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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31) - Softcover
Synopsis
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...
Review
From the reviews of the second edition:
"This book is highly recommended for advanced courses in numerical methods for ordinary differential equations as well as a reference for researchers/developers in the field of geometric integration, differential equations in general and related subjects. It is a must for academic and industrial libraries." -- MATHEMATICAL REVIEWS
"The second revised edition of the monograph is a fine work organized in fifteen chapters,...
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- PublisherSpringer
- Publication date2010
- ISBN 10 364205157X
- ISBN 13 9783642051579
- BindingPaperback
- LanguageEnglish
- Edition number2
- Number of pages660
- Rating
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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31)
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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics, 31)
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Geometric Numerical Integration
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Springer Berlin Heidelberg, 2010
ISBN 10: 364205157X
ISBN 13: 9783642051579
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Condition: 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. Seller Inventory # 5044529
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Geometric Numerical Integration
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Geometric Numerical Integration
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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics (31))
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Geometric Numerical Integration : Structure-Preserving Algorithms for Ordinary Differential Equations
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Springer, Berlin, Springer Berlin Heidelberg, Springer, 2010
ISBN 10: 364205157X
ISBN 13: 9783642051579
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Taschenbuch. Condition: 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. Seller Inventory # 9783642051579
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Geometric Numerical Integration
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