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

ISBN: 9780387108872

Published:

Hardcover

600 pages


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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies  by  You-lan Zhu

Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies by You-lan Zhu
| Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 600 pages | ISBN: 9780387108872 | 10.70 Mb

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 haveMoreSince 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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