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...
Tallennettuna:
| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Painos: | 2nd edition. |
| Sarja: | Springer Series in Computational Mathematics
31 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
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 |
Sisällysluettelo:
- 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