Zhang , XiaotengWang , XunShen , Zhijun and Yang , Chao. (2025). A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case. Communications in Computational Physics. 37 (4). 1120-1156. doi:10.4208/cicp.OA-2024-0068