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Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations von Hairer, Ernst (eBook)

  • Erscheinungsdatum: 18.05.2006
  • Verlag: Springer-Verlag
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Geometric Numerical Integration

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.

Produktinformationen

    Format: PDF
    Kopierschutz: AdobeDRM
    Seitenzahl: 660
    Erscheinungsdatum: 18.05.2006
    Sprache: Englisch
    ISBN: 9783540306665
    Verlag: Springer-Verlag
    Größe: 17287 kBytes
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