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Titlebook: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies; Zhu You-lan,Chen Bing-mu,Zhang Zuo-min Book 1988 Springer-V

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书目名称Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
编辑Zhu You-lan,Chen Bing-mu,Zhang Zuo-min
视频video
图书封面Titlebook: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies;  Zhu You-lan,Chen Bing-mu,Zhang Zuo-min Book 1988 Springer-V
描述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.
出版日期Book 1988
关键词Boundary; differential equation; mathematical physics; numerical analysis; numerical methods
版次1
doihttps://doi.org/10.1007/978-3-662-06707-9
isbn_softcover978-3-662-06709-3
isbn_ebook978-3-662-06707-9
copyrightSpringer-Verlag Berlin Heidelberg 1988
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https://doi.org/10.1007/978-3-662-06707-9Boundary; differential equation; mathematical physics; numerical analysis; numerical methods
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978-3-662-06709-3Springer-Verlag Berlin Heidelberg 1988
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Optimizing Reduction to Familiar Concepts conditions are given in the .-direction, the boundary conditions and the internal boundary conditions in the .-direction, and the periodicity condition in the .-direction. Because a periodicity condition is given in the .-direction, the way of discretization for the pure-initial-value problems can
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Michał Krynicki,Marcin Mostowskiroblem. They can be divided into two kinds, namely, the method of stabilization and the steady state method. The steady state method covers the finite difference method, the method of integral relations, the series expansion method, the method of lines and so on.
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Quantum Measurements and DecoherenceIn this chapter, we shall consider the following boundary-value problems.
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