Geometric numerical integration : structure-preserving algorithms for ordinary differential equations
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, com...
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 2nd edition. |
| Serie: | Springer Series in Computational Mathematics
31 |
| Soggetti: | |
| Accesso online: | 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: | • Geometric numerical integration, structure-preserving algorithms for ordinary differential equations, Ernst Hairer, Christian Lubich, Gerhard Wanner, 2nd edition, 2006, Berlin, Springer, 1 volume (xvii-644 pages), Springer series in computational mathematics, 978-3-540-30663-4 • Geometric Numerical Integration, Texte imprimé, 9783540818328 • Geometric numerical integration, structure-preserving algorithms for ordinary differential equations, Ernst Hairer, Christian Lubich, Gerhard Wanner, 2nd edition, 2006, Berlin, Springer, 1 volume (xvii-644 pages), Springer series in computational mathematics, 978-3-540-30663-4 • Geometric Numerical Integration, Texte imprimé, 9783642051579 |
| LEADER | 04882nam a22005177a 4500 | ||
|---|---|---|---|
| 001 | 938426 | ||
| 008 | 080410q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123129648 | ||
| 020 | |a 9783540306665 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.352 | ||
| 082 | |a 518 | ||
| 084 | |a 65Lxx. 2000 | ||
| 084 | |a 65P10. 2000 | ||
| 084 | |a 70Fxx. 2000 | ||
| 084 | |a 34Cxx. 2000 | ||
| 100 | 1 | |a Hairer, Ernst, |d 1949-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Geometric numerical integration : |b structure-preserving algorithms for ordinary differential equations |c Ernst Hairer, Gerhard Wanner, Christian Lubich. |
| 250 | |a 2nd edition. | ||
| 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 31 |x 2198-3712 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [617]-636 de l'édition imprimée. Notes bibliogr. Index | ||
| 505 | 1 | |a Examples and Numerical Experiments Numerical Integrators Order Conditions, Trees and B-Series Conservation of First Integrals and Methods on Manifolds Symmetric Integration and Reversibility Symplectic Integration of Hamiltonian Systems Non-Canonical Hamiltonian Systems Structure-Preserving Implementation Backward Error Analysis and Structure Preservation Hamiltonian Perturbation Theory and Symplectic Integrators Reversible Perturbation Theory and Symmetric Integrators Dissipatively Perturbed Hamiltonian and Reversible Systems Oscillatory Differential Equations with Constant High Frequencies Oscillatory Differential Equations with Varying High Frequencies Dynamics of Multistep Methods | |
| 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 Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods | ||
| 650 | |a Intégration numérique | ||
| 650 | |a Méthode de Runge-Kutta | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Systèmes hamiltoniens | ||
| 650 | |a Flots (dynamique différentiable) | ||
| 700 | 1 | |a Lubich, Christian, |d 1959-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Wanner, Gerhard, |d 1942- |4 aut | |
| 776 | 0 | |0 103176799 |t Geometric numerical integration |o structure-preserving algorithms for ordinary differential equations |f Ernst Hairer, Christian Lubich, Gerhard Wanner |e 2nd edition |d 2006 |c Berlin |n Springer |p 1 volume (xvii-644 pages) |s Springer series in computational mathematics |z 978-3-540-30663-4 | |
| 776 | 0 | |t Geometric Numerical Integration |b Texte imprimé |z 9783540818328 | |
| 776 | 0 | |0 103176799 |t Geometric numerical integration |o structure-preserving algorithms for ordinary differential equations |f Ernst Hairer, Christian Lubich, Gerhard Wanner |e 2nd edition |d 2006 |c Berlin |n Springer |p 1 volume (xvii-644 pages) |s Springer series in computational mathematics |z 978-3-540-30663-4 | |
| 776 | 0 | |t Geometric Numerical Integration |b Texte imprimé |z 9783642051579 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-30666-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-C8NPTRKL-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747899452 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/3-540-30666-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750912502 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/3-540-30666-8 |z Accès INSA CVL | |
| 997 | |0 938426 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||