1 citations · 1 across the 3 of their papers we have counts for
8 papers
Finite element discretization of Yang--Mills connections
Geir Bogfjellmo, Charles Curry, Andreas Myklebust
We propose a finite element method for Yang--Mills connections on nontrivial principal bundles with abelian structure group. Local connection forms satisfy internal jump conditions…
The Prytz connections
Geir Bogfjellmo, Charles Curry, Sylvie Vega-Molino
The Prytz planimeter is a simple mechanical device that historically was used to approximate areas of plane regions. In this article, we present a mathematical description and anal…
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…
Collective Symplectic Integrators on
Geir Bogfjellmo
A novel symplectic integrator for Hamiltonian equations on $S_2^n \times T^{\ast} \RR^m$ is developed and studied. Partitioned Runge--Kutta methods for Hamiltonian systems on produ…
Overview of (pro-)Lie group structures on Hopf algebra character groups
Geir Bogfjellmo, Rafael Dahmen, Alexander Schmeding
Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum…
The geometry of characters of Hopf algebras
Geir Bogfjellmo, Alexander Schmeding
Character groups of Hopf algebras appear in a variety of mathematical contexts such as non-commutative geometry, renormalisation of quantum field theory, numerical analysis and the…