3 papers
quant-ph2026
Optimal Convergence Rate of Lie-Trotter Approximation for Quantum Thermal Averages
Xuda Ye, Zhennan Zhou
The Lie--Trotter product formula is a foundational approximation for the quantum partition function, yet obtaining rigorous error bounds for the unbounded Hamiltonians common in ph…
math.NA2026
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…
math.NA2025
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…