Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations: 31 (Springer Series in Computational Mathematics)

by Gerhard Wanner (Contributor), Christian Lubich (Contributor), Gerhard Wanner (Contributor), Christian Lubich (Contributor), Ernst Hairer (Author)

• New

  Paperback
  2010

  $209.74

  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.