Publisher description for Geometric numerical integration : structure-preserving algorithms for ordinary differential equations / Ernst Hairer, Christian Lubich, Gerhard Wanner.


Bibliographic record and links to related information available from the Library of Congress catalog


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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 a
theory 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.


Library of Congress subject headings for this publication:
Numerical integration.
Hamiltonian systems.
Differential equations -- Numerical solutions.