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Numerical Analysis for Stochastic Partial Differential Delay Equations with Jumps

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  • Yan Li
  • Junhao Hu

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:128625
DOI: 10.1155/2013/128625
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