Authors:
- First text on DG-FEM, suitable both as a textbook and for self sudy
- Attention to both basic analysis and algorithmic issues
- Easily modified MATLAB library routines
- Enables 1D-3D solution of PDEs in general geometries
- Exercises at the end of each chapter
- Includes supplementary material: sn.pub/extras
Part of the book series: Texts in Applied Mathematics (TAM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"This book provides comprehensive coverage of the major aspects of the DG-FEM, from derivation, analysis and implementation of the method to simulation of application problems. It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics and engineering."
-Mathematical Reviews
"The book under review presents basic ideas, theoretical analysis, MATLAB implementation and applications of the DG-FEM. … The representative references quoted are useful for any reader interested in applying the method in a particular area. … This book provides comprehensive coverage of the major aspects of the DG-FEM … . It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics, and engineering." (Weimin Han, Mathematical Reviews, Issue 2008 k)
"This book is intended to offer a comprehensive introduction to, and an efficient implementation of discontinuous Galerkin finite element methods … . Each chapter of the book is largely self-contained and is complemented by adequate exercises. … The style of writing is clear and concise … . is an exceptionally complete and accessible reference for graduate students, researchers, and professionals in applied mathematics, physics, and engineering. It may be used in graduate-level courses, as a self-study resource, or as a research reference." (Marius Ghergu, Zentralblatt MATH, Vol. 1134 (12), 2008)
Authors and Affiliations
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Division of Applied Mathematics, Brown University, Providence, USA
Jan S. Hesthaven
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Department of Computational and Applied Mathematics, Rice University, Houston, USA
Tim Warburton
Bibliographic Information
Book Title: Nodal Discontinuous Galerkin Methods
Book Subtitle: Algorithms, Analysis, and Applications
Authors: Jan S. Hesthaven, Tim Warburton
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-0-387-72067-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-72065-4Published: 18 December 2007
Softcover ISBN: 978-1-4419-2463-6Published: 23 November 2010
eBook ISBN: 978-0-387-72067-8Published: 20 December 2007
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XIV, 502
Topics: Numerical Analysis, Computational Intelligence, Mathematical Methods in Physics, Partial Differential Equations