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Book Cover
E-book
Author Hesthaven, Jan S.

Title Nodal discontinuous Galerkin methods : algorithms, analysis, and applications / Jan S. Hesthaven, Tim Warburton
Published New York : Springer, [2008]
©2008
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Description 1 online resource (xiv, 500 pages) : illustrations
Series Texts in applied mathematics ; 54
Texts in applied mathematics ; 54
Contents Introduction -- The Key Ideas -- Making It Work in One Dimension -- Insight Through Theory -- Nonlinear Problems -- Beyond One Dimension -- Higher-Order Operators -- Towards More Advanced Topics -- Briefly on Three-Dimensional Extensions -- Appendix A: Jacobi Polynomials and Beyond -- Appendix B: Briefly on Grid Generation -- Appendix C: Software and Variables -- References
Summary "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."--Jacket
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Galerkin methods.
Finite element method.
Differential equations, Partial.
Form Electronic book
Author Warburton, Tim.
LC no. 2007939528
ISBN 0387720650 (hbk.)
0387720677
6611337776
9780387720654 (hbk.)
9780387720678
9786611337773