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

ISBN: 364205157X

ISBN13: 9783642051579

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

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Format: Paperback

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Book Overview

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...

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