TY - BOOK AU - Després,Bruno ED - SpringerLink (Online service) TI - Numerical Methods for Eulerian and Lagrangian Conservation Laws T2 - Frontiers in Mathematics, SN - 9783319503554 AV - QA71-90 U1 - 518 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Birkhäuser KW - Computer mathematics KW - Partial differential equations KW - Computational Mathematics and Numerical Analysis KW - Partial Differential Equations N1 - Models -- Conservation laws -- Systems and Lagrangian systems -- Numerical discretization -- Starting from the mesh; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-3-319-50355-4 ER -