128 citations · 592 across the 51 of their papers we have counts for
Showing 2017 · math.NAShow all
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math.NA2017★ 14 cited
Multisymplecticity of hybridizable discontinuous Galerkin methods
Robert I. McLachlan, Ari Stern
In this paper, we prove necessary and sufficient conditions for a hybridizable discontinuous Galerkin (HDG) method to satisfy a multisymplectic conservation law, when applied to a…
math.NA2017★ 5 cited
Currents and finite elements as tools for shape space
James Benn, Stephen Marsland, Robert I McLachlan +2
The nonlinear spaces of shapes (unparameterized immersed curves or submanifolds) are of interest for many applications in image analysis, such as the identification of shapes that…
math.NA2017★ 6 cited
Two classes of quadratic vector fields for which the Kahan discretization is integrable
Elena Celledoni, Robert I. McLachlan, David I. McLaren +2
Applying Kahan's discretization to the reduced Nahm equations, we obtain two classes of integrable mappings.