Tensor spaces and numerical tensor calculus /

<p>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,<br>a particular tensor calculus...

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Bibliographic Details
Main Author: Hackbusch, Wolfgang (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012.
Series:Springer Series in Computational Mathematics 42
Subjects:
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Summary:<p>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,<br>a particular tensor calculus is needed to treat such problems.<br>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.<br></p>
Physical Description:1 online resource (XXIV, 500 pages) 9 illustration., 3 illustration. in color., digital.
ISBN:9783642280276
ISSN:0179-3632