303 citations · 717 across the 42 of their papers we have counts for
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math.NA2022★ 1 cited
Using aromas to search for preserved measures and integrals in Kahan's method
Geir Bogfjellmo, Elena Celledoni, Robert McLachlan +2
The numerical method of Kahan applied to quadratic differential equations is known to often generate integrable maps in low dimensions and can in more general situations exhibit pr…
math.NA2022★ 1 cited
Learning Hamiltonians of constrained mechanical systems
Elena Celledoni, Andrea Leone, Davide Murari +1
Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in c…