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...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2012. |
| Col·lecció: | Springer Series in Computational Mathematics
42 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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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| 020 | |a 9783642280276 | ||
| 041 | 0 | |a eng | |
| 082 | |a 518 | ||
| 100 | 1 | |a Hackbusch, Wolfgang, |d 1948-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Tensor spaces and numerical tensor calculus |c by Wolfgang Hackbusch. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Series in Computational Mathematics |v 42 |x 2198-3712 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Part I: Algebraic Tensors Introduction Matrix Tools Algebraic Foundations of Tensor Spaces Part II: Functional Analysis of Tensor Spaces Banach Tensor Spaces General Techniques Minimal Subspaces.-Part III: Numerical Treatment r-Term Representation Tensor Subspace Represenation r-Term Approximation Tensor Subspace Approximation.-Hierarchical Tensor Representation Matrix Product Systems Tensor Operations Tensorisation Generalised Cross Approximation Applications to Elliptic Partial Differential Equations Miscellaneous Topics References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Calcul tensoriel | ||
| 650 | |a Algèbre tensorielle | ||
| 776 | 0 | |0 160326508 |t Tensor spaces and numerical tensor calculus |f Wolfgang Hackbusch |c Berlin |n Springer |d 2012 |p 1 volume (xxiv-500 pages) |s Springer series in computational mathematics |z 978-3-642-28026-9 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-MWT0WBL3-K |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750590289 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-28027-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753952203 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-28027-6 |z Accès INSA CVL | |
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