θ schemes for finite element discretization of the space-time fractional diffusion equations. - Qingguang Guan; Max D. Gunzburger (J. Comput. Appl. Math., 2015)

Some Estimates for Virtual Element Methods. - Susanne C. Brenner; Qingguang Guan; Li-Yeng Sung (Comput. Methods Appl. Math., 2017)

Analysis and approximation of a nonlocal obstacle problem. - Qingguang Guan; Max D. Gunzburger (J. Comput. Appl. Math., 2017)

Weak Galerkin finite element method for Poisson's equation on polytopal meshes with small edges or faces. - Qingguang Guan (J. Comput. Appl. Math., 2020)

Coupled diffusion-reaction systems with ODE controlled interfaces: existence, uniqueness and an implicit-explicit finite element scheme. - Qingguang Guan; Gillian Queisser (CoRR, 2021)

Modeling calcium dynamics in neurons with endoplasmic reticulum: Existence, uniqueness and an implicit-explicit finite element scheme. - Qingguang Guan; Gillian Queisser (Commun. Nonlinear Sci. Numer. Simul., 2022)

Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation. - Wenju Zhao; Qingguang Guan (Commun. Nonlinear Sci. Numer. Simul., 2023)

Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. - Qingguang Guan; Gillian Queisser; Wenju Zhao (Comput. Math. Appl., 2023)

Hybrid PDE-Deep Neural Network Model for Calcium Dynamics in Neurons. - Abel Gurung; Qingguang Guan (CoRR, 2024)

How Can Deep Neural Networks Fail Even With Global Optima? - Qingguang Guan (CoRR, 2024)