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Tensor Spaces and Numerical Tensor Calculus (Springer Series in Computational Mathematics, Vol. 42) - Hardcover
Synopsis
Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc.
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About the Author
The author is working in the field of numerical mathematics for partial differential equations and integral equations. He has published monographs, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and about the technique of hierarchical matrices.
Review
“The present book Tensor spaces and numerical tensor calculus by Wolfgang Hackbusch to a large extent fills the gap between theory on finite-dimensional tensor spaces and tensor computations. It also gives a comprehensive overview of numerical tensor computations. ... the book is most useful as a (very rich) source book for researchers in the area. It might also be used as a textbook for a Ph.D. course ... .” (Lars Eldén, Mathematical Reviews, October, 2015)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2012
- ISBN 10 3642280269
- ISBN 13 9783642280269
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages524
- Rating
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Springer Series in Computational Mathematics: Tensor Spaces and Numerical Tensor Calculus (Volume 42)
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Tensor Spaces and Numerical Tensor Calculus
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Springer Berlin Heidelberg Feb 2012, 2012
ISBN 10: 3642280269
ISBN 13: 9783642280269
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx.xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. 524 pp. Englisch. Seller Inventory # 9783642280269
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Tensor Spaces and Numerical Tensor Calculus
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ISBN 10: 3642280269
ISBN 13: 9783642280269
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx.xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. Seller Inventory # 9783642280269
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Tensor Spaces and Numerical Tensor Calculus
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ISBN 13: 9783642280269
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First monograph on this subject in the field of numerical mathematics Contains algebraic and functional analysis aspects of tensor spacesFocuses on the numerical treatment First monograph on this subject in the field of numerical. Seller Inventory # 5055430
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Tensor Spaces and Numerical Tensor Calculus (Springer Series in Computational Mathematics, Vol. 42)
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Tensor Spaces and Numerical Tensor Calculus
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