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＜E-Book＞
Numerical Methods for Eulerian and Lagrangian Conservation Laws / by Bruno Després
(Frontiers in Mathematics. ISSN:16608054)

Edition	1st ed. 2017.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2017
Language	English
Size	XVII, 349 p. 103 illus., 3 illus. in color : online resource
Authors	*Després, Bruno author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Differential equations FREE:Computational Mathematics and Numerical Analysis FREE:Differential Equations
Notes	Models -- Conservation laws -- Systems and Lagrangian systems -- Numerical discretization -- Starting from the mesh This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. The two first chapters present a selection of well-known features of conservation laws and prepare readers for the subsequent chapters, which are dedicated to the analysis and discretization of Lagrangian systems. The text is at the frontier of applied mathematics and scientific computing and appeals to students and researchers interested in Lagrangian-based computational fluid dynamics. It also serves as an introduction to the recent corner-based Lagrangian finite volume techniques HTTP:URL=https://doi.org/10.1007/978-3-319-50355-4

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