Faculty

Institution

Unit

Venue

Mengying Xiao

Assistant Professor

University of West Florida

Affiliations

Department Of Math And Statistics

Department Of Statistics And Mathematics

Department Of Systems Science

Hal Marcus College of Science and Engineering

Department of Mathematics and Statistics

Department of Mechanical Engineering

Division of Academic Affairs

Hal Marcus College of Science and Engineering

University of West Florida

Mengying Xiao is currently serving as a Math And Statistics Assistant Professor at University of West Florida.

Honors

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Experiences

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Education

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Mengying Xiao

University of West Florida

Assistant Professor

You can click a keyword to filter the displayed items

applied mathematics numerical method for partial differential equation numerical analysis scientific computing numerical simulations fluid dynamics partial differential equations numerical mathematics computational science computational mathematics nonlinear analysis computational fluid dynamics incompressible flow mechanical engineering numerical algorithms finite element methods aerospace engineering mathematics differential equations computational mechanics fluid mechanics computational optimization mathematical optimization numerical stability semi-implicit method numerical treatment numerical computation convergence rate stokes equations navier-stokes equations anderson acceleration nonlinear science active control precision engineering marine engineering boundary value problems natural convection hydrodynamic stability mechanical modeling applied mathematical modelling convergence analysis pde-constrained optimization algebraic analysis stochastic optimization multiphysics problems fixed-point methods anderson-accelerated convergence picard iterations incompressible navier algebraic splitting methods nonlinear solvers natural convection problems yosida methods splitting error grad-div stabilization incompressible navier-stokes equations sublinear convergence

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Simple-To-Implement Nonlinear Preconditioning of Newton’s Method for Solving the Steady Navier-Stokes Equations. Computers & Mathematics with Applications (2026)

numerical simulationsscientific computingfluid mechanicspartial differential equationsnumerical computationmultiphysics problemssteady navier-stokes equationsnumerical algorithmscomputational engineeringsimple-to-implement nonlinear preconditioningengineeringnumerical mathematicsnonlinear analysisnumerical method for partial differential equationnumerical analysisincompressible flownewton ’computational mathematicsfluid dynamicscomputational fluid dynamicsnumerical treatmentapplied mathematics

Analysis of the Picard-Newton Iteration for the Navier-Stokes Equations: Global Stability and Quadratic Convergence. Journal of Scientific Computing (2025)

numerical stabilitynonlinear analysisnumerical method for partial differential equationpicard-newton iterationnumerical analysisfluid dynamicsscientific computingpde-constrained optimizationcomputational fluid dynamicsincompressible flowsemi-implicit methodnumerical mathematicsnavier-stokes equationsquadratic convergenceapplied mathematicsaerospace engineering

An Efficient and Accurate Penalty-Projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems. Journal of Scientific Computing (2024)

Muhammad MohebujjamanJulian MirandaMd. Abdullah Al MahbubMengying Xiao

computational sciencestochastic optimizationnumerical simulationsfluid dynamicsscientific computingmagnetohydrodynamicsapplied mathematicsnumerical algorithms

A Penalty-Projection Based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows. arXiv (Cornell University) (2023)

Mohebujjaman, MuhammadMiranda, JulianMahbub, Md. Abdullah AlXiao, Mengying

numerical simulationsnumerical method for partial differential equationmagnetohydrodynamicsmagnetohydrodynamic flowsstochastic processapplied mathematics

Efficient and Effective Algebraic Splitting‐Based Solvers for Nonlinear Saddle Point Problems. Mathematical Methods in the Applied Sciences (2023)

Jia LiuLeo G. RebholzMengying Xiao

mathematical optimizationnumerical method for partial differential equationscientific computingmathematicspartial differential equationsapplied mathematics

Superlinear Convergence of Anderson Accelerated Newton's Method for Solving Stationary Navier–Stokes Equations. Numerical Methods for Partial Differential Equations (2023)

boundary value problemsnonlinear analysisconvergence analysisabstract and applied analysisnumerical method for partial differential equationsuperlinear convergencenumerical analysisscientific computingcomputational mathematicssemi-implicit methodnumerical mathematicspartial differential equationsnumerical computationordinary differential equationsdifferential equationsnumerical treatmentapplied mathematicsnumerical algorithms

