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Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems: 63 (Lecture Notes in Computational Science and Engineering) - Tapa blanda
Sinopsis
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background.
The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.
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De la contraportada
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients.
Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions.The theory is supported by many numerical experiments from real applications.
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Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems (Lecture Notes in Computational Science and Engineering, 63)
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Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems (Lecture Notes in Computational Science and Engineering, 63)
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Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems (Lecture Notes in Computational Science and Engineering, 63)
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Hierarchical Matrices
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Springer Berlin Heidelberg, 2008
ISBN 10: 3540771468
ISBN 13: 9783540771463
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximation. Nº de ref. del artículo: 4900644
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Hierarchical Matrices
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Springer Berlin Heidelberg Jun 2008, 2008
ISBN 10: 3540771468
ISBN 13: 9783540771463
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background.The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications. 312 pp. Englisch. Nº de ref. del artículo: 9783540771463
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HIERARCHICAL MATRICES (PB)
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Hierarchical Matrices
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Hierarchical Matrices
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Jun 2008, 2008
ISBN 10: 3540771468
ISBN 13: 9783540771463
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Taschenbuch. Condición: Neu. Neuware -Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background.The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 312 pp. Englisch. Nº de ref. del artículo: 9783540771463
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Hierarchical Matrices : A Means to Efficiently Solve Elliptic Boundary Value Problems
Publicado por
Springer Berlin Heidelberg, 2008
ISBN 10: 3540771468
ISBN 13: 9783540771463
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background.The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications. Nº de ref. del artículo: 9783540771463
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Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems (Lecture Notes in Computational Science and Engineering (63))
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