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math.NA2024
Geometric Ergodicity and Strong Error Estimates for Tamed Schemes of Super-linear SODEs
Zhihui Liu, Xiaoming Wu
We construct a family of explicit tamed Euler--Maruyama (TEM) schemes, which can preserve the same Lyapunov structure for super-linear stochastic ordinary differential equations (S…
math.NA2024★ 8 cited
Numerical Unique Ergodicity of Monotone SDEs driven by Nondegenerate Multiplicative Noise
Zhihui Liu, Zhizhou Liu
We first establish the unique ergodicity of the stochastic theta method (STM) with for monotone SODEs, without growth restriction on the coefficients, driven by non…