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19982022
most citedPreserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method

303 citations · 612 across the 16 of their papers we have counts for

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math-ph2016★ 21 cited

Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization

Theodoros E. Kouloukas, G. R. W. Quispel, Pol Vanhaecke

We prove the Liouville and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization.

math-ph1998★ 103 cited

A unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with Lyapunov functions and/or first integrals

Robert I McLachlan, GRW Quispel, Nicolas Robidoux

Systems with a first integral (i.e., constant of motion) or a Lyapunov function can be written as ``linear-gradient systems'' for an appropriate matrix fu…