Author

Shan Huang

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Preprint Aug 2026

Exponential Contraction for Underdamped Langevin Diffusions with Superlinear Forces

Underdamped Langevin diffusions model kinetic sampling and thermally driven inertial dynamics, but quantitative convergence is difficult when degenerate noise is coupled with a nonconvex superlinear force. We prove unit-prefactor exponential contraction in an explicit weighted Kantorovich cost under radial confinement,...

Shan Huang, Xiaoyue Li · 0 citations

Preprint Aug 2026

Adaptive Time-Stepping Euler--Maruyama Scheme for SDEs with Non-Globally Lipschitz Coefficients: Uniform Convergence, Stability and Ergodicity

This paper develops an adaptive time-stepping Euler--Maruyama scheme for stochastic differential equations (SDEs) with non-globally Lipschitz drift and diffusion coefficients. By dynamically adjusting the timestep at each iteration, the proposed scheme effectively prevents numerical instability. We prove the moment bou...

Xueqi Wen, Shan Huang, Xiaoyue Li · 0 citations