Numerical Analysis for Stochastic Partial Differential Delay Equations with Jumps

الملخص EN

We investigate the convergence rate of Euler-Maruyama method for a class of stochastic partial differential delay equations driven by both Brownian motion and Poisson point processes.

We discretize in space by a Galerkin method and in time by using a stochastic exponential integrator.

We generalize some results of Bao et al.

(2011) and Jacob et al.

(2009) in finite dimensions to a class of stochastic partial differential delay equations with jumps in infinite dimensions.