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math.NA2024
Asymptotic error distribution of accelerated exponential Euler method for parabolic SPDEs
Jialin Hong, Diancong Jin, Xu Wang +1
The asymptotic error distribution of numerical methods applied to stochastic ordinary differential equations has been well studied, which characterizes the evolution pattern of the…
math.NA2024
Density functions for the overdamped generalized Langevin equation and its Euler--Maruyama method: smoothness and convergence
Xinjie Dai, Diancong Jin
This paper focuses on studying the convergence rate of the density function of the Euler--Maruyama (EM) method, when applied to the overdamped generalized Langevin equation with fr…