Poisson integrators for Volterra lattice equations


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Ergenc T., Karasozen B.

APPLIED NUMERICAL MATHEMATICS, cilt.56, ss.879-887, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 56 Konu: 6
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.apnum.2005.06.009
  • Dergi Adı: APPLIED NUMERICAL MATHEMATICS
  • Sayfa Sayıları: ss.879-887

Özet

The Volterra lattice equations are completely integrable and possess bi-Hamiltonian structure. They are integrated using partitioned Lobatto IIIA-B methods which preserve the Poisson structure. Modified equations are derived for the symplectic Euler and second order Lobatto IIIA-B method. Numerical results confirm preservation of the corresponding Hamiltonians, Casimirs, quadratic and cubic integrals in the long-term with different orders of accuracy. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.