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Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics) -
作者:Randall J. LeVeque
Randall J. LeVeque
人物简介:
Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics)书籍相关信息
- ISBN:9780521009249
- 作者:Randall J. LeVeque
- 出版社:Cambridge University Press
- 出版时间:2002-08-26
- 页数:578
- 价格:USD 49.99
- 纸张:暂无纸张
- 装帧:Paperback
- 开本:暂无开本
- 语言:暂无语言
- 丛书:Cambridge Texts in Applied Mathematics
- 适合人群:Researchers in applied mathematics, engineers specializing in computational fluid dynamics, graduate students in mathematics and engineering, and professionals interested in numerical methods for solving hyperbolic partial differential equations
- TAG:Applied Mathematics / Partial differential equations / Numerical analysis / textbooks / Computational Fluid Dynamics / Hyperbolic Problems / Finite Volume Methods
- 豆瓣评分:暂无豆瓣评分
- 更新时间:2025-05-20 17:53:05
内容简介:
This book contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, (including both linear problems and nonlinear conservation laws). These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are applied to eliminate numerical oscillations. The methods were orginally designed to capture shock waves accurately, but are also useful tools for studying linear wave-progagation problems, particulary in heterogenous material. The methods studied are in the CLAWPACK software package. Source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.