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-...
| Uniform Title: | Chu bian zhi wen ti cha fen fang fa ji jiao liu. |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York : Beijing :
Springer-Verlag ; Science Press,
[1988]
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| Series: | Chun cui shu xue yu ying yong shu xue zhuan zhu ;
di 4 hao. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Translation of: Chu bian zhi wen ti cha fen fang fa ji jiao liu. "Revised edition of the original Chinese edition published by Science Press Beijing 1980 as the fourth volume in the Academia Sinica's series in pure and applied mathematics"--Title page verso. Electronic resource. |
| Physical Description: | 1 online resource (viii, 600 pages) : illustrations |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 573-595) and index. |
| ISBN: | 9783662067079 (electronic bk.) 3662067072 (electronic bk.) |