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portada Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023
Type
Physical Book
Collection
Springer Proceedings in Mathematics & Statistics
Year
2024
Pages
308
Format
Paperback
Dimensions
23.5x15.5 cm
ISBN13
9783031408625

Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023

Emmanuel Franck;Victor Michel-Dansac;Laurent Navoret;Jurgen Fuhrmann (Author) · Springer International Publishing AG · Paperback

Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023 - Emmanuel Franck;Victor Michel-Dansac;Laurent Navoret;Jurgen Fuhrmann

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Synopsis "Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems. FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023"

This volume comprises the second part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differentialequations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention.  The first volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. This volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

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