22 citations · 45 across the 14 of their papers we have counts for
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math.NA2018
Energy preserving methods on Riemannian manifolds
Elena Celledoni, Sølve Eidnes, Brynjulf Owren +1
The energy preserving discrete gradient methods are generalized to finite-dimensional Riemannian manifolds by definition of a discrete approximation to the Riemannian gradient, a r…
math.NA2018
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows
Elena Celledoni, Sølve Eidnes, Brynjulf Owren +1
This paper concerns an extension of discrete gradient methods to finite-dimensional Riemannian manifolds termed discrete Riemannian gradients, and their application to dissipative…