3 papers
math.NA2026
Sampling Using Hybrid Stochastic Dynamics
Björn Engquist, Kui Ren, Yunan Yang
This work proposes a framework for sampling from the Gibbs distribution of a given potential using hybrid stochastic dynamics. In this framework, two distinct sampling dynamics are…
math.AP2026
Recovering the initial condition and physical coefficients in a nonlinear PDE model of cell invasion
Beiji Chen, Kui Ren
This paper investigates an inverse problem for the simultaneous reconstruction of two spatially varying reaction coefficients, the local proliferation rate and the competition (sat…
math.NA2025
A discontinuous Galerkin method for one-dimensional nonlocal wave problems
Qiang Du, Kui Ren, Lu Zhang +1
This paper presents a fully discrete numerical scheme for one-dimensional nonlocal wave equations and provides a rigorous theoretical analysis. To facilitate the spatial discretiza…