3 papers
math.NA2021
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…
math.NA2019
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…
math.NA2018
Quasinorms in semilinear elliptic problems
James Jackaman, Tristan Pryer
In this note we examine the a priori and a posteriori analysis of discontinuous Galerkin finite element discretisations of semilinear elliptic PDEs with polynomial nonlinearity. We…