Hierarchical Matrices : A Means to Efficiently Solve Elliptic Boundary Value Problems
Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be comput...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2008. |
| Saila: | Lecture Notes in Computational Science and Engineering
63 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
L'impression du document génère 302 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hierarchical matrices, a means to efficiently solve elliptic boundary value problems, with 45 figures and 53 tables, Mario Bebendorf, Berlin, Springer, 2008, 1 vol. (xvi-290 p.), Lecture Notes in Computational Science and Engineering, 978-3-540-77146-3 • Hierarchical Matrices, Texte imprimé, 9783540869931 • Hierarchical matrices, a means to efficiently solve elliptic boundary value problems, with 45 figures and 53 tables, Mario Bebendorf, Berlin, Springer, 2008, 1 vol. (xvi-290 p.), Lecture Notes in Computational Science and Engineering, 978-3-540-77146-3 |
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| 020 | |a 9783540771470 | ||
| 041 | 0 | |a eng | |
| 082 | |a 518 | ||
| 084 | |a 65F05. 2010 | ||
| 084 | |a 65F10. 2010 | ||
| 084 | |a 65F50. 2010 | ||
| 084 | |a 65N22. 2010 | ||
| 084 | |a 65N30. 2010 | ||
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| 100 | 1 | |a Bebendorf, Mario. | |
| 245 | 1 | 0 | |a Hierarchical Matrices : |b A Means to Efficiently Solve Elliptic Boundary Value Problems |c Mario Bebendorf. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Computational Science and Engineering |v 63 |x 2197-7100 | |
| 500 | |a L'impression du document génère 302 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Low-Rank Matrices and Matrix Partitioning Hierarchical Matrices Approximation of Discrete Integral Operators Application to Finite Element Discretizations | |
| 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 Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background. The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions.The theory is supported by many numerical experiments from real applications | ||
| 650 | |a Analyse numérique matricielle | ||
| 650 | |a Opérateurs intégraux | ||
| 650 | |a Matrices éparses | ||
| 650 | |a Équations aux dérivées partielles | ||
| 776 | 0 | |0 155071742 |t Hierarchical matrices |o a means to efficiently solve elliptic boundary value problems |o with 45 figures and 53 tables |f Mario Bebendorf |c Berlin |n Springer |d 2008 |p 1 vol. (xvi-290 p.) |s Lecture Notes in Computational Science and Engineering |z 978-3-540-77146-3 | |
| 776 | 0 | |t Hierarchical Matrices |b Texte imprimé |z 9783540869931 | |
| 776 | 0 | |0 155071742 |t Hierarchical matrices |o a means to efficiently solve elliptic boundary value problems |o with 45 figures and 53 tables |f Mario Bebendorf |c Berlin |n Springer |d 2008 |p 1 vol. (xvi-290 p.) |s Lecture Notes in Computational Science and Engineering |z 978-3-540-77146-3 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-77147-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-6767ZP6P-F |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747859361 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-77147-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750876859 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-77147-0 |z Accès INSA CVL | |
| 997 | |0 940558 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||