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Randall J. LeVeque

Finite Volume Methods for Hyperbolic Problems

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.

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	Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources François Bouchut, "Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources"Birkhäuser Basel; 1 edition (March 23, 2005) \| ISBN: 3764366656 \| 134 pages \| PDF \| 1,2 Mb ...
	Science/Engineering Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods Ronghua Li , Zhongying Chen , "Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods" CRC \| 2000 \| ISBN: 0824703308 \| 472 pages \| PDF \| 12,1 MB This text presents a comprehensive mathemat ...
	Science/Engineering Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods (Studies in Applied and Numerical Mathematics): N. Kikuchi, J.T. Oden Society for Industrial Mathematics \| ISBN: 0898714680 \| 1995-07-14 \| PDF ( ...
	Science/Engineering Finite Element Methods for Flow Problems Jean Donea, Antonio Huerta " Finite Element Methods for Flow Problems "Wiley \| 2003-06-09 \| ISBN: 0471496669 \| 362 pages \| PDF \| 23.5 MB“In recent years there have been significant developments in the development of stable and accurat ...
	Science/Engineering Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods (Pure and Applied Mathem ISBN: 0824703308Title: Generalized Difference Methods for Differential Equations:Numerical Analysis of Finite Volume Methods (Pure and Applied Mathematics (Marcel Dekker))Author: Ronghua LiPublisher: CRCPublication Date: 2000-01-03Number Of ...
	Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources (Frontiers in Mathematics) Author: Fran?ois BouchutPublisher: Birkh?user Basel (2005)Binding: Paperback, 134 pagespricer: $44.95ISBN-10: 3764366656editorialreviewsThis book is devoted to finite volume methods for hyperbolic systems of conservation laws. The accent is ...

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	Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources François Bouchut, "Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources"Birkhäuser Basel; 1 edition (March 23, 2005) \| ISBN: 3764366656 \| 134 pages \| PDF \| 1,2 Mb ...
	Science/Engineering Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods Ronghua Li , Zhongying Chen , "Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods" CRC \| 2000 \| ISBN: 0824703308 \| 472 pages \| PDF \| 12,1 MB This text presents a comprehensive mathemat ...
	Science/Engineering Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods (Studies in Applied and Numerical Mathematics): N. Kikuchi, J.T. Oden Society for Industrial Mathematics \| ISBN: 0898714680 \| 1995-07-14 \| PDF ( ...
	Science/Engineering Finite Element Methods for Flow Problems Jean Donea, Antonio Huerta " Finite Element Methods for Flow Problems "Wiley \| 2003-06-09 \| ISBN: 0471496669 \| 362 pages \| PDF \| 23.5 MB“In recent years there have been significant developments in the development of stable and accurat ...
	Science/Engineering Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods (Pure and Applied Mathem ISBN: 0824703308Title: Generalized Difference Methods for Differential Equations:Numerical Analysis of Finite Volume Methods (Pure and Applied Mathematics (Marcel Dekker))Author: Ronghua LiPublisher: CRCPublication Date: 2000-01-03Number Of ...
	Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws: and Well-Balanced Schemes for Sources (Frontiers in Mathematics) Author: Fran?ois BouchutPublisher: Birkh?user Basel (2005)Binding: Paperback, 134 pagespricer: $44.95ISBN-10: 3764366656editorialreviewsThis book is devoted to finite volume methods for hyperbolic systems of conservation laws. The accent is ...

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