G. Quispel

activity

20002026

most citedSymbolic Computation of Lax Pairs of Partial Difference Equations Using Consistency Around the Cube

53 citations · 187 across the 29 of their papers we have counts for

collaborators

Showing 2023 · math.DSShow all

2 papers · 2 filters

math.DS2023

Measure preservation and integrals for Lotka--Volterra tree-systems and their Kahan discretisation

Peter H. van der Kamp, Robert I. McLachlan, David I. McLaren +1

We show that any Lotka--Volterra tree-system associated with an $n$ -vertex tree, as introduced in Quispel et al., J. Phys. A 56 (2023) 315201, preserves a rational measure. We also…

math.DS2023

Birational maps from polarization and the preservation of measure and integrals

Robert I McLachlan, David I McLaren, G R W Quispel

The main result of this paper is the discretization of Hamiltonian systems of the form $x ¨ = - K \nabla W (x)$ , where $K$ is a constant symmetric matrix and $W\colon\mathbb{R}^n…