Téléchargez le livre : Geometric Numerical Integration

Geometric Numerical Integration

Structure-Preserving Algorithms for Ordinary Differential Equations de

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Éditeur :

Springer


Collection :

Springer Series in Computational Mathematics

Paru le : 2006-05-18

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Description
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.
Pages
644 pages
Collection
Springer Series in Computational Mathematics
Parution
2006-05-18
Marque
Springer
EAN papier
9783540306634
EAN PDF
9783540306665
Informations sur l'ebook
Nombre pages copiables
6
Nombre pages imprimables
64
Taille du fichier
17777 Ko
Prix
220,49 €

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