303 citations · 796 across the 37 of their papers we have counts for
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math.NA2015
Adaptive Energy Preserving Methods for Partial Differential Equations
Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm
A method for constructing first integral preserving numerical schemes for time-dependent partial differential equations on non-uniform grids is presented. The method can be used wi…
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…