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008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387720678
024 7 _a10.1007/978-0-387-72067-8
_2doi
035 _a978-0-387-72067-8
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
090 _amg
100 1 _aHesthaven, Jan S
_99127
245 1 0 _aNodal Discontinuous Galerkin Methods
_h[electronic resource]:
_bAlgorithms, Analysis, and Applications/
_cby Jan S. Hesthaven, Tim Warburton.
260 _aNew York:
_bSpringer New York,
_c2008.
300 _aXIV, 501 p.
_bdigital.
490 0 _aTexts in Applied Mathematics,
_x0939-2475;
_v54
505 0 _aIntroduction -- 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 .
520 _aThis 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 .
650 0 _aMathematics.
_943458
650 0 _aDifferential equations, Partial.
_943542
650 0 _aNumerical analysis.
_943492
650 0 _aMathematical physics.
_943632
650 0 _aEngineering.
_937750
697 _aMatemáticas Gerais-
_x(inclusive alguns textos elementares sobre assuntos específicos)
_923752
700 1 _aWarburton, Tim
_99128
710 1 _aSpringerLink (Online service).
_98857
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387720654
830 0 _aTexts in applied mathematics;
_v54
_98198
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-72067-8
942 _2impa
_cEBK
999 _aHESTHAVEN, Jan S; WARBURTON, Tim. <b> Nodal Discontinuous Galerkin Methods: </b> Algorithms, Analysis, and Applications. New York: Springer New York, 2008. XIV, 501 p (Texts in Applied Mathematics, 0939-2475 ; 54). ISBN 9780387720678. Disponível em: <http://dx.doi.org/10.1007/978-0-387-72067-8 >
_c38473
_d38473