Description |
1 online resource (xiv, 500 pages) : illustrations |
Series |
Texts in applied mathematics ; 54 |
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Texts in applied mathematics ; 54.
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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 |
In |
Springer eBooks |
Subject |
Galerkin methods.
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Finite element method.
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Differential equations, Partial.
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Engineering.
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engineering.
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Ecuaciones en derivadas parciales
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Método de elementos finitos
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Galerkin, Métodos de
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Differential equations, Partial
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Finite element method
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Galerkin methods
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Form |
Electronic book
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Author |
Warburton, Tim
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LC no. |
2007939528 |
ISBN |
9780387720678 |
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0387720677 |
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9780387720654 |
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0387720650 |
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6611337776 |
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9786611337773 |
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