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portada Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
Type
Physical Book
Publisher
Author
Language
English
Pages
610
Format
Paperback
ISBN13
9783662067093
Edition No.
1

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

You-Lan Zhu; Xi-Chang Zhong; Bing-Mu Chen; Zuo-Min Zhang (Author) · Springer · Paperback

Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies - You-Lan Zhu; Xi-Chang Zhong; Bing-Mu Chen; Zuo-Min Zhang

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

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.

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