This package contains some code in Julia and Matlab for obtaining the figures presented in the article:
[ ] A. Laurent, G. Vilmart
      Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds,
      Found. Comput. Math. 22, 649–695 (2022).

Please cite the above paper when using this package for research ! :-)

The three Julia files "Script_cluster_XXX.jl", together with the functions file "Functions.jl", can be run on a cluster to obtain the error for the invariant measure of the integrators presented in the paper.
The Matlab file "Plot_convergence_curves.m" plots the figures 1 and 2 of the article, and the file "Results_SL.m" gives the values of Table 1.

The data used in the article is stored in the "Data" folder.

