Editors:
- Offers a comprehensive overview of the state of the art of finite volume applications
- Covers both theoretical and applied aspects
- Includes contributions from leading researchers in the field
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 200)
Conference series link(s): FVCA: International Conference on Finite Volumes for Complex Applications
Conference proceedings info: FVCA 2017.
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Table of contents (58 papers)
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Front Matter
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Hyperbolic Problems
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Front Matter
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Other Volumes
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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
About this book
This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.
The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. 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 l
evel. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.The book is useful for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.
Editors and Affiliations
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Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France
Clément Cancès
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Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France
Pascal Omnes
Bibliographic Information
Book Title: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
Book Subtitle: FVCA 8, Lille, France, June 2017
Editors: Clément Cancès, Pascal Omnes
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-57394-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-57393-9Published: 24 May 2017
Softcover ISBN: 978-3-319-86152-4Published: 29 July 2018
eBook ISBN: 978-3-319-57394-6Published: 22 May 2017
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XV, 559
Number of Illustrations: 18 b/w illustrations, 149 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Fluid- and Aerodynamics, Numerical and Computational Physics, Simulation