| 书目名称 | Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws | | 副标题 | and Well-Balanced Sc | | 编辑 | François Bouchut | | 视频video | | | 概述 | The schemes are analyzed regarding their nonlinear stability.Recently developed entropy schemes are presented.A formalism is introduced for source terms | | 丛书名称 | Frontiers in Mathematics | | 图书封面 |  | | 描述 | .This book is devoted to finite volume methods for hyperbolic systems of conservation laws. It differs from previous expositions on the subject in that the accent is put on the development of tools and the design of schemes for which one can rigorously prove nonlinear stability properties. Sufficient conditions for a scheme to preserve an invariant domain or to satisfy discrete entropy inequalities are systematically exposed, with analysis of suitable CFL conditions..The monograph intends to be a useful guide for the engineer or researcher who needs very practical advice on how to get such desired stability properties. The notion of approximate Riemann solver and the relaxation method, which are adapted to this aim, are especially explained. In particular, practical formulas are provided in a new variant of the HLLC solver for the gas dynamics system, taking care of contact discontinuities, entropy conditions, and including vacuum. In the second half of the book, nonconservative schemes handling source terms are analyzed in the same spirit. The recent developments on well-balanced schemes that are able to capture steady states are explained within a general framework that includes | | 出版日期 | Book 2004 | | 关键词 | Conservation laws; Hyperbolic systems; Kinetic solvers; Numerical analysis; Partial differential equatio | | 版次 | 1 | | doi | https://doi.org/10.1007/b93802 | | isbn_softcover | 978-3-7643-6665-0 | | isbn_ebook | 978-3-7643-7792-2Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Birkhäuser Basel 2004 |
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发表于 2025-3-21 17:57:28
