Mengying Xiao
Mengying Xiao
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Assistant Professor
Assistant Professor
Department of Mathematics and Statistics
Department of Mathematics and Statistics
University of West Florida
University of West Florida
mxiao[at]uwf[dot]edu
mxiao[at]uwf[dot]edu
I am an applied mathematician bridging the gap between theoretical analysis and real-world engineering. My research on Anderson Acceleration and algebraic splitting is used by national laboratories and federal agencies to optimize simulations for fusion energy, aerospace, and cardiovascular health.
When I'm not deriving error bounds, I enjoy humor.
Research Impact Highlights
Research Impact Highlights
💻 Software Infrastructure: Theoretical analysis provided the justification for new capabilities released in the SUNDIALS/KINSOL solver suite used by DOE National Laboratories (Report LLNL-JRNL-2007253).
⚛️ Fusion Energy Simulations: Research on Anderson Acceleration was adopted as the heuristic approach used to engineer adaptive damping protocols at Lawrence Livermore National Laboratory (Report LLNL-PROC-864392).
⚡ Exascale Computing: Implements Anderson-accelerated fixed-point iterations for ECP-supported neutrino transport simulations, citing my work as a standard convergence reference.
🚀 Aerospace Benchmark: Methods are explicitly cited as a "new alternative" and benchmark for accuracy in U.S. Air Force (AFOSR)-funded hypersonic fluid-structure interaction studies.
📘 Standardization in Textbook: Convergence results are featured as standard reference material in the 2022 SIAM textbook Solving Nonlinear Equations with Iterative Methods: Solvers and Examples in Julia (C.T. Kelley).
❤️ Biomedical Utility: Algebraic splitting research is cited by NIH-funded cardiovascular modeling experts at Emory University (research group of Covanos Inc. CSO), recognizing its relevance to computational tools for cardiovascular diagnostics.
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