Tensor Spaces and Numerical Tensor Calculus / Springer Series in Computational Mathematics Bd.42 (PDF)

Name: Tensor Spaces and Numerical Tensor Calculus / Springer Series in Computational Mathematics Bd.42
Brand: Springer-Verlag GmbH
SKU: 38772174
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(Sprache: Englisch)

Autor: Wolfgang Hackbusch

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Tensor Spaces and Numerical Tensor Calculus / Springer Series in Computational Mathematics Bd.42, Wolfgang Hackbusch

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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.

Autoren-Porträt von Wolfgang Hackbusch

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.

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Bibliographische Angaben

Autor: Wolfgang Hackbusch
2012, 2012, 500 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3642280277
ISBN-13: 9783642280276
Erscheinungsdatum: 23.02.2012

Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.

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Dateiformat: PDF
Grösse: 5.93 MB
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Englisch

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“The present book Tensor spaces and numerical tensorcalculus by Wolfgang Hackbusch to a large extent fills the gap between theoryon finite-dimensional tensor spaces and tensor computations. It also gives acomprehensive overview of numerical tensor computations. … the book is mostuseful as a (very rich) source book for researchers in the area. It might also beused as a textbook for a Ph.D. course … .” (Lars Eldén, Mathematical Reviews,October, 2015)

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