%0 Journal Article %T Finite Difference Schemes for Linear Stochastic Integro-Differential Equations %A Konstantinos Dareiotis %A James-Michael Leahy %J Mathematics %D 2013 %I arXiv %X We study the rate of convergence of an explicit and an implicit-explicit finite difference scheme for linear stochastic integro-differential equations of parabolic type arising in non-linear filtering of jump-diffusion processes. We show that the rate is of order one in space and order one-half in time. %U http://arxiv.org/abs/1310.4117v4