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math.NA2025
Asymptotic error distribution of numerical methods for parabolic SPDEs with multiplicative noise
Jialin Hong, Diancong Jin, Xu Wang
This paper aims to investigate the asymptotic error distribution of several numerical methods for stochastic partial differential equations (SPDEs) with multiplicative noise. First…
math.NA2025
Asymptotic error distributions for diffusion-implicit schemes via appurtenant methods
Diancong Jin
We develop an appurtenant-method framework for analyzing asymptotic error distributions and implement it in two diffusion-implicit settings for stochastic differential equations. T…