Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations

Hairer, Ernst, Lubich, Christian, Wanner, Gerhard

ISBN 10: 3540430032 / ISBN 13: 9783540430032

Published by Springer, 2004

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Like New. Seller Inventory # D8S0-3-M-3540430032-4

Bibliographic Details

Title: Geometric Numerical Integration: Structure ...

Publisher: Springer

Publication Date: 2004

Binding: Hardcover

Condition: Like New

Book Type: book

About this title

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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