Overview
- Link between mathematical theory and practical solution of complicated systems of partial differential equations
- Excellent treatment of modern techniques for the solution of partial differential equations
- Survey of most recent discontinuous Galerkin schemes for the solution of compressible flow
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 48)
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Table of contents (10 chapters)
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Front Matter
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Analysis of the Discontinuous Galerkin Method
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Front Matter
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Applications of the Discontinuous Galerkin Method
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Front Matter
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Back Matter
Keywords
About this book
The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the book’s uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow.
Authors and Affiliations
Bibliographic Information
Book Title: Discontinuous Galerkin Method
Book Subtitle: Analysis and Applications to Compressible Flow
Authors: Vít Dolejší, Miloslav Feistauer
Series Title: Springer Series in Computational Mathematics
DOI: https://doi.org/10.1007/978-3-319-19267-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-19266-6Published: 27 July 2015
Softcover ISBN: 978-3-319-37123-8Published: 15 October 2016
eBook ISBN: 978-3-319-19267-3Published: 17 July 2015
Series ISSN: 0179-3632
Series E-ISSN: 2198-3712
Edition Number: 1
Number of Pages: XIV, 572
Number of Illustrations: 83 b/w illustrations, 4 illustrations in colour
Topics: Numerical Analysis, Computational Science and Engineering, Mathematical Modeling and Industrial Mathematics, Applications of Mathematics