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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.PR2021★ 4 cited
Convergence analysis for minimum action methods coupled with a finite difference method
Jialin Hong, Diancong Jin, Derui Sheng
The minimum action method (MAM) is an effective approach to numerically solving minimums and minimizers of Freidlin--Wentzell (F-W) action functionals, which is used to study the m…