Title: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
Publisher: Springer Verlag
Publication Date: 2006
Language: English
ISBN 10: 3540306633
ISBN 13: 9783540306634
Binding: Hardcover
Edition: 2nd Edition
Condition: Brand New

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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 analysis...

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