143 citations · 757 across the 54 of their papers we have counts for
14 papers · 1 filter
Invariant Variational Schemes for Ordinary Differential Equations
Alex Bihlo, James Jackaman, Francis Valiquette
We propose a novel algorithmic method for constructing invariant variational schemes of systems of ordinary differential equations that are the Euler-Lagrange equations of a variat…
Selective decay for the rotating shallow-water equations with a structure-preserving discretization
Rüdiger Brecht, Werner Bauer, Alexander Bihlo +2
Numerical models of weather and climate critically depend on long-term stability of integrators for systems of hyperbolic conservation laws. While such stability is often obtained…
Conservative Integrators for Many-body Problems
Andy T. S. Wan, Alexander Bihlo, Jean-Christophe Nave
Conservative symmetric second-order one-step schemes are derived for dynamical systems describing various many-body systems using the Discrete Multiplier Method. This includes cons…
On the development of symmetry-preserving finite element schemes for ordinary differential equations
Alex Bihlo, James Jackaman, Francis Valiquette
In this paper we introduce a procedure, based on the method of equivariant moving frames, for formulating continuous Galerkin finite element schemes that preserve the Lie point sym…
Variational integrator for the rotating shallow-water equations on the sphere
Rüdiger Brecht, Werner Bauer, Alexander Bihlo +2
We develop a variational integrator for the shallow-water equations on a rotating sphere. The variational integrator is built around a discretization of the continuous Euler-Poinca…
Symmetry-preserving finite element schemes: An introductory investigation
Alexander Bihlo, Francis Valiquette
Using the method of equivariant moving frames, we present a procedure for constructing symmetry-preserving finite element methods for second-order ordinary differential equations.…