Liu,Jia_211

Dr. Jia Liu

Biography:

Dr. Jia Liu, an Associate Professor, has a 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.” Dr. Liu conducts research on linear algebra, sparse matrix computations, iterative methods large linear systems, preconditioning techniques, and teaching online courses. Her work has been published in SIAM Journal of Scientific Computing, International Journal of Computer Mathematics, Journal of Applied Mathematics and a dozen other scholarly publications. Topics included numerical solutions for incompressible fluid problems, preconditioning techniques, optimization problems, machine learning methods etc. Liu also has made presentations at prestigious academic gatherings in China and the United States. She earned both a bachelor’s degree and a master’s degree at Central China Normal University, where her bachelor thesis won the highest honor.

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 linear algebra, sparse matrix computations, iterative methods large linear systems, preconditioning techniques, machine learning and teaching online courses.

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 Applied Mathematics and a dozen other scholarly publications. Topics included numerical solutions for incompressible fluid problems, preconditioning techniques, optimization problems, machine learning methods etc.


Keywords: preconditioned krylov subspace methods, nuclear linear algebra, sparse matrix computations, iterative methods for systems of linear equations, preconditioning techniques, teaching online graduate courses, calculus education techniques through artwork, using Python to solve the Navier-Stokes Equations, geometric and topological properties of ellipsoids