Geometric Numerical Integration
Structure-Preserving Algorithms for Ordinary Differential Equations
(Sprache: Englisch)
A unique feature of the book is the numerical treatment of KAM theory. There is no other book which deals with this.
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Produktinformationen zu „Geometric Numerical Integration “
A unique feature of the book is the numerical treatment of KAM theory. There is no other book which deals with this.
Klappentext zu „Geometric Numerical Integration “
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 a
theory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.
Inhaltsverzeichnis zu „Geometric Numerical Integration “
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.
Autoren-Porträt von Ernst Hairer, Christian Lubich, Gerhard Wanner
Gerhard Wanner is the former President of Section VII of the Swiss Academy of Natural Sciences, former Head of Department of Mathematics at the University of Geneva, and former President of the Swiss Mathematical Society. He is the author of several books.
Bibliographische Angaben
- Autoren: Ernst Hairer , Christian Lubich , Gerhard Wanner
- 2010, 2nd ed. Pr., 644 Seiten, Maße: 15,6 x 23,3 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 364205157X
- ISBN-13: 9783642051579
- Erscheinungsdatum: 11.03.2010
Sprache:
Englisch
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