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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

  • Zhu You-lan
  • Chen Bing-mu
  • Zhong Xi-chang
  • Zhang Zuo-min

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Numerical Methods

  3. Inviscid Supersonic Flow Around Bodies

    1. Front Matter
      Pages 209-234
    2. Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 235-336
    3. Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 337-394
    4. Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 395-422
    5. Zhu You-lan, Chen Bing-mu, Zhong Xi-chang, Zhang Zuo-min
      Pages 423-572
  4. Back Matter
    Pages 573-600

About this book

Introduction

Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.

Keywords

Boundary differential equation mathematical physics numerical analysis numerical methods

Authors and affiliations

  • Zhu You-lan
    • 1
  • Chen Bing-mu
    • 1
  • Zhong Xi-chang
    • 1
  • Zhang Zuo-min
    • 1
  1. 1.Computing CenterChinese Academy of SciencesBeijingThe People’s Republic of China

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-06707-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-06709-3
  • Online ISBN 978-3-662-06707-9
  • Buy this book on publisher's site