128 citations · 592 across the 51 of their papers we have counts for
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Geometric Generalisations of SHAKE and RATTLE
Robert I. McLachlan, Klas Modin, Olivier Verdier +1
A geometric analysis of the Shake and Rattle methods for constrained Hamiltonian problems is carried out. The study reveals the underlying differential geometric foundation of the…
On Hodge decomposition and conformal variational problems
Stephen Marsland, Robert McLachlan, Klas Modin +1
The main result is the identification of the orthogonal complement of the subalgebra of conformal vector field inside the algebra of all vector fields of a compact flat 2-manifold.…
Geodesic Warps by Conformal Mappings
Stephen Marsland, Robert McLachlan, Klas Modin +1
In recent years there has been considerable interest in methods for diffeomorphic warping of images, with applications e.g.\ in medical imaging and evolutionary biology. The origin…