10 citations · 36 across the 10 of their papers we have counts for
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Numerical Methods for Stochastic Differential Equations
Joshua Wilkie
Stochastic differential equations (sdes) play an important role in physics but existing numerical methods for solving such equations are of low accuracy and poor stability. A gener…
Exact Stochastic Reformulation of Non-Relativistic Quantum Dynamics
Murat Cetinbas, Joshua Wilkie
We show that any non-relativistic quantum N-body dynamics problem with pairwise interactions can be exactly reformulated in terms of N well behaved 1-body stochastic density equati…
Variable stepsize Runge-Kutta methods for stochastic wave equations
Joshua Wilkie, Murat Cetinbas
We show that existing Runge-Kutta methods for ordinary differential equations (odes) can be modified to solve stochastic differential equations (sdes) with strong solutions provide…
Exact norm-conserving stochastic time-dependent Hartree-Fock
L. Tessieri, J. Wilkie, M. Cetinbas
We derive an exact single-body decomposition of the time-dependent Schroedinger equation for N pairwise-interacting fermions. Each fermion obeys a stochastic time-dependent norm-pr…