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.
Book Details
Format
Paperback
Pages
660 pages
Language
English
Published
Mar 11, 2010
Publisher
Springer
Editions
4 editions
ISBN-10
364205157X
ISBN-13
9783642051579