Tensor Spaces and Numerical Tensor Calculus (Springer Series in Computational Mathematics)

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9783642280269: Tensor Spaces and Numerical Tensor Calculus (Springer Series in Computational Mathematics)
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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. ?

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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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Hackbusch, Wolfgang
Verlag: Springer-Verlag Gmbh Mrz 2012 (2012)
ISBN 10: 3642280269 ISBN 13: 9783642280269
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Buchbeschreibung Springer-Verlag Gmbh Mrz 2012, 2012. Buch. Buchzustand: Neu. 241x166x35 mm. 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. 500 pp. Englisch. Artikel-Nr. 9783642280269

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