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...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| シリーズ: | Springer Series in Computational Mathematics
42 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
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 |
目次:
- 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