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

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

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2010 · Anglais · Broché · 4 éditions
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Description

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, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.

Détails du livre

Format Broché
Pages 660 pages
Langue Anglais
Publié mars 11, 2010
Éditeur Springer
Éditions 4 éditions
ISBN-10 364205157X
ISBN-13 9783642051579
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