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math.NA2015
Travelling wave solutions of multisymplectic discretizations of semi-linear wave equations
Fleur McDonald, Robert I McLachlan, Brian E Moore +1
How well do multisymplectic discretisations preserve travelling wave solutions? To answer this question, the 5-point central difference scheme is applied to the semi-linear wave eq…
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…