High order algebraic splitting for magnetohydrodynamics simulation. - Mine Akbas; Muhammad Mohebujjaman; Leo G. Rebholz; Mengying Xiao (J. Comput. Appl. Math., 2017)

Improved Accuracy in Algebraic Splitting Methods for Navier-Stokes Equations. - Leo G. Rebholz; Mengying Xiao (SIAM J. Sci. Comput., 2017)

Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations. - Leo G. Rebholz; Alex Viguerie; Mengying Xiao (Math. Comput., 2019)

Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier-Stokes Equations. - Sara N. Pollock; Leo G. Rebholz; Mengying Xiao (SIAM J. Numer. Anal., 2019)

Analysis of Algebraic Chorin Temam splitting for incompressible NSE and comparison to Yosida methods. - Leo G. Rebholz; Alex Viguerie; Mengying Xiao (J. Comput. Appl. Math., 2020)

A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically). - Claire Evans; Sara N. Pollock; Leo G. Rebholz; Mengying Xiao (SIAM J. Numer. Anal., 2020)

Enabling fast convergence of the iterated penalty Picard iteration with $O(1)$ penalty parameter for incompressible Navier-Stokes via Anderson acceleration. - Leo G. Rebholz; Duygu Vargun; Mengying Xiao (CoRR, 2021)

Acceleration of nonlinear solvers for natural convection problems. - Sara N. Pollock; Leo G. Rebholz; Mengying Xiao (J. Num. Math., 2021)

Superlinear convergence of Anderson accelerated Newton's method for solving stationary Navier-Stokes equations. - Mengying Xiao (CoRR, 2022)

A Penalty-projection based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows. - Muhammad Mohebujjaman; Julián D. Miranda; Md. Abdullah Al Mahbub; Mengying Xiao (CoRR, 2023)

The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence. - Leo G. Rebholz; Mengying Xiao (J. Sci. Comput., 2023)

An Efficient and Accurate Penalty-projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems. - Muhammad Mohebujjaman; Julián D. Miranda; Md. Abdullah Al Mahbub; Mengying Xiao (J. Sci. Comput., 2024)

A simple-to-implement nonlinear preconditioning of Newton's method for solving the steady Navier-Stokes equations. - Muhammad Mohebujjaman; Mengying Xiao; Cheng Zhang (CoRR, 2025)

Analysis of the Picard-Newton Iteration for the Navier-Stokes Equations: Global Stability and Quadratic Convergence. - Sara Pollock; Leo G. Rebholz; Xuemin Tu; Mengying Xiao (J. Sci. Comput., 2025)