On the explicit two-stage fourth-order accurate time discretizations. - Yuhuan Yuan; Huazhong Tang (CoRR, 2020)

Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations. - Mária Lukácová-Medvidová; Yuhuan Yuan (CoRR, 2021)

Error estimates of the Godunov method for the multidimensional compressible Euler system. - Mária Lukácová-Medvidová; Bangwei She; Yuhuan Yuan (CoRR, 2021)

Penalization method for the Navier-Stokes-Fourier system. - Danica Basaric; Eduard Feireisl; Mária Lukácová-Medvidová; Hana Mizerová; Yuhuan Yuan (CoRR, 2021)

Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method. - Eduard Feireisl; Mária Lukácová-Medvidová; Bangwei She; Yuhuan Yuan (CoRR, 2022)

Convergence and error estimates of a penalization finite volume method for the compressible Navier-Stokes system. - Mária Lukácová-Medvid'ová; Bangwei She; Yuhuan Yuan (CoRR, 2022)

Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system. - Danica Basaric; Mária Lukácová-Medvidová; Hana Mizerová; Bangwei She; Yuhuan Yuan (Math. Comput., 2023)

Convergence of a generalized Riemann problem scheme for the Burgers equation. - Maria Lukacova-Medvidova; Yuhuan Yuan (CoRR, 2024)

Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data. - Eduard Feireisl; Maria Lukacova-Medvidova; Bangwei She; Yuhuan Yuan (CoRR, 2024)

What is a limit of structure-preserving numerical methods for compressible flows? - Maria Lukacova-Medvidova; Bangwei She; Yuhuan Yuan (CoRR, 2024)

Error analysis of the Monte Carlo method for compressible magnetohydrodynamics. - Eduard Feireisl; Maria Lukacova-Medvidova; Bangwei She; Yuhuan Yuan (CoRR, 2024)

Convergence Analysis of the Monte Carlo Method for the Random Navier-Stokes-Fourier System. - Mária Lukácová-Medvidová; Bangwei She; Yuhuan Yuan (SIAM J. Numer. Anal., 2025)

Generating Symbolic World Models via Test-time Scaling of Large Language Models. - Zhouliang Yu; Yuhuan Yuan; Tim Z. Xiao; Fuxiang Frank Xia; Jie Fu 001; Ge Zhang 009; Ge Lin; Weiyang Liu (Trans. Mach. Learn. Res., 2025)

Penalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates. - Mária Lukácová-Medvid'ová; Bangwei She; Yuhuan Yuan (Numerische Mathematik, 2025)