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Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given.
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Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given.
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- PublisherSpringer
- Publication date2010
- ISBN 10 3642074820
- ISBN 13 9783642074820
- BindingPaperback
- LanguageEnglish
- Number of pages367
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Higher-Order Numerical Methods for Transient Wave Equations
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Springer Berlin Heidelberg Dez 2010, 2010
ISBN 10: 3642074820
ISBN 13: 9783642074820
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [.] I recommend the book for its clear and cogent coverage of the material selected by its author.' --Physics Today, March 2003 368 pp. Englisch. Seller Inventory # 9783642074820
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Higher-Order Numerical Methods for Transient Wave Equations
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ISBN 10: 3642074820
ISBN 13: 9783642074820
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given. Seller Inventory # 9783642074820
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Higher-Order Numerical Methods for Transient Wave Equations
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. No comparable text on the numerical treatment of wave equations is presently availableThe author presents a host of modern numerical techniques of high accuracy and stability so far not accessible in book form To my knowledge [this] is the first . Seller Inventory # 5046550
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Higher-Order Numerical Methods for Transient Wave Equations
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Higher-Order Numerical Methods for Transient Wave Equations
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ISBN 10: 3642074820
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Taschenbuch. Condition: Neu. Neuware -Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming from the propagative character of the solution, the author constructs higher-order numerical methods to reduce the size of the meshes, and consequently the time and space stepping, dramatically improving storage and computing times. This book surveys higher-order finite difference methods and develops various mass-lumped finite (also called spectral) element methods for the transient wave equations, and presents the most efficient methods, respecting both accuracy and stability for each sort of problem. A central role is played by the notion of the dispersion relation for analyzing the methods. The last chapter is devoted to unbounded domains which are modeled using perfectly matched layer (PML) techniques. Numerical examples are given.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 368 pp. Englisch. Seller Inventory # 9783642074820
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Higher-Order Numerical Methods for Transient Wave Equations (Scientific Computation)
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Higher-Order Numerical Methods for Transient Wave Equations (Scientific Computation)
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