Accelerated finite difference schemes for stochastic partial differential equations in the whole space

Istvan Gyongy, Nicolai Krylov

Published 2010-06-07Version 1

We give sufficient conditions under which the convergence of finite difference approximations in the space variable of the solution to the Cauchy problem for linear stochastic PDEs of parabolic type can be accelerated to any given order of convergence by Richardson's method.