3 papers
cond-mat.quant-gas2026
Collision and coalescence dynamics of bosonic quantum Hall droplets
Xinyi Liu, Zhendong Li, Yuwen Zhou +5
Recently bosonic quantum Hall droplets have been observed in rapidly rotating two-dimensional Bose-Einstein condensates (BECs), which exhibit robust dynamical stability. Inspired b…
math.NA2026
A Non-compact Positivity-Preserving Numerical Scheme for Elliptic Differential Equations Based on Mathematical Expectation
Haoran Xu, Kunyang Li, Xingye Yue
We propose a novel non-compact, positivity-preserving scheme for linear non-divergence form elliptic equations. Based on the Feynman--Kac formula, the solution is represented as a…
math.NA2026
A Non-compact Positivity-Preserving Scheme for Parabolic PDE via Conditional Expectation
Haoran Xu, Jie Ren, Xingye Yue
We propose a novel non-compact, positivity-preserving scheme for linear non-divergence form parabolic equations. Based on the Feynman-Kac formula, the solution is expressed as a co…