most citedNumerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NA2021

Large deviations principles of sample paths and invariant measures of numerical methods for parabolic SPDEs

Chuchu Chen, Ziheng Chen, Jialin Hong +1

For parabolic stochastic partial differential equations (SPDEs), we show that the numerical methods, including the spatial spectral Galerkin method and further the full discretizat…

math.NA2020★ 2 cited

Numerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations

Jialin Hong, Diancong Jin, Derui Sheng +1

In this paper, we focus on two kinds of large deviations principles (LDPs) of the invariant measures of Langevin equations and their numerical methods, as the noise intensity $ε\to…