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math.NA2024
Statistical Error of Numerical Integrators for Underdamped Langevin Dynamics with Deterministic And Stochastic Gradients
Xuda Ye, Zhennan Zhou
We propose a novel discrete Poisson equation approach to estimate the statistical error of a broad class of numerical integrators for the underdamped Langevin dynamics. The statist…
math.NA2024
Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system
Yu Zhao, Zhennan Zhou
We consider a special type of fast reaction-diffusion systems in which the coefficients of the reaction terms of the two substances are much larger than those of the diffusion term…
math.NA2024
Uncertainty Quantification of Phase Transition Problems with an Injection Boundary
Zhenyi Zhang, Shengbo Ma, Zhennan Zhou
We develop an enthalpy-based modeling and computational framework to quantify uncertainty in Stefan problems with an injection boundary. Inspired by airfoil icing studies, we consi…