Overview
- Includes focused invited papers and contributions reviewed by experts
- Gives a comprehensive overview and theoretical understanding
- Important for multiphysics and multiscale applications
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 77)
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Table of contents (45 papers)
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Front Matter
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Theoretical Aspects
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Front Matter
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Keywords
About this book
The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field.
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. Recent decades have brought significant success 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 level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.
Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.
Editors and Affiliations
Bibliographic Information
Book Title: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Book Subtitle: FVCA 7, Berlin, June 2014
Editors: Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-319-05684-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-05683-8Published: 23 May 2014
Softcover ISBN: 978-3-319-38287-6Published: 17 September 2016
eBook ISBN: 978-3-319-05684-5Published: 12 May 2014
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XVIII, 468
Number of Illustrations: 47 b/w illustrations, 40 illustrations in colour
Topics: Numerical Analysis, Numerical and Computational Physics, Simulation, Simulation and Modeling, Partial Differential Equations