4 citations · 6 across the 2 of their papers we have counts for
2 papers
math.NA2015★ 2 cited
New insights on numerical error in symplectic integration
Hugo Jiménez-Pérez, Jean-Pierre Vilotte, Barbara Romanowicz
We implement and investigate the numerical properties of a new family of integrators connecting both variants of the symplectic Euler schemes, and including an alternative to the c…
math-ph2015★ 4 cited
On the Poincaré's generating function and the symplectic mid-point rule
Hugo Jiménez-Pérez, Jean-Pierre Vilotte, Barbara Romanowicz
The use of Liouvillian forms to obtain symplectic maps for constructing numerical integrators is a natural alternative to the method of generating functions, and provides a deeper…