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Finite volume methods for hyperbolic problems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Finite volume methods for hyperbolic problems // Randall J. LeVeque.
作者:	LeVeque, Randall J.,
面頁冊數:	1 online resource (xix, 558 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Conservation laws (Mathematics) -
電子資源:	https://doi.org/10.1017/CBO9780511791253
ISBN:	9780511791253 (ebook)

Finite volume methods for hyperbolic problems /
LeVeque, Randall J.,1955-

Finite volume methods for hyperbolic problems /Randall J. LeVeque. - 1 online resource (xix, 558 pages) :digital, PDF file(s). - Cambridge texts in applied mathematics ;31. - Cambridge texts in applied mathematics ;50..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book, first published in 2002, 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 then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and 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.

ISBN: 9780511791253 (ebook)Subjects--Topical Terms:

528267
Conservation laws (Mathematics)

LC Class. No.: QA377 / .L41566 2002

Dewey Class. No.: 515/.353

Finite volume methods for hyperbolic problems /
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520 $a This book, first published in 2002, 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 then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and 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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