ISBN 9783642051579 | 364205157X Textbooks - "Geometric Numerical Integration Structure&Preserving Algorithms for Ordinary Differential Equations Springer Series in Computational Mathematics" by Gerhard Wanner Ernst Hairer Christian Lubich Gerhard Hairer Ernst Lubich Christian and Wanner

Authors: Gerhard Wanner - Ernst Hairer - Christian Lubich - Gerhard - Hairer - Ernst; Lubich - Chri…
ISBN 10: 364205157X
ISBN 13: 9783642051579
Edition: 2nd ed. 2006. 2nd pr
Release: March 8, 2010
Format: Paperback (662 pages)
List Price: $89.95
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List Price: $89.95

Tags: Science, Mathematics, General,

Book 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 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.

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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)