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A fully discrete approximation of the one-dimensional stochastic heat equation

A fully discrete approximation of the one-dimensional stochastic heat equation

Abstract A fully discrete approximation of the one-dimensional stochastic heat equation driven by multiplicative spaceā€“time white noise is presented. The standard finite difference approximation is used in space and a stochastic exponential method is used for the temporal approximation. Observe that the proposed exponential scheme does not suffer from any ā€¦