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

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

    Posted By: step778
    Date: 21 Feb 2017 11:57:09
    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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