Nodal Discontinuous Galerkin Methods

Algorithms, Analysis, and Applications

  • Jan S. Hesthaven
  • Tim Warburton

Part of the Texts in Applied Mathematics book series (TAM, volume 54)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Pages 1-17
  3. Pages 19-41
  4. Pages 75-113
  5. Pages 115-168
  6. Pages 169-241
  7. Pages 243-330
  8. Pages 407-443
  9. Back Matter
    Pages 445-501

About this book

Introduction

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.

Keywords

3D Analysis Helmholtz equation MATLAB algorithm algorithms finite element method operator

Authors and affiliations

  • Jan S. Hesthaven
    • 1
  • Tim Warburton
    • 2
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Department of Computational and Applied MathematicsRice UniversityHoustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-72067-8
  • Copyright Information Springer-Verlag New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-72065-4
  • Online ISBN 978-0-387-72067-8
  • Series Print ISSN 0939-2475
  • About this book