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Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations - Hardcover
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
"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
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- PublisherSpringer
- Publication date2004
- ISBN 10 3540430032
- ISBN 13 9783540430032
- BindingHardcover
- LanguageEnglish
- Number of pages536
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Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
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Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
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