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 · Engels · Paperback · 4 edities
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Beschrijving

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.

Boekdetails

Formaat Paperback
Pagina's 660 pagina's
Taal Engels
Gepubliceerd mrt. 11, 2010
Uitgever Springer
Edities 4 edities
ISBN-10 364205157X
ISBN-13 9783642051579
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