130 citations · 450 across the 22 of their papers we have counts for
3 papers · 1 filter
On the Lie enveloping algebra of a post-Lie algebra
Kurusch Ebrahimi-Fard, Alexander Lundervold, Hans Munthe-Kaas
We consider pairs of Lie algebras and , defined over a common vector space, where the Lie brackets of and are related via a post-Lie algebra structure. T…
B-series methods are exactly the affine equivariant methods
Robert I. McLachlan, Klas Modin, Hans Munthe-Kaas +1
Butcher series, also called B-series, are a type of expansion, fundamental in the analysis of numerical integration. Numerical methods that can be expanded in B-series are defined…
Integrators on homogeneous spaces: Isotropy choice and connections
Hans Munthe-Kaas, Olivier Verdier
We consider numerical integrators of ODEs on homogeneous spaces (spheres, affine spaces, hyperbolic spaces). Homogeneous spaces are equipped with a built-in symmetry. A numerical i…