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 exponent... View more
Da Prato, G., Zabczyk, J..
Stochastic Equations in Infinite Dimensions. 1992; 44
Stability of Infinite Dimensional Stochastic Differential Equations with Applications. 2004
Luo, Q., Deng, F., Bao, J., Zhao, B., Fu, Y.. Stabilization of stochastic Hopfield neural network with distributed parameters.
Science in China F. 2004; 47 (6): 752-762
Luo, Q., Deng, F., Mao, X., Bao, J., Zhang, Y.. Theory and application of stability for stochastic reaction diffusion systems.
Science in China F. 2008; 51 (2): 158-170
Stochastic Differential Equations and Applications. 2007
Shen, Y., Wang, J.. An improved algebraic criterion for global exponential stability of recurrent neural networks with time-varying delays.
IEEE Transactions on Neural Networks. 2008; 19 (3): 528-531
Shen, Y., Wang, J.. Almost sure exponential stability of recurrent neural networks with markovian switching.
IEEE Transactions on Neural Networks. 2009; 20 (5): 840-855
Gyöngy, I., Krylov, N.. Accelerated finite difference schemes for linear stochastic partial differential equations in the whole space.
SIAM Journal on Mathematical Analysis. 2010; 42 (5): 2275-2296
Jentzen, A., Kloeden, P. E., Winkel, G.. Efficient simulation of nonlinear parabolic SPDEs with additive noise.
The Annals of Applied Probability. 2011; 21 (3): 908-950
Kloeden, P. E., Lord, G. J., Neuenkirch, A., Shardlow, T.. The exponential integrator scheme for stochastic partial differential equations: pathwise error bounds.
Journal of Computational and Applied Mathematics. 2011; 235 (5): 1245-1260