Abstract In Becker and Jentzen (2019) and Becker et al.(2017), an explicit temporal semi-
discretization scheme and a space–time full-discretization scheme were, respectively …

A Galerkin finite element method is applied to approximate the solution of a semilinear
stochastic space and time fractional subdiffusion problem with the Caputo fractional …

In this paper, we focus on the asymptotic mean square stability of stochastic delay ordinary
and partial differential equations. By virtue of root locus technique, the sufficient and …

We consider a nonlocal evolution equation representing the continuum limit of a large
ensemble of interacting particles on graphs forced by noise. The two principle ingredients of …

This paper aims to investigate the numerical approximation of a general second order
parabolic stochastic partial differential equation (SPDE) driven by multiplicative or additive …

This paper deals with the numerical approximation of semilinear parabolic stochastic partial
differential equation (SPDE) driven simultaneously by Gaussian noise and Poisson random …

Efficient simulation of stochastic partial differential equations (SPDE) on general domains
requires noise discretization. This paper employs piecewise linear interpolation of noise in a …

We consider the numerical approximation of the general second order semilinear parabolic
stochastic partial differential equations (SPDEs) driven by additive space–time noise. Our …

This paper aims to investigate numerical approximation of a general second order non-
autonomous semilinear parabolic stochastic partial differential equation (SPDEs) driven by …

Abstract (EN) Partial differential equations (PDEs) and stochastic partial differential
equations (SPDEs) are powerful tools in modeling real-world phenomena in many fields …