NASep 23, 2017
Strong Convergence of Integrators for Nonequilibrium Langevin Dynamics`Matthew Dobson, Abdel Kader Geraldo
Several numerical schemes are proposed for the solution of Nonequilibrium Langevin Dynamics (NELD), and the rate of convergence is analyzed. Due to the special deforming boundary conditions used, care must be taken when using standard stochastic integration schemes, and we demonstrate a loss of convergence for a naive implementation. We then present several first and second order schemes, in the sense of strong convergence.