Guangming Yao

Professor and Chair
Department of Mathematics
Clarkson University

Numerical Analysis | Scientific Computing | Partial Differential Equations | Optimization

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This page contains a complete list of peer-reviewed journal articles, conference proceedings, book chapters, and other scholarly publications. Where available, PDF versions are provided for download.

50+

Publications

880+

Citations

16

h-index

20+

Years of Research

Journal Articles

2026

  1. Yan Ma, Dongfang Yun, and G. Yao, A space-time scaled collocation method with a hybrid base for solving fractional option pricing models, Available at SSRN: https://ssrn.com/abstract=6179155 or http://dx.doi.org/10.2139/ssrn.6179155, 2026.
  1. O. Ogunleye, G. Yao, and J. Zhang, A Homotopy Framework for Constrained Multiobjective Optimization, arXiv preprint arXiv:2605.00003, 2026.

2025

  1. M. Panahazari, G. Yao, J. Zhang, and J. Wang, Cyber-Resilient Distributed Energy Resource Control Algorithms for Smart Distribution Grids, IET Cyber-Physical Systems: Theory & Applications, 10(1), e70032, 2025.

2024

  1. K. Rubasinghe, G. Yao, J. Niu, and G. Tsogtgerel, Corrigendum to Polyharmonic Splines Interpolation on Scattered Data in 2D and 3D with Applications, Engineering Analysis with Boundary Elements, 160, 298, 2024.

2023

  1. K. Rubasinghe, G. Yao, J. Niu, and G. Tsogtgerel, Corrigendum to Polyharmonic Splines Interpolation on Scattered Data in 2D and 3D with Applications, Engineering Analysis with Boundary Elements, 156, 240-250, 2023.
  1. [PDF] 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, 28(3), 469-486, 2023.
  1. [PDF] Kalani Rubasinghe, G. Yao, Wen Li, and Gantumur Tsogtgerel, Solving Nonlinear Elliptic PDEs in 2D and 3D Using Polyharmonic Splines and Low-Degree Polynomials, International Journal of Computational Methods, 20(8), 2250051, 2023.
  1. [PDF] Shawn Koohy, G. Yao, and 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, 7, 100499, 2023.
  1. [PDF] C. Ding, B. Zhang, C. Liang, K. Visser, and 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

  1. [PDF] Evan Davis, G. Yao, Elizabeth Javor, Kalani Rubasinghe, and Luis Galvan, A Test of a Backward Stochastic Differential Equations Solver for Solving Semilinear Parabolic Differential Equations in 1D and 2D, Partial Differential Equations in Applied Mathematics, 6, 100457, 2022.
  1. [PDF] Wen Li, B. N. 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

  1. Mohammad Partohaghighi, E. K. Akgul, G. W. Weber, G. Yao, and A. Akgul, Recovering Source Term of the Time-Fractional Diffusion Equation, Pramana, 95(4), 1-8, 2021.
  2. Mohammad Partohaghighi, Ali Akgul, E. K. 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

  1. [PDF] 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.
  2. [PDF] 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.
  3. [PDF] 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.
  4. [PDF] G. Yao, K. Black, and M. Ramsdell, CoOrdinated Math-Physics Assessment as an Alternative Pathway in Early STEM, PRIMUS, 30(1), 97-122, 2020.
  5. [PDF] G. Yao, K. Black, M. Ramsdell, M. Voigt, K. Kattadige, and W. Li, CoOrdinated Math-Physics Assessment for Student Success (COMPASS): Assessments on Continuing Mathematics Courses and Attitudes Toward Mathematics, ASEE Virtual Conference at Home with Engineering Education, Paper #28410, 2020.

2019

  1. R. D. Parshad, G. Yao, and Wen Li, [PDF] Another Mechanism to Control Invasive Species and Population Explosion: Ecological Damping Continued, Differential Equations and Dynamical Systems, 27(1-3), 249-276, 2019.
  1. Jing Niu, Minqiang Xu, and G. Yao, [PDF] An Efficient Reproducing Kernel Method for Solving the Allen-Cahn Equation, Applied Mathematics Letters, 89, 78-84, 2019.
  1. Wen Li, G. Yao, and Jing Niu, [PDF] The Modified Localized Method of Approximated Particular Solutions for Solving Elliptic Equations with Mixed Boundary Conditions on Scattered Data, Engineering Analysis with Boundary Elements, 100, 164-174, 2019.

