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09/12/2023
Measure preservation and integrals for Lotka–Volterra T-systems and their Kahan discretisation
We show that any Lotka–Volterra T-system associated with an n-vertex tre...
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09/02/2023
An Elementary Construction of Modified Hamiltonians and Modified Measures of 2D Kahan Maps
We show how to construct in an elementary way the invariant of the KHK d...
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03/08/2023
Birational maps from polarization and the preservation of measure and integrals
The main result of this paper is the discretization of Hamiltonian syste...
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12/29/2022
Discrete gradients in short-range molecular dynamics simulations
Discrete gradients (DG) or more exactly discrete gradient methods are ti...
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04/13/2021
Deducing properties of ODEs from their discretization
We show that some hard to detect properties of quadratic ODEs (eg certai...
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11/08/2019