PhD Students

Looking for prospective students (strongly self-motivated math PhD students). RA positions are available. If you are interested, send me your CV and transcripts.

Ying Li, Ph.D. Mathematics
University of Florida
Graduation date: Summer 2023

Dissertation: Efficient Ensemble Methods for Simulating Groundwater-Surface Water Flows

First Position: Research Postdoc, Ohio State University, 2023 – present

Publications (work completed under my supervision during her PhD):

(1) N. Jiang, Y. Li and H. Yang. An Artificial Compressibility Crank-Nicolson Leap-Frog Method for the Stokes-Darcy Model and Application in Ensemble Simulations, SIAM Journal on Numerical Analysis, 59 (2021), 401-428.

(2) N. Jiang, Y. Li and H. Yang. A Second Order Ensemble Method with Different Subdomain Time Steps for Simulating Coupled Surface-Groundwater Flows, Numerical Methods for Partial Differential Equations, 38 (2022), 1880-1907, 2022.

(3) N. Jiang and Y. Li. An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows, Mathematics and Computers in Simulation, 221 (2024), 39-54.

John Carter, Ph.D. Mathematics
(co-advised with Daozhi Han)
Missouri University of Science and Technology
Graduation date: Summer 2023

Dissertation: Efficient High Order Ensemble Methods for Fluid Flow

First Position: Research Postdoc, Rensselaer Polytechnic Institute, 2023 – present
(5 months on leave from RPI to visit the Brown University in Spring 2024)

Publications (work completed under my supervision during his PhD):

(1) J. Carter and N. Jiang. Numerical Analysis of A Second Order Ensemble Method for Evolutionary Magnetohydrodynamics Equations at Small Magnetic Reynolds Number, Numerical Methods for Partial Differential Equations, 38 (2022), 1407-1436.

(2) J. Carter, D. Han and N. Jiang. Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations, Journal of Scientific Computing, 94 (2023), 41.

(3) J. Carter, D. Han and N. Jiang. Partitioned, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations, in preparation, 2023.

Changxin Qiu, Ph.D. Mathematics
(co-advised with Xiaoming He)
Missouri University of Science and Technology
Graduation date: Summer 2019

Dissertation: Decoupling Methods for the Time-Dependent Navier-Stokes-Darcy Interface Model

First Position: Postdoc, Iowa State University, Iowa, USA, 2019 – 2021

Current Position: Associate Professor, Ningbo University, Zhejiang, China, 2021 – present
Webpage: http://math.nbu.edu.cn/info/1046/3531.htm

Publications (work completed under my supervision during his PhD):

(1) N. Jiang and C. Qiu. An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes-Darcy Equations, Computer Methods in Applied Mechanics and Engineering, 343 (2019), 249-275.

(2) X. He, N. Jiang and C. Qiu. An Artificial Compressibility Ensemble Algorithm for a Stochastic Stokes-Darcy Model with Random Hydraulic Conductivity and Interface Conditions, International Journal for Numerical Methods in Engineering, 121 (2020), 712-739.

(3) N. Jiang and C. Qiu. Numerical Analysis of A Second Order Ensemble Algorithm for Numerical Approximation of Stochastic Stokes-Darcy Equations, Journal of Computational and Applied Mathematics, 406 (2022), 113934.

 


Links

Society for Industrial and Applied Mathematics (SIAM)

American Mathematical Society (AMS)

Institute for Mathematics and its Applications (IMA)

Institute for Computational and Experimental Research in Mathematics (ICERM)

Institute for Pure & Applied Mathematics (IPAM)

The Statistical and Applied Mathematical Sciences Institute (SAMSI)

UF Library