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Liu,Jia_211

Dr. Jia Liu

Biography:

Dr. Jia Liu is a professor and chair of the Department of Mathematics and Statistics. Liu’s research focuses on computational mathematics, especially the numerical solver for large sparse linear systems. She studies Krylov subspace iterative algorithms, preconditioning techniques, biological models, machine learning, and complex network structures.

Dr. Liu’s finds have been published in SIAM Journal of Scientific Computing, International Journal of Computer Mathematics, Journal of Biological Dynamics, Journal of Applied Physics and other peer-reviewed journals. They covered such topics as preconditioning techniques for solving the Navier-Stokes problems, iterative solvers for optimization problems, Geometric and Topological properties of Ellipsoids, community detection algorithms in complex networks, and disease prediction. Liu also has made presentations at prestigious academic gatherings in China, Canada, and the United States.

She earned a bachelor’s degree and a master’s degree at Central China Normal University, where her bachelor thesis won the highest honor. She joined UWF in 2006 after receiving Ph.D. in Mathematics from Emory University, where the National Science Foundation funded her doctoral dissertation on “Preconditioned Krylov Subspace Methods for Incompressible Flow Problems.” Liu has been an editor or editorial board member of several peer-reviewed publications and has reviewed papers proposed for other journals.

Degrees & Institutions:

Ph.D. Mathematics, Emory University
M.S. Mathematics, Central China Normal University
B.A. Mathematics, Central China Normal University

Research:

Dr. Liu conducts research on numerical linear algebra, sparse matrix computations, iterative methods for large linear systems, preconditioning techniques, biological models, geometric and Topological properties of Ellipsoids, machine learning and complex network structures.

Current Courses:

  • Differential equations
  • Numerical analysis
  • Real analysis

Classes Taught:

  • Calculus
  • Linear Algebra
  • Differential Equations
  • Numerical Analysis
  • Real Analysis

Publications:

Her work has been published in SIAM Journal of Scientific Computing, International Journal of Computer Mathematics, Journal of Biological Dynamics and a dozen other scholarly publications. Topics included numerical solutions for incompressible fluid problems, preconditioning techniques, optimization problems, Complex network community detections etc.


Keywords: Krylov subspace iterative methods, sparse matrix computations, preconditioning techniques, Navier-Stokes equations, optimization, geometric and topological properties of ellipsoids, Biological models, complex network, spectral clustering, community detection, machine learning.