Clarkson University

G. Yao

Division of Math and C.S.

Clarkson University

gyao@clarkson.edu

Office: SC 363

Office Phone: (315)268-6496

 

About Me      Teaching      Publications      Research Interests      Activities      Students      Useful Links      AWM at Clarkson      PME at Clarkson      MCCNNY and REU

 

 

 Refereed Publications:

 

Accepted:

48.       Kalani Rubasinghe, G. Yao, Jing Niu, Gantumur Tsogtgerel, Polyharmonic splines interpolation on scattered data in 2D and 3D with applications, Accepted Aug 2, 2023, Engineering Analysis with Boundary Elements.

2023

47.       Ruifeng Xie, Jian Zhang, Jing Niu, Wen Li, and G. Yao, An reproducing kernel method for solving singularly perturbed delay parabolic partial differential equations, Mathematical Modelling and Analysis, Vol 28 Issue 1, 1--18, 2023.

46.       Kalani Rubasinghe, G. Yao, Wen Li, and Gantumur Tsogtgerel, Solving nonlinear elliptic PDEs in 2D and 3D using polyharmonic splines and low-degree of polynomials, International Journal of Computational Methods, published online 2023/5/26.

45.       Shawn Koohy, G. Yao, Kalani Rubasinghe, Numerical solutions to low and high-dimensional Allen-Cahn equations using stochastic differential equations and neural networks, Partial Differential Equations in Applied Mathematics, Volume 7, June 2023, 100499.

44.       C. Ding , B. Zhang, C. Liang, K. Visser, G. Yao, High-Order Large Eddy Simulations of a Wind Turbine in Ducted and Open-Rotor Configurations, Journal of Fluids Engineering 145 (2), 021201, 2023.

2022

43.       Evan Davis, G. Yao, Elizabeth Javor, Kalani Rubasinghe, Luis Galvan, A test of backward stochastic differential equations solver for solving semilinear parabolic differential equations in 1D and 2D, Partial Differential Equations in Applied Mathematics, Vol 6, Pages 100457, ISSN 2666-8181, 2022.

42.       Chi Ding, Bin Zhang, Chunlei Liang, Ken Visser, and G. Yao, High-Order Large Eddy Simulations of a Ducted Wind Turbine, AIAA SCITECH 2022 Forum, 1147, 2022.

41.       Wen Li, BN Nzeribe, G.R. Liu, G. Yao, Michelle Crimi, Kalani Rubasinghe, Craig Divine, Jeff Mcdonough, and Jack Wang, Modelling, simulation and analysis of groundwater flow captured by the horizontal reactive media well using the cell-based smoothed radial point interpolation method, Advances in Water Resources, 104089, 2022.

2021

40.       Mohammad Partohaghighi, EK Akgul, GW. Weber, G. Yao, and A Akgul, Recovering source term of the time-fractional diffusion equation, Pramana, 95 (4), 1--8, 2021.

39.       Mohammad Partohaghighi, Ali Akgul, EK Akgul, J. Asad, R. Safdar, and G. Yao, New numerical simulation of the oscillatory phenomena occurring in the bioethanol production process, Biomass Conversion and Biorefinery, 1-15, 2021.

2020

38.       Blossom Nwedo Nzeribe, Wen Li, Michelle Crimi, G. Yao, Craig Divine, Jeff Mcdonough, and Jack Wang, The horizontal reactive media treatment well for passive in Situ remediation: pilot tests and numerical model, Groundwater Monitoring \& Remediation 40 (3), 30--41, 2020.

37.       Majid Bani-Yaghoub, Chun-Hua Qu and G. Yao, Delay-induced instabilities of stationary solutions in a single species nonlocal hyperbolic-parabolic population model, Discrete and Continuous Dynamical Systems Series S, 13 (9), 2509--2535, 2020.

36.       Wen Li, Kalani Rubasinghe, G. Yao, and L. H. Kuo, The localized method of approximated particular solutions for linear and nonlinear convection-diffusion-reaction PDEs, Advances in Applied Mathematics and Mechanics, 12 (5), 1113-1136, 2020.

35.       G. Yao, K. Black, M. Ramsdell, CoOrdinated math-physics assessment as an alternative pathway in early STEM, PRIMUS, 30(1), 97--122, 2020.

34.       G. Yao, K. Black, M. Ramsdell, M. Voigt, K. Kattadige, and W. Li, , CoOrdinated Math-Physics Assessment for Student Success (COMPASS) assessments on continuing math courses and attitude toward math, ASEE's Virtual Conference at Home with Engineering Education, Paper ID #28410, June 22-26, 2020.

2019

33.       RD Parshad, G. Yao, and Wen Li, Another Mechanism to Control Invasive Species and Population Explosion: Ecological Damping Continued, Differential Equations and Dynamical Systems, Volume 27, Ussue 1--3, 249--276, 2019.

32.       Jing Niu, Minqiang Xu, and G. Yao, An efficient reproducing kernel method for solving the Allen-Cahn equation, Applied Mathematics Letters, 89, 78--84, 2019.

31.       W. Li, G. Yao, and Jing Niu, The modified localized method of approximated particular solutions for solving elliptic equations with mixed boundary conditions on scattered data, Engineering Analysis and Boundary Elements, Vol 100, 164--174, 2019.

2018

30.       H. Zheng, G. Yao, L. H. Kuo, and X. Li, On the selection of a good shape parameter of the localized method of approximated particular solutions, Advances in Applied Mathematics and Mechanics, 10(4), 896--911, 2018.

29.       V. Pratap, Y. Chen, G. Yao, and S. Nakao, Temperature effects on multiphase reactions of organic molecular markers: A modeling study, Atmospheric Environment, 179, 40--48, 2018.

2017

28.       G. Yao, C. S. Chen, and Hui Zheng, A Modified Method of Approximate Particular Solutions for Solving Linear and Nonlinear PDEs, Numerical Methods for Partial Differential Equations, 33, 1839--1858, 2017.

27.       Wen Li, Guohui Song, and G. Yao, Piecewise moving least squares approximation, Applied Numerical Mathematics, Vol 115, 68--81, 2017.

2016

26.       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.

25.       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.

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

2015

23.       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.

22.       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.

21.      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.

20.       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.

19.       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.

2014

18.      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.

17.       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.

16.       Kelly Black and G. Yao, The efficacy of note taking for video examples, PRIUM 24(5), 421--441, 2014.

15.       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.

2013

14.       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.

2012

13.     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.

12.       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.

2011

11.       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.

10.    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.

9.    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.

2010

8.    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.

7.    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.

2009

6.  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.

5.  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.

2008

4.    Ning E, and G. Yao, The boundedness of the lagrange multiplier set, Natural Sciences Journal of Harbin Normal University, Vol. 124, No. 6, 2008.

3.    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.

2007

2.    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.

1.    Jiu Ding and G. Yao, The eigenvalue of a specially updated matrix, Applied Mathematics and Computation, Vol. 185, No. 1, 415--420, 2007.