Tensor Spaces and Numerical Tensor Calculus [ Livre] / Wolfgang, Hackbusch
Langue: Anglais ; de l'oeuvre originale, Anglais.Mention d'édition: Second editionPublication : Springer Nature Switzerland AG, 2019Description : XXVIII, 605 pagesISBN: 9783030355531.Classification: 518 Analyse numérique, modélisation et calcul scientifiqueRésumé: Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd 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. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra..Sujet - Nom commun: Analyse numérique| Current location | Call number | Status | Notes | Date due | Barcode |
|---|---|---|---|---|---|
| ENS Rennes - Bibliothèque Mathématiques | 518 HAC (Browse shelf) | Available | 518 Analyse numérique, modélisation et calcul scientifique | 043871 |
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Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd 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. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.