High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems. - Qiao Zhuang; Ruchi Guo (J. Comput. Appl. Math., 2019)

Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems. - Tao Lin 003; Qiao Zhuang (J. Comput. Appl. Math., 2020)

Error Estimates for an Immersed Finite Element Method for Second Order Hyperbolic Equations in Inhomogeneous Media. - Slimane Adjerid; Tao Lin 003; Qiao Zhuang (J. Sci. Comput., 2020)

Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. - Ruchi Guo; Tao Lin 003; Yanping Lin; Qiao Zhuang (J. Comput. Appl