2018

  1. [PDF] H. Zheng, G. Yao, L. H. Kuo, and X. Li, On the Selection of a Good Shape Parameter for the Localized Method of Approximated Particular Solutions, Advances in Applied Mathematics and Mechanics, 10(4), 896-911, 2018.
  2. [PDF] 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

  1. [PDF] 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.
  2. [PDF] Wen Li, Guohui Song, and G. Yao, Piecewise Moving Least Squares Approximation, Applied Numerical Mathematics, 115, 68-81, 2017.

2016

  1. [PDF] 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.
  2. [PDF] Majid 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.
  3. [PDF] G. Yao, An Improved Localized Method of Approximate Particular Solutions for Solving Elliptic PDEs, Computers & Mathematics with Applications, 71(1), 171-184, 2016.

2015

  1. [PDF] 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 & Mathematics with Applications, 70, 2883-2894, 2015.
  2. [PDF] 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.
  3. [PDF] C. S. Chen, Xinrong Jiang, Wen Chen, and G. Yao, Fast Solution for Solving the Modified Helmholtz Equation with the Method of Fundamental Solutions, Communications in Computational Physics, 17(3), 867-886, 2015.
  4. [PDF] 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, 91-102, 2015.
  5. [PDF] 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

  1. [PDF] 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.
  2. [PDF] 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.
  3. [PDF] Kelly Black and G. Yao, The Efficacy of Note Taking for Video Examples, PRIMUS, 24(5), 421-441, 2014.
  4. [PDF] 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

  1. [PDF] G. Yao and Wen Song, A Weaker Constraint Qualification for a Globally Convergent Homotopy Method for Multiobjective Programming Problems, Applied Mathematics, 4(2), 343-347, 2013.

2012

  1. [PDF] 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.
  2. [PDF] G. Yao and Zeyun Yu, A Localized Meshless Approach for Modeling Spatiotemporal Calcium Dynamics in Ventricular Myocytes, International Journal for Numerical Methods in Biomedical Engineering, 28(2), 187-204, 2012.

2011

  1. [PDF] Zeyun Yu, 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, 58(10), 2947-2951, 2011.
  2. [PDF] G. Yao, Joseph Kolibal, and C. S. Chen, A Localized Approach for the Method of Approximate Particular Solutions, Computers & Mathematics with Applications, 61(9), 2376-2387, 2011.
  3. [PDF] 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, 35, 600-609, 2011.

2010

  1. [PDF] G. Yao, Siraj ul-Islam, and Bozidar Sarler, A Comparative Study of Global and Local Meshless Methods for Diffusion-Reaction Equations, Computer Modeling in Engineering & Sciences, 59(2), 127-154, 2010.
  2. [PDF] 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, 34(7), 625-631, 2010.

2009

  1. [PDF] 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, 1(6), 750-768, 2009.

2008

  1. [PDF] Ning E. and G. Yao, The Boundedness of the Lagrange Multiplier Set, Natural Sciences Journal of Harbin Normal University, 124(6), 2008.
  2. [PDF] Wen Song and G. Yao, Homotopy Method for General Multiobjective Programming Problems, Journal of Optimization Theory and Applications, 138(1), 139-153, 2008.

2007

  1. [PDF] G. Yao and Wen Song, Homotopy Method for Multiobjective Programming Problems, Journal of Natural Science of Heilongjiang University, 24(2), 253-256, 2007.
  2. [PDF] Jiu Ding and G. Yao, The Eigenvalue of a Specially Updated Matrix, Applied Mathematics and Computation, 185(1), 415-420, 2007.

Conference Proceedings

2024

  1. S. Murphy, O. Ogunleye, K. Rubasinghe, and G. Yao, Comparison between RBF and FDM for Solving Nonlinear Time-Dependent PDEs Using Newton's Method, Journal of Physics: Conference Series, 2766(1), 012166, 2024.

2023

  1. M. Panahazari, G. Yao, and J. Zhang, Distribution Grid Services Performance Analysis for Cyber-Resilient Online Feedback-Based DER Control, 2023 IEEE International Conference on Communications, Control, and Computing Technologies for Smart Grids (SmartGridComm), 2023.
  1. G. Yao, K. Black, A. Beecher, K. Kavanagh, and S. Horton, Anticipating the 2023 COMAP Modeling Contests, COMAP Consortium Newsletter, 56(1), 2023.

2022

  1. [PDF] 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, Paper 1147, 2022.

2009

  1. [PDF] G. Yao, C. S. Chen, Marina Jelen, and Bozidar 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.