18 citations · 48 across the 6 of their papers we have counts for
6 papers
The Lie derivative and Noether's theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators
Adrien Laurent
The aromatic bicomplex is an algebraic tool based on aromatic Butcher trees and used in particular for the explicit description of volume-preserving affine-equivariant numerical in…
The universal equivariance properties of exotic aromatic B-series
Adrien Laurent, Hans Munthe-Kaas
The exotic aromatic Butcher series were originally introduced for the calculation of order conditions for the high order numerical integration of ergodic stochastic differential eq…
A uniformly accurate scheme for the numerical integration of penalized Langevin dynamics
Adrien Laurent
In molecular dynamics, penalized overdamped Langevin dynamics are used to model the motion of a set of particles that follow constraints up to a parameter . The most u…
Order conditions for sampling the invariant measure of ergodic stochastic differential equations on manifolds
Adrien Laurent, Gilles Vilmart
We derive a new methodology for the construction of high order integrators for sampling the invariant measure of ergodic stochastic differential equations with dynamics constrained…
Multirevolution integrators for differential equations with fast stochastic oscillations
Adrien Laurent, Gilles Vilmart
We introduce a new methodology based on the multirevolution idea for constructing integrators for stochastic differential equations in the situation where the fast oscillations the…
Exotic aromatic B-series for the study of long time integrators for a class of ergodic SDEs
Adrien Laurent, Gilles Vilmart
We introduce a new algebraic framework based on a modification (called exotic) of aromatic Butcher-series for the systematic study of the accuracy of numerical integrators for the…