Poisson integrators for Volterra lattice equations

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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

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Graduate School of Applied Mathematics, Article

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Citation Formats

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.