Stochastic PDEs with multiplicative noise play a central role in the area of nonlinear filtering: A classical result shows that the condition al distribution of a partially observed diffussion has a version that is the solution of an SPDE with multiplicative noise.Whilst the qualit ative properties of these type of SPDEs are (mostly) understood,thei r numerical analysis is still in development.I will report on a class of "particle" methods for approximating the pathwise/strong solution of these SPDEs.