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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications: 54 (Texts in Applied Mathematics) - Softcover
Inhaltsangabe
The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. This is the first text on DG-FEM, suitable both as a textbook and for self study. All key theoretical results are either derived or discussed, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, orthogonal polynomials etc. Through embedded Matlab codes, the algorithms are discussed and implemented for a number of classic systems of PDE’s. Attention is paid to both basic analysis and algorithmic issues. The three appendices contain an overview of orthogonal polynomials and associated library routines used throughout, a brief introduction to grid generation, and an overview of the associated software (where to get it, list of variables etc). A variety of exercises are included at the end of most chapters.
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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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- VerlagSpringer
- Erscheinungsdatum2010
- ISBN 10 1441924639
- ISBN 13 9781441924636
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten516
- Kontakt zum HerstellerNicht verfügbar
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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Application s (Texts in Applied Mathematics, 54)
Anbieter: Infinity Books Japan, Tokyo, TKY, Japan
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Paperback. Zustand: Very Good. This book offers an introduction to the key ideas, basic analysis, and effi cient implementation of discontinuous Galerkin finite element methods (DG-F EM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant re sults from approximation theory, convergence theory for numerical PDE's, an d orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Ma xwell's equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. Editorial Reviews Review From the reviews: "This book provides comprehensive coverage of the major aspects of the DG-F EM, from derivation, analysis and implementation of the method to simulatio n 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 cour se for students in computational and applied mathematics, physics and engin eering." -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, Bestandsnummer des Verkäufers RWARE0000062215
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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics, 54)
ISBN 10: 1441924639
ISBN 13: 9781441924636
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Paperback. Zustand: Good. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported Softcover reprint of hardcover 1st ed. 2008. Bestandsnummer des Verkäufers 1441924639-11-1
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Nodal Discontinuous Galerkin Methods
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First text on DG-FEM, suitable both as a textbook and for self sudyAttention to both basic analysis and algorithmic issuesEasily modified MATLAB library routinesEnables 1D-3D solution of PDEs in general geometriesExercises at . Bestandsnummer des Verkäufers 4172977
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Nodal Discontinuous Galerkin Methods
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE's, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE's: Maxwell's equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations. 516 pp. Englisch. Bestandsnummer des Verkäufers 9781441924636
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Nodal Discontinuous Galerkin Methods
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Springer New York, Springer New York Nov 2010, 2010
ISBN 10: 1441924639
ISBN 13: 9781441924636
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Taschenbuch. Zustand: Neu. Neuware -Mathematicsisplayinganevermoreimportantroleinthephysicalandbiol- ical sciences, provoking a blurring of boundaries between scienti c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and tea- ing, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose ofthistextbookseriesistomeetthecurrentandfutureneedsoftheseadvances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface The algorithms, methods, and Matlab implementations described in this text have been developed during almost a decade of collaboration. During this time we have worked to simplify the basic methods and make the ideas more accessible to a broad audience. Many people, both students and colleagues, have helped during the development of this project and we are grateful for all their suggestions and input.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 516 pp. Englisch. Bestandsnummer des Verkäufers 9781441924636
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Nodal Discontinuous Galerkin Methods : Algorithms, Analysis, and Applications
Verlag:
Springer New York, Springer New York, 2010
ISBN 10: 1441924639
ISBN 13: 9781441924636
Neu
Taschenbuch
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Mathematicsisplayinganevermoreimportantroleinthephysicalandbiol- ical sciences, provoking a blurring of boundaries between scienti c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and tea- ing, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose ofthistextbookseriesistomeetthecurrentandfutureneedsoftheseadvances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface The algorithms, methods, and Matlab implementations described in this text have been developed during almost a decade of collaboration. During this time we have worked to simplify the basic methods and make the ideas more accessible to a broad audience. Many people, both students and colleagues, have helped during the development of this project and we are grateful for all their suggestions and input. Bestandsnummer des Verkäufers 9781441924636
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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (Texts in Applied Mathematics, 54)
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