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Poisson integrators for Volterra lattice equations
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Date
2006-06-01
Author
Ergenc, T
Karasözen, Bülent
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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.
Subject Keywords
Volterra lattice equations
,
Korteweg-de Vries equation
,
Bi-Hamiltonian systems
,
Poisson structure
,
Lobatto methods
,
Symplectic Euler method
URI
https://hdl.handle.net/11511/32347
Journal
APPLIED NUMERICAL MATHEMATICS
DOI
https://doi.org/10.1016/j.apnum.2005.06.009
Collections
Graduate School of Applied Mathematics, Article
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T. Ergenc and B. Karasözen, “Poisson integrators for Volterra lattice equations,”
APPLIED NUMERICAL MATHEMATICS
, pp. 879–887, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32347.