303 citations · 717 across the 42 of their papers we have counts for
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math.NA2014★ 5 cited
Passivity-preserving splitting methods for rigid body systems
Elena Celledoni, Eirik Hoel Høiseth, Nataliya Ramzina
A rigid body model for the dynamics of a marine vessel, used in simulations of offshore pipe-lay operations, gives rise to a set of ordinary differential equations with controls. T…
nlin.SI2014★ 35 cited
Integrability properties of Kahan's method
Elena Celledoni, Robert I McLachlan, David I McLaren +2
We present several novel examples of integrable quadratic vector fields for which Kahan's discretization method preserves integrability. Our examples include generalized Suslov and…