Haiyan Tian

Professor

Director of the USM Summer Mathematics Institute

Education

Ph.D., Applied Mathematics, University of Louisiana at Lafayette, 2002.

Research Interests

Nonlinear Ordinary and Partial Differential Equations
Applied Analysis
Computational Mathematics, including Numerical Analysis
Mathematical Modeling

Recent Refereed Journal Publications

Each Impact Factor listed below is the average of Impact Factors over 5 years 2011-2015.

1. C. Jones and H.Y. Tian, A time integration method of approximate fundamental solutions for nonlinear Poisson-type boundary value problems, Communications in Mathematical Sciences, in press.
          Impact Factor: 1.332, ARC ranking: A

2. H.Y. Tian and A. Grunewald, A Delta-shaped basis method for ill-posed nonhomogeneous elliptic boundary value problems, Neural, Parallel, and Scientific Computations, 25 (2017), 1-18.
          Ranked “Reputable” by National University of Singapore

3. H.Y. Tian, J. Ding and Noah H. Rhee, Approximations of Frobenius-Perron operators via piecewise quadratic functions, Dynamic Systems and Applications, 25 (2016), 557-574.
          Impact Factor: 0.344, ARC ranking: B

4. J. Ding and H.Y. Tian, Solving the Yang-Baxter-like matrix equation for elementary matrices, Computers & Mathematics with Applications, 72 (2016), 1541-1548.
          Impact Factor: 1.873, ARC ranking: A

5. B. Khatri Ghimire, H.Y. Tian and A.R. Lamichhane, Numerical solutions of elliptic partial differential equations using Chebyshev polynomials, Computers & Mathematics with Applications, 72 (2016), 1042-1054.
          Impact Factor: 1.873, ARC ranking: A

6. H.Y. Tian, All solutions of the Yang-Baxter-like matrix equation for rank-one matrices, Applied Mathematics Letters, 51 (2016), 55-59.
          Impact Factor: 1.358, ARC ranking: B

7. H.Y. Tian, H.M. Chi and C.Y. Zhao, Comparing two types of bases for solving elliptic boundary value problems, Neural, Parallel, and Scientific Computations, 23 (2015), 411-420.
          Ranked “Reputable” by National University of Singapore

8. X. Zhang, H.Y. Tian and W. Chen, Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations, Computers & Mathematics with Applications, 66 (2014), 2425-2432.
          Impact Factor: 1.873, ARC ranking: A

9. X. Zhang, H.Y. Tian, L. Kuo and W. Chen, A contact SPH method with high-order limiters for simulation of inviscid compressible flows, Communications in Computational Physics, 14(2) (2013), 425-442.
          Impact Factor: 1.752

10. H.Q. Zhu, H.Y. Tian and Z.M. Zhang, Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems, Communications in Mathematical Sciences, 9(4) (2011), 1013-1032.
          Impact Factor: 1.332, ARC ranking: A

Classes Taught at USM

MAT 103: Trigonometry
MAT 167: Calculus I with Analytic Geometry
MAT 167H: Honors Calculus I with Analytic Geometry
MAT 168: Calculus II with Analytic Geometry
MAT 285: Introduction to Differential Equations I
MAT 305: Mathematical Commutating
MAT 326: Linear Algebra I
MAT 340: Discrete Mathematics
MAT 605: Ordinary Differential Equations
MAT 606: Partial Differential Equations
MAT 610: Numerical Linear Algebra

Students Directed

Corey Jones, Ph.D., May 2015
Brandon Hollingsworth, BS, May 2015
Amber Sumner Robertson, BS, May 2013
Jaeyoun Oh, MS, May 2012
Megan Richardson, MS, August 2011
Rickyta Mallett, BS, (AGEM-SREU), July 2011
Christopher Mills, BS, May 2009
Andreas Grunewald, MS, September 2008