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Haiyan Tian

Dr. Haiyan Tian

Professor

Bio

Positions

2017-present, Professor, The University of Southern Mississippi
2010-2017, Associate Professor, The University of Southern Mississippi
2006-2010, Assistant Professor, The University of Southern Mississippi
2002-2006, Assistant Professor, University of Wisconsin-Stout


Google Scholar

  • Applied Mathematics (PHD) - University of Louisiana at Lafayette (2002)
  • MS - University of Louisiana at Lafayette (1999)
  • MS - Nanjing University of Aeronautics and Astronautics (1994)
  • BS - Lanzhou University (1991)

Undergraduate Courses:

MAT 103 Trigonometry
MAT 114 Calculus for the Arts and Sciences
MAT 167 & MAT 167H Calculus I with Analytic Geometry
MAT 168 Calculus II with Analytic Geometry
MAT 169 Calculus III with Analytic Geometry
MAT 280 Calculus IV with Analytic Geometry
MAT 285 Introduction to Differential Equations I
MAT 305 Mathematical Computing I
MAT 326 Linear Algebra I
MAT 340 Discrete Mathematics
MAT 460/560 Numerical Analysis I
MAT 461/561 Numerical Analysis II
MAT 492 Undergraduate Thesis
MAT 492H Undergraduate Honors Thesis

Graduate Courses:

MAT 605 Ordinary Differential Equations
MAT 606 Partial Differential Equations
MAT 610 Numerical Linear Algebra
MAT 772 Theoretical Numerical Analysis

  • Solving the Yang-Baxter-like matrix equation with non-diagonalizable elementary matrices, Communications in Mathematical Sciences, 2019, DOI: https://dx.doi.org/10.4310/CMS.2019.v17.n2.a5
  • A time integration method of approximate fundamental solutions for nonlinear Poisson-type boundary value problems, Communications in Mathematical Sciences, 2017
  • A Delta-shaped basis method for ill-posed nonhomogeneous elliptic boundary value problems, Neural, Parallel, and Scientific Computations, 2017
  • Approximations of Frobenius-Perron operators via piecewise quadratic functions, Dynamic Systems & Applications, 2016
  • Solving the Yang-Baxter-like matrix equation for elementary matrices, Computers & Mathematics with Applications, 2016
  • Numerical solutions of elliptic partial differential equations using Chebyshev polynomials, Computers & Mathematics with Applications, 2016
  • All solutions of the Yang-Baxter-like matrix equation for rank-one matrices, Applied Mathematics Letters, 2016
  • Comparing two types of bases for solving elliptic boundary value problems, Neural, Parallel, and Scientific Computations, 2015
  • Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations, Computers & Mathematics with Applications, 2014

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Contact Me

Southern Hall (SH) 316 map

Hattiesburg

Email
Haiyan.TianFREEMississippi

Phone
601.266.4293

Areas of Expertise

Applied Mathematics