معرفی
Dr. Mengying Xiao is an Assistant Professor in the Department of Mathematics and Statistics at the University of West Florida, part of the Hal Marcus College of Science and Engineering. Her research focuses on computational mathematics and numerical methods for fluid dynamics and related systems.
Dr. Xiao earned her Ph.D. in Mathematics from Clemson University, an M.S. in Mathematics from Capital Normal University in China, and a B.S. in Mathematics from the same institution.
Her research interests include computational mathematics, numerical analysis of incompressible Navier-Stokes equations, nonlinear solvers, Anderson acceleration, algebraic splitting methods, and magnetohydrodynamics (MHD). She develops and analyzes efficient iterative schemes for complex fluid systems, particularly emphasizing convergence acceleration and stability.
The recent publications show a strong trend toward improving convergence of fixed-point and Picard-type iterations using Anderson acceleration, as well as developing and analyzing algebraic splitting techniques for decoupling complex systems like Navier-Stokes and MHD equations. Her work bridges theoretical numerical analysis with practical computational efficiency in fluid dynamics simulations.
Scientific Awards:
- No scientific awards mentioned in the provided text.
Advising and Grants:
- No information available regarding student advising or research grants.
Labs and Research Teams:
- Dr. Xiao is associated with the Computational Science, Data Analytics (CSDA) Lab at UWF, which supports interdisciplinary research in computational modeling and data science.
