303 citations · 717 across the 42 of their papers we have counts for
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math.NA2017★ 15 cited
Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems
Elena Celledoni, Eirik Hoel Høiseth
In this paper we design discrete port-Hamiltonian systems systematically in two different ways, by applying discrete gradient methods and splitting methods respectively. The discre…
math.NA2017★ 6 cited
Two classes of quadratic vector fields for which the Kahan discretization is integrable
Elena Celledoni, Robert I. McLachlan, David I. McLaren +2
Applying Kahan's discretization to the reduced Nahm equations, we obtain two classes of integrable mappings.