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Mengying Xiao

Dr. Mengying Xiao

Biography

Dr. Mengying Xiao, an Assistant Professor in the Department of Mathematics and Statistics has a Ph.D. in Mathematics from Clemson University. 

Degrees & Institutions

Ph.D. in Mathematics at Clemson University

M.S. in Mathematics at Capital Normal University (China)

B.S. in Mathematics at Capital Normal University (China)

Publications

  • L. Rebholz, D. Vargun and M. Xiao, Enabling fast convergence of the iterated penalty Picard iteration with O(1) penalty parameter for incompressible Navier-Stokes via Anderson acceleration, Computer Methods in Applied Mechanics and Engineering, 387, 114178, 2021
  • S. Pollock, L. Rebholz and M. Xiao, Acceleration of nonlinear solvers for natural convection problems, Journal of Numerical Mathematics, pp. 000010151520200067, 2020.
  • L. Rebholz, A.Viguerie and M. Xiao, Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations, Mathematics of Computation, 88, 1533- 1557, 2019.
  • S. Pollock, L. Rebholz and M. Xiao, Anderson-accelerated convergence of Picard iterations for incompressible Navier-Stokes equations, SIAM Journal on Numerical Analysis, 57(2), 615- 637, 2019.
  • L. Rebholz, A.Viguerie and M. Xiao, Analysis of Algebraic Chorin-Temam splitting for incompressible Navier-Stokes equations and comparison to Yosida methods, Journal of Computational and Applied Mathematics, 365, 112366, 2020. 
  • C. Evans, S. Pollock, L. Rebholz and M. Xiao, A proof that Anderson acceleration increases the convergence rate in linearly converging fixed point methods (but not in quadratically converging ones), SIAM Journal on Numerical Analysis, 58(1), 788-810, 2020. 
  • M. Xiao, An efficient nonlinear solver for steady MHD based on algebraic splitting, International Journal on Numerical Analysis and Modeling, to appear. 
  • S. Pollock, L. Rebholz and M. Xiao, Acceleration of nonlinear solvers for natural convection problems, Journal of Numerical Mathematics, to appear.