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math.NA2026
A low-rank hierarchical framework for the non-Markovian stochastic Schrödinger equation with convergence analysis
Zhuohan Zhang, Zhenning Cai
We propose and analyze a novel numerical framework for the non-Markovian stochastic Schrödinger equation (NMSSE) based on a low-rank approximation of the bath correlation functions…
math.NA2026
Stability and Convergence of Mixed Finite Elements for Linear Regularized 13-Moment Equations
Shuang Hu, Huiteng Li, Zhenning Cai
We present a stable and convergent mixed finite element method (MFEM) for the linear regularized 13-moment (R13) equations in rarefied gas dynamics. Unlike existing methods that re…
math.NA2017
An entropic fourier method for the Boltzmann equation
Zhenning Cai, Yuwei Fan, Lexing Ying
We propose an entropic Fourier method for the numerical discretization of the Boltzmann collision operator. The method, which is obtained by modifying a Fourier Galerkin method to…