79 citations · 638 across the 61 of their papers we have counts for
5 papers · 1 filter
Integrability of Nonholonomically Coupled Oscillators
Klas Modin, Olivier Verdier
We study a family of nonholonomic mechanical systems. These systems consist of harmonic oscillators coupled through nonholonomic constraints. In particular, the family includes the…
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.…
Generalised Hunter-Saxton equations, optimal information transport, and factorisation of diffeomorphisms
Klas Modin
We study geodesic equations for a family of right-invariant Riemannian metrics on the group of diffeomorphisms of a compact manifold. The metrics descend to Fisher's information me…
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…