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 …

The aim of this article is to provide further strong convergence results for a spatio-temporal
discretization of semilinear parabolic stochastic partial differential equations driven by …

In this article we introduce and study a deep learning based approximation algorithm for
solutions of stochastic partial differential equations (SPDEs). In the proposed approximation …

This article introduces and analyzes a new explicit, easily implementable, and full discrete
accelerated exponential Euler-type approximation scheme for additive space-time white …

We construct a positivity-preserving Lie--Trotter splitting scheme with finite difference
discretization in space for approximating the solutions to a class of nonlinear stochastic heat …

Recently, Kovács et al. considered a Mittag‐Leffler Euler integrator for a stochastic
semilinear Volterra integral‐differential equation with additive noise and proved the strong …

Motivated by fractional derivative models in viscoelasticity, a class of semilinear stochastic
Volterra integro-differential equations, and their deterministic counterparts, are considered …

We consider the numerical approximation of a general second order semi–linear parabolic
stochastic partial differential equation (SPDE) driven by additive space-time noise. We …

In this paper, we consider the numerical approximation of a general second order semilinear
stochastic spartial differential equation (SPDE) driven by multiplicative and additive noise …

The weak Galerkin finite element method is a class of recently and rapidly developed
numerical tools for approximating partial differential equations. Unlike the standard Galerkin …