Overview
- Comprehensive overview of the state of the art
- Both theoretical and applied aspects are covered
- Authors are leading researchers from the community
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 433)
Included in the following conference series:
Conference proceedings info: FVCA 2023.
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Table of contents (31 papers)
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Front Matter
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Contributed Papers
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Front Matter
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Other volumes
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Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems
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Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems
Book Subtitle: FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023
Editors: Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, Laurent Navoret
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-031-40860-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-40859-5Published: 13 October 2023
Softcover ISBN: 978-3-031-40862-5Due: 13 November 2023
eBook ISBN: 978-3-031-40860-1Published: 12 October 2023
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XI, 308
Number of Illustrations: 10 b/w illustrations, 83 illustrations in colour
Topics: Mathematics, general, Mathematical and Computational Engineering