Date of Original Version
We consider the stationary-phase Monte Carlo method and a variety of related approaches. The stationary-phase Monte Carlo method is aimed at the generic problem of performing high-dimensional integrations of rapidly oscillatory integrands. Real time numerical path integration is one important class of applications where such problems arise. We examine the relationship between the stationary-phase Monte Carlo approach and the recent work of Makri and Miller and of Filinov.
J.D. Doll and D.L. Freeman, “A Comparative Analysis of Stationary Phase Monte Carlo Methods,” J. Phys. Chem., 92, 3278 (1988).