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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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08/12/2023
Runge–Kutta methods determined from extended phase space methods for Hamiltonian systems
We study two existing extended phase space integrators for Hamiltonian s...
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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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01/26/2023
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
Aromatic B-series were introduced as an extension of standard Butcher-se...
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01/11/2022
Backward error analysis for conjugate symplectic methods
The numerical solution of an ordinary differential equation can be inter...
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11/19/2021
Functional equivariance and conservation laws in numerical integration
Preservation of linear and quadratic invariants by numerical integrators...
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10/05/2021
Parametric study of E. coli incidence with reference to the New Zealand freshwater standards and the Manawatū-Whanganui region
The New Zealand National Policy Statement for Freshwater Management 2020...
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04/20/2021
Tuning symplectic integrators is easy and worthwhile
Many applications in computational physics that use numerical integrator...
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06/25/2020
Backward error analysis for variational discretisations of partial differential equations
In backward error analysis, an approximate solution to an equation is co...
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06/05/2020
Structure preserving deep learning
Over the past few years, deep learning has risen to the foreground as a ...
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08/13/2019