Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations

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Synopsis

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.

Book details

Edition:
2nd ed. 2006
Series:
Springer Series in Computational Mathematics (Book 31)
Author:
Ernst Hairer, Christian Lubich, Gerhard Wanner
ISBN:
9783540306665
Related ISBNs:
9783540306634
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-07-18
Usage restrictions:
Copyright
Copyright date:
2006
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Earth Sciences, Mathematics and Statistics, Nonfiction