  A numerical approach for the approximation of inertial manifolds of
stochastic evolutionary equations with multiplicative noise is presented and
illustrated. After splitting the stochastic evolutionary equations into a
backward and a forward part, a numerical scheme is devised for solving this
backward-forward stochastic system, and an ensemble of graphs representing the
inertial manifold is consequently obtained. This numerical approach is tested
in two illustrative examples: one is for a system of stochastic ordinary
differential equations and the other is for a stochastic partial differential
equation.
