On the convergence of diffusion Monte Carlo in non-Euclidean spaces. II. Diffusion with sources and sinks

摘要

We test the second order Milstein method adapted to simulate diffusion in general compact Riemann manifolds on a number of systems characterized by nonconfining potential energy surfaces of increasing complexity. For the 2-sphere and more complex spaces derived from it, we compare the Milstein method with a number of other first and second order approaches. In each case tested, we find evidence that demonstrate the versatility and relative ease of implementation of the Milstein method derived in Part I. (C) 2015 AIP Publishing LLC.