Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations - Couverture rigide

Hairer, Ernst; Lubich, Christian; Wanner, Gerhard

9783540306634: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

Couverture rigide

ISBN 10 : 3540306633 ISBN 13 : 9783540306634

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2006

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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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'�dition2006
ISBN 10 3540306633
ISBN 13 9783540306634
ReliureReli�
Langueanglais
Num�ro d'�dition2
Nombre de pages644
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Geometric Numerical Integration

Ernst Hairer|Christian Lubich|Gerhard Wanner

Edit� par Springer Berlin Heidelberg, 2006

ISBN 10 : 3540306633 ISBN 13 : 9783540306634

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents atheory of symplectic and symmetric methods, wh. N� de r�f. du vendeur 458667327

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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31)

Hairer, Ernst; Lubich, Christian; Wanner, Gerhard

Edit� par Springer, 2006

ISBN 10 : 3540306633 ISBN 13 : 9783540306634

Neuf Couverture rigide

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Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations

Ernst Hairer

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2006

ISBN 10 : 3540306633 ISBN 13 : 9783540306634

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9783540306634

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Geometric Numerical Integration

Ernst Hairer

Edit� par Springer Berlin Heidelberg Feb 2006, 2006

ISBN 10 : 3540306633 ISBN 13 : 9783540306634

Neuf Couverture rigide

impression � la demande

Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 664 pp. Englisch. N� de r�f. du vendeur 9783540306634

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Geometric Numerical Integration

Ernst Hairer

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 2006, 2006

ISBN 10 : 3540306633 ISBN 13 : 9783540306634

Neuf Couverture rigide

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Neuware -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. 664 pp. Englisch. N� de r�f. du vendeur 9783540306634

Contacter le vendeur