A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration. - Qijia Zhai; Qingguo Hong; Xiaoping Xie (CoRR, 2023)

A Priori Error Estimation of Physics-Informed Neural Networks Solving Allen-Cahn and Cahn-Hilliard Equations. - Guangtao Zhang; Jiani Lin; Qijia Zhai; Huiyu Yang; Xujun Chen; Xiaoning Zheng; Ieng Tak Leong (CoRR, 2024)

Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow. - Min Zhang; Zimo Zhu; Qijia Zhai; Xiaoping Xie (CoRR, 2024)

A projection-based time-segmented reduced order model for fluid-structure interactions. - Qijia Zhai; Shiquan Zhang; Pengtao Sun; Xiaoping Xie (J. Comput. Phys., 2025)