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 · Englisch · Taschenbuch · 4 Ausgaben
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Beschreibung

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.

Buchdetails

Format Taschenbuch
Seiten 660 Seiten
Sprache Englisch
Veröffentlicht Mär 11, 2010
Verlag Springer
Ausgaben 4 Ausgaben
ISBN-10 364205157X
ISBN-13 9783642051579
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