Provably Convergent and Robust Newton-Raphson Method: A New Dawn in Primitive Variable Recovery for Relativistic MHD. - Chaoyi Cai; Jianxian Qiu; Kailiang Wu (CoRR, 2024)

Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. - Chaoyi Cai; Jianxian Qiu; Kailiang Wu (J. Comput. Phys., 2024)

Provably Convergent Newton-Raphson Method: Theoretically Robust Recovery of Primitive Variables in Relativistic MHD. - Chaoyi Cai; Jianxian Qiu; Kailiang Wu (SIAM J. Numer. Anal., 2025)

Geometric-Perturbation-Robust Cut-Cell Scheme for Two-Material Flows: Exact Pressure-Equilibrium Preservation and Rigorous Analysis. - Chaoyi Cai; Di Wu; Jianxian Qiu (CoRR, 2025)