMSDusseldorfGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21584-6
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2990-7
  • Online ISBN 978-0-387-21584-6
  • Series Print ISSN 0939-2475
  • About this book
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