02831nam 22005295 450 991025428030332120220412223531.03-319-50355-310.1007/978-3-319-50355-4(CKB)4340000000062029(MiAaPQ)EBC4908256(DE-He213)978-3-319-50355-4(PPN)203668952(EXLCZ)99434000000006202920170710d2017 u| 0engurcnu||||||||rdacontentrdamediardacarrierNumerical methods for Eulerian and Lagrangian conservation laws /by Bruno Després1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (349 pages) illustrations, tablesFrontiers in Mathematics,1660-80463-319-50354-5 Includes bibliographical references and index.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.Frontiers in Mathematics,1660-8046Computer mathematicsPartial differential equationsComputational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Computer mathematics.Partial differential equations.Computational Mathematics and Numerical Analysis.Partial Differential Equations.515.3535Després Brunoauthttp://id.loc.gov/vocabulary/relators/aut767372MiAaPQMiAaPQMiAaPQBOOK9910254280303321Numerical Methods for Eulerian and Lagrangian Conservation Laws1562259UNINA