Guangming Yao

Biography

Guangming Yao has an undergraduate degree and master degree in mathematics from Haerbin Normal University and a Ph.D. in computational mathematics from the University of Southern Mississippi. Her research concentrates on meshless method for solving differential equations and mathematical modeling. She is curious about differences on mathematics education between China and US.

Education Background

Computational Science (mathematics) Ph.D. - 2010 University of Southern Mississippi
Mathematics (Nonlinear Analysis) M.S. - 2006 Harbin Normal University
Mathematics and Applied Mathematics B.S. - Harbin Normal University

Courses Taught

Calculus I
Calculus II
COMPASS Calculus
Elementary Differential Equations
Advanced Engineering Mathematics
Linear Algebra
Numerical Differential Equations
Initial and Boundary Value Problems and Partial Differential Equations
Functional Analysis

Research Interests

My research interests include numerical solutions of ODEs and PDEs, radial basis functions, and related mathematical modelings and computations:

RBF-PDE. This is my primary research area where I'm investigating numerical methods using radial basis functions (RBFs) to solve various types of partial differential equations including elliptic PDEs and other time dependent PDEs. RBFs are used to discretize spatial domains on scattered data.

Awards

NSF Award #1431882 COMPASS: CoOrdinated Math-Physics Assessment for Student Success, 2015--2017. The COMPASS (Co-Ordinated Math and Physics Assessment for Student Success) program will support a national initiative to retain STEM majors and will be designed to aid students to navigate successfully through their first year. In particular, the program will be designed to help students improve their achievements in their introductory courses and increase retention. The proposed approach combines effective educational programs tailored to specific student needs prior to their enrollment.
Graduate Student Award, University of Southern Mississippi, two graduate students received this award per academic year, 2010.
Excellent Graduate Student Award in Heilongjiang Province, China, 2016.

Publications

G. Yao, Karen Bliss, Michelle Crimi, Katie Fowler, Jesse Clark-Stone, and Wen Li, Radial Basis Function Simulation of Slow-Release Permanganate for Groundwater Remediation Via Oxidation, Journal of Computational and Applied Mathematics, 307, 235--247, 2016.

M. Bani-Yaghoub, G. Yao, and H. Voulov, Existence and stability of stationary waves of a population model with strong allee effect, Journal of Computational and Applied Mathematics, 307, 385--393, 2016.

G. Yao, An Improved localized method of approximate particular solutions for solving elliptic PDEs, Computers and Mathematics with Applications, 71(1), 171--184, 2016.

G. Yao, C. S. Chen, Wen Li, and D. L. Young, The localized method of approximated particular solutions for near-singular two- and three-dimensional problems, Computers and Mathematics with Applications, 70, 2883--2894, 2015.

Wen Li, Xiaoyan Liu, and G. Yao, A local meshless collocation method for solving certain inverse problems, Engineering Analysis with Boundary Elements, 57, 9--15, 2015.

C. S. Chen, Xinrong Jiang, Wen Chen, and G. Yao, Fast Solution for Solving the Modified HelmholtzEquationwith theMethod of Fundamental Solutions, Communications in Computational Physics, 17(03), 867--886, 2015.

G. Yao, Jia Duo, C. S. Chen and L. H. Shen, Implicit local radial basis function interpolations based on function values, Applied Mathematics and Computation, 265(15), 91--102, 2015.

Majid Bani-Yaghoub, G. Yao, Masami Fujiwara and David E. Amundsen, Understanding the interplay between density dependent birth function and maturation time delay using a reaction-diffusion population model, Ecological Complexity, 21, 14--26, 2015.

Majid Bani-Yaghoub, G. Yao, and Aaron Reed, Modeling and Numerical Simulations of Single Species Dispersal in Symmetrical Domains, International Journal of Applied Mathematics, 27(6), 525--547, 2014.

Pak-Wing Fok, Xiuling Yan, G. Yao, Analysis of credit portfolio risk in a localized one-factor model, Journal of Credit Risk, 10(4), 45--70, 2014.

Kelly Black and G. Yao, The efficacy of note taking for video examples, PRIUM 24(5), 421--441, 2014.
K. Liu, G. Yao, and Z. Yu, Parallel acceleration for numerical simulations of calcium dynamics in cardiac myocytes, Bio-Medical Materials and Engineering 24(1), 1417-1424, 2014.
G. Yao, Wen Song, A weaker constraint qualification of globally convergent homotopy method for a multiobjective programming problem, Applied Mathematics, 4 (2), 343--347, 2013.
G. Yao, Siraj ul-Islam, and Bozidar Sarler, Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions, Engineering Analysis with Boundary Elements, 36, 1640--1648, 2012.
G. Yao and Zeyun Yu, A localized meshless approach for modeling spatial-temporal calcium dynamics in ventricular myocytes>, International Journal for Numerical Methods in Biomedical Engineering, 28(2), 187--204, 2012.
Zeyun Yu and G. Yao, M. Hoshijima, A. Michailova, and M. Holst, Multi-scale modeling of calcium dynamics in ventricular myocytes with realistic transverse tubules, IEEE Transactions on Biomedical Engineering, Vol. 58 No .10, 2947-2951, 2011.
G. Yao, Joseph Kolibal, and C.S. Chen, A localized approach for the method of approximate particular solutions, Computers and Mathematics with Applications, Vol. 61 No. 9, 2376--2387, 2011.
G. Yao, Bozidar Sarler, and C. S. Chen, A comparison of three meshless methods for diffusion equations using radial basis functions, Engineering Analysis with Boundary Elements, Vol. 35, 600-609, 2011.
G. Yao, Siraj-ul-Islam, and Bozidar Sarler, A comparative study of global and local meshless methods for diffusion-reaction equation, Computer Modeling in Engineering & Sciences , Vol. 59, No. 2, 127--154, 2010.
G. Yao, C. H. Tsai, and Wen Chen, A comparison of three meshless methods for solving high-order elliptic partial differential equations, Engineering Analysis with Boundary Elements, Vol.34, No. 7, 625--631, 2010.
G. Yao, C. S. Chen, and C. C. Tsai, A revisit on the derivation of the particular solution for thin plate vibration, Advances in Applied Mathematics and Mechanics, Vol. 1, No. 6, 750--768, 2009.
G. Yao, C. S. Chen, Marina Jelen, and B. Sarler, Meshless solutions of temperature fields for use in dendritic growth simulations, International Conference on Optimization Using Exergy-Based Methods and Computational Fluid Dynamics, Berlin, Germany, October 20--23, 2009.
Ning E, and G. Yao, The boundedness of the lagrange multiplier set, Natural Sciences Journal of Harbin Normal University, Vol. 124, No. 6, 2008.
Wen Song and G. Yao, Homotopy method for general multiobjective programming problems, Journal of Optimization Theory and Applications, Vol. 138, No.1, 139--153, 2008.
G. Yao and Wen Song, Homotopy method for multi-objective programming problems, Journal of Natural Science of Heilongjiang University, Vol. 24, No. 2, 253--256, 2007.
Jiu Ding and G. Yao, The eigenvalue of a specially updated matrix, Applied Mathematics and Computation, Vol. 185, No. 1, 415--420, 2007.