3 papers
math.NA2018
Parallelisation, initialisation, and boundary treatments for the diamond scheme
Stephen R Marsland, Robert I McLachlan, Matthew C Wilkins
We study a class of general purpose linear multisymplectic integrators for Hamiltonian wave equations based on a diamond-shaped mesh. On each diamond, the PDE is discretized by a s…
math.NA2014
The multisymplectic diamond scheme
R I McLachlan, M C Wilkins
We introduce a class of general purpose linear multisymplectic integrators for Hamiltonian wave equations based on a diamond-shaped mesh. On each diamond, the PDE is discretized by…
math.NA2012
Geometric Generalisations of SHAKE and RATTLE
Robert I. McLachlan, Klas Modin, Olivier Verdier +1
A geometric analysis of the Shake and Rattle methods for constrained Hamiltonian problems is carried out. The study reveals the underlying differential geometric foundation of the…