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math.NA2014★ 20 cited
B-series methods are exactly the affine equivariant methods
Robert I. McLachlan, Klas Modin, Hans Munthe-Kaas +1
Butcher series, also called B-series, are a type of expansion, fundamental in the analysis of numerical integration. Numerical methods that can be expanded in B-series are defined…
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…