The Consistency and the Monte Carlo Method for Semiconductor Boltzmann Equations with Multivalley. - Jiachuan Cao; Liqun Cao (Multiscale Model. Simul., 2022)

Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley. - Jiachuan Cao; Li-qun Cao (Multiscale Model. Simul., 2023)

Computing rough solutions of the stochastic nonlinear wave equation. - Jiachuan Cao; Buyang Li; Katharina Schratz (CoRR, 2024)

Numerical Approximation of Discontinuous Solutions of the Semilinear Wave Equation. - Jiachuan Cao; Buyang Li; Yanping Lin; Fangyan Yao (SIAM J. Numer. Anal., 2025)

Computing rough solutions of the KdV equation below L2. - Jiachuan Cao; Buyang Li; Yifei Wu; Fangyan Yao (CoRR, 2025)