303 citations · 399 across the 20 of their papers we have counts for
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math.NA2015
Volume Preservation by Runge-Kutta Methods
Philipp Bader, David I McLaren, G. R. W. Quispel +1
It is a classical theorem of Liouville that Hamiltonian systems preserve volume in phase space. Any symplectic Runge-Kutta method will respect this property for such systems, but i…
math.NA2015★ 23 cited
Discretization of polynomial vector fields by polarization
Elena Celledoni, Robert I. McLachlan, David I. McLaren +2
A novel integration method for quadratic vector fields was introduced by Kahan in 1993. Subsequently, it was shown that Kahan's method preserves a (modified) measure and energy whe…