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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics) Hardcover – December 18, 2007

4 out of 5 stars 3 customer reviews

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Editorial Reviews

Review

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)

From the Back Cover

This book discusses a family of computational methods, known as discontinuous Galerkin methods, for solving partial differential equations. While these methods have been known since the early 1970s, they have experienced an almost explosive growth interest during the last ten to fifteen years, leading both to substantial theoretical developments and the application of these methods to a broad range of problems.

These methods are different in nature from standard methods such as finite element or finite difference methods, often presenting a challenge in the transition from theoretical developments to actual implementations and applications.

This book is aimed at graduate level classes in applied and computational mathematics. The combination of an in depth discussion of the fundamental properties of the discontinuous Galerkin computational methods with the availability of extensive software allows students to gain first hand experience from the beginning without eliminating theoretical insight.

Jan S. Hesthaven is a professor of Applied Mathematics at Brown University.

Tim Warburton is an assistant professor of Applied and Computational Mathematics at Rice University.

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Product Details

  • Series: Texts in Applied Mathematics (Book 54)
  • Hardcover: 502 pages
  • Publisher: Springer; 2008 edition (December 18, 2007)
  • Language: English
  • ISBN-10: 0387720650
  • ISBN-13: 978-0387720654
  • Product Dimensions: 6.1 x 1.1 x 9.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #437,825 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: Hardcover Verified Purchase
This is not a book for the beginners. It will be easier for you if you have previous knowledge about similar methods. In the book you will find a lot of examples and useful codes which you can adapt to your own problems, but if you want to learn introductory theory behind method than you will have to search somewhere else.
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Format: Hardcover Verified Purchase
This is a very dense introduction to this material, but it does seem to cover what is necessary. I had significant help from my research advisor and felt that I did thoroughly learn the material presented in the first four chapters.
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Format: Hardcover Verified Purchase
This is a great book. As a grad student doing my dissertation in the area of numerical analysis of PDEs, I have been living in this book for the last couple of years. The exposition is very clear and the authors go into many of the bloody details in getting a DG code up and running while also keeping up with the theory. There are a couple of typos, so be sure to check out the updates available on the authors' websites.

Highly recommended to anyone getting into this subject matter.
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