The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence. Journal of Scientific Computing (2023)

Leo G. RebholzMengying Xiao

sublinear convergenceanderson accelerationscientific computingapplied mathematics

Enabling 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 (2021)

Leo G. RebholzDuygu VargunMengying Xiao

computer sciencenumerical method for partial differential equationpartial differential equationscomputational optimization

Enabling Fast Convergence of the Iterated Penalty Picard Iteration With $O(1)$ Penalty Parameter for Incompressible Navier-Stokes via Anderson Acceleration. arXiv (Cornell University) (2021)

Leo G. RebholzDuygu VargunMengying Xiao

fast convergenceanderson accelerationpenalty parameterapplied mathematics

Acceleration of Nonlinear Solvers for Natural Convection Problems. Journal of Numerical Mathematics (2020)

Sara PollockLeo G. RebholzMengying Xiao

nonlinear analysisnonlinear sciencenatural convection problemsnumerical method for partial differential equationfluid dynamicsnumerical analysisscientific computingnatural convectionnonlinear solversnumerical mathematicspartial differential equationsdifferential equationsapplied mathematics

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Mengying Xiao

Assistant Professor

University of West Florida

Affiliations

Department Of Math And Statistics

Department Of Statistics And Mathematics

Department Of Systems Science

Hal Marcus College of Science and Engineering

Department of Mathematics and Statistics

Department of Mechanical Engineering

Division of Academic Affairs

Hal Marcus College of Science and Engineering

University of West Florida

Mengying Xiao is currently serving as a Math And Statistics Assistant Professor at University of West Florida.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Mengying Xiao

University of West Florida

Assistant Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Simple-To-Implement Nonlinear Preconditioning of Newton’s Method for Solving the Steady Navier-Stokes Equations. Computers & Mathematics with Applications (2026)

Analysis of the Picard-Newton Iteration for the Navier-Stokes Equations: Global Stability and Quadratic Convergence. Journal of Scientific Computing (2025)

An Efficient and Accurate Penalty-Projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems. Journal of Scientific Computing (2024)

Muhammad MohebujjamanJulian MirandaMd. Abdullah Al MahbubMengying Xiao

computational sciencestochastic optimizationnumerical simulationsfluid dynamicsscientific computingmagnetohydrodynamicsapplied mathematicsnumerical algorithms

A Penalty-Projection Based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows. arXiv (Cornell University) (2023)

Mohebujjaman, MuhammadMiranda, JulianMahbub, Md. Abdullah AlXiao, Mengying

numerical simulationsnumerical method for partial differential equationmagnetohydrodynamicsmagnetohydrodynamic flowsstochastic processapplied mathematics

Efficient and Effective Algebraic Splitting‐Based Solvers for Nonlinear Saddle Point Problems. Mathematical Methods in the Applied Sciences (2023)

Jia LiuLeo G. RebholzMengying Xiao

mathematical optimizationnumerical method for partial differential equationscientific computingmathematicspartial differential equationsapplied mathematics

Superlinear Convergence of Anderson Accelerated Newton's Method for Solving Stationary Navier–Stokes Equations. Numerical Methods for Partial Differential Equations (2023)

The Effect of Anderson Acceleration on Superlinear and Sublinear Convergence. Journal of Scientific Computing (2023)

Leo G. RebholzMengying Xiao

sublinear convergenceanderson accelerationscientific computingapplied mathematics

Leo G. RebholzDuygu VargunMengying Xiao

computer sciencenumerical method for partial differential equationpartial differential equationscomputational optimization

Enabling Fast Convergence of the Iterated Penalty Picard Iteration With $O(1)$ Penalty Parameter for Incompressible Navier-Stokes via Anderson Acceleration. arXiv (Cornell University) (2021)

Leo G. RebholzDuygu VargunMengying Xiao

fast convergenceanderson accelerationpenalty parameterapplied mathematics

Acceleration of Nonlinear Solvers for Natural Convection Problems. Journal of Numerical Mathematics (2020)

Sara PollockLeo G. RebholzMengying Xiao

1
2
10 / page