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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

Posted By: step778
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

Ernst Hairer, Christian Lubich, Gerhard Wanner, "Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations"
2006 | pages: 659 | ISBN: 3540306633 | PDF | 13,0 mb

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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