Professor Jiu Ding
Professor
Bio
PhD in applied mathematics, Michigan State University, 1990
MS in computational mathematics, Nanjing University, 1984
BS in computational mathematics, Nanjing University, 1982
Professor of Mathematics, 1999-
Associate Professor, 1994-1999
Assistant Professor, 1990-1994
Research Areas: Computational Ergodic Theory; Perturbation Theory of
Linear Operators; Yang-Baxter Matrix Equation; Maximum Entropy Methods
Publications: 140+ journal papers and 7 books with 2200+ citations from Google Scholar
Teaching: Have taught 45+ different mathematics courses
University Awards: Applied Research Award (2002); Teaching Award (2004); Grand Marshal (2005-06); Innovation Award (2007); HEADWAE Award (2016-17)
- PHD - Michigan State University (1990)
- MS - Nanjing University of Aeronautics and Astronautics (1984)
- BS - Nanjing University of Aeronautics and Astronautics (1982)
Have taught over 45 different mathematics courses, including Calculus I-IV, Linear Algebra I-II, Differential Equations I-II, Advanced Calculus I-II, Advanced Engineering Mathematics I-II, Complex Analysis, Number Theory, Numerical Analysis I-II, Linear Programming, Optimization, Modern Geometry, Real Analysis I-II, Functional Analysis for Computational Science, Numerical Analysis for Computational Science, Fourier Analysis and Spectral Methods, Several Topics courses such as Discrete Dynamical Systems and Chaos, Dynamical Geometry, etc.
- Statistical Properties of Deterministic Systems, 2008
- Nonnegative Matrices, Positive Operators, and Applications, 2009
- A polynomial-time predictor-corrector algorithm for a class of linear complementarity problems, Society for Industrial and Applied Mathematics Journal on Optimization, 1991
- Markov finite approximation of Frobenius-Perron operator, Nonlinear Analysis - Theory, Methods and Applications, 1991
- Finite approximations of Frobenius-Perron operators - a solution to Ulam’s conjecture for multi- dimensional transformations, Physica D, 1996
- A maximum entropy method for solving Frobenius-Perron operator equations, Applied Mathematics and Computation, 1998
- A generalization of a classic theorem in the perturbation theory for linear operators, Journal of Mathematical Analysis and Applications, 1999
- Eigenvalues of rank-one updated matrices with some applications, Applied Mathematics Letters, 2007
- Spectral solutions of the Yang-Baxter matrix equation, Journal of Mathematical Analysis and Applications, 2013
- Piecewise monotonic maps with a common piecewise constant stationary density (20 pages), Journal of Statistical Physics, 2023
- Chinese (Native or Bilingual)
- English (Professional Working)
- German (Elementary)
- Russian (Elementary)