Qingguo Hong

Dr. Qingguo Hong is an Assistant Professor in the Department of Mathematics and Statistics at Missouri University of Science and Technology. His research focuses on numerical analysis, numerical PDEs, applied and computational mathematics, and deep learning. He holds a Ph.D. in Computational Mathematics from Peking University (2012), an M.S. from Xiangtan University (2008), and a B.S. in Information and Computational Science from Xiangtan University (2005). Prior to his current position, he held roles as a Research Scientist at the Johann Radon Institute for Computational and Applied Mathematics (Austria), Postdoctoral Scholar at the University of Duisburg-Essen (Germany), and Assistant Research Professor at Pennsylvania State University (USA). His work emphasizes innovative numerical methods, including extended Galerkin techniques, neural network-driven PDE solvers, and robust approximation frameworks for complex physical models like superconductivity and poromechanics.

Research Interests:

• Numerical methods for partial differential equations (PDEs)
• Discontinuous Galerkin methods and finite element analysis
• Deep learning applications in scientific computing
• Stability analysis of numerical algorithms
• Phase-field modeling and material science simulations

Publications Trends: Dr. Hong's recent work (2021-2025) emphasizes advancements in numerical PDEs through hybrid approaches combining classical methods (e.g., Korn’s inequalities, Galerkin methods) with modern machine learning tools (neural networks). Key themes include:

• Development of efficient algorithms for time-dependent and coupled PDE systems
• Stability frameworks for perturbed saddle-point problems
• Applications in superconductivity, poromechanics, and elasticity
• Robust discretization techniques for fluid-structure interactions

Grants & Advising: While specific grants are not listed, his academic trajectory reflects sustained support through postdoctoral and research roles. He currently advises students in numerical analysis and computational mathematics.