An unconventional symplectic integrator of W. Kahan

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Abstract

Among other unconventional numerical methods, W. Kahan has suggested a discretization of a simple Lotka-Volterra system with the property that the computed points do not spiral. We explain this behaviour by showing that Kahan's method is symplectic with respect to a noncanonical symplectic structure. © 1994.

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Sanz-Serna, J. M. (1994). An unconventional symplectic integrator of W. Kahan. Applied Numerical Mathematics, 16(1–2), 245–250. https://doi.org/10.1016/0168-9274(94)00030-1

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