Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
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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.
Format
Taschenbuch
Seiten
660 Seiten
Sprache
Englisch
Veröffentlicht
Mär 11, 2010
Verlag
Springer
Ausgaben
4 Ausgaben
ISBN-10
364205157X
ISBN-13
9783642051579