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math.NA2025
Non-asymptotic Error Analysis of Explicit Modified Euler Methods for Superlinear and Non-contractive SODEs
Zhihui Liu, Xiaojie Wang, Xiaoming Wu +1
A family of explicit modified Euler methods (MEMs) is constructed for long-time approximations of super-linear SODEs driven by multiplicative noise. The proposed schemes can preser…
math.NA2025
Weak Error Estimates of Ergodic Approximations for Monotone Jump-diffusion SODEs
Zhihui Liu, Xiaoming Wu
We first derive the exponential ergodicity of the stochastic theta method (STM) with for monotone jump-diffusion stochastic ordinary differential equations (SODEs) u…