4 papers
A Stabilized Numerical Framework for Necrotic Tumor Growth via Coupled Boundary Integral and Obstacle Solvers
Yu Feng, Shuo Ling, Wenjun Ying +1
We present a robust computational framework for Hele-Shaw tumor growth with necrotic cores, a problem identified as the incompressible limit of the Porous Media Equation. Simulatin…
Mean square error analysis of stochastic gradient and variance-reduced sampling algorithms
Jianfeng Lu, Xuda Ye, Zhennan Zhou
This paper considers mean square error (MSE) analysis for stochastic gradient sampling algorithms applied to underdamped Langevin dynamics under a global convexity assumption. A no…
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…
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…