Tensor spaces and numerical tensor calculus

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 trea...

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Главный автор: Hackbusch, Wolfgang, 1948-...., mathématicien
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Редактирование:1st ed. 2012.
Серии:Springer Series in Computational Mathematics 42
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Edition sous un autre format:• Tensor spaces and numerical tensor calculus, Wolfgang Hackbusch, Berlin, Springer, 2012, 1 volume (xxiv-500 pages), Springer series in computational mathematics, 978-3-642-28026-9
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Итог: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
Примечание:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642280276
ISSN:2198-3712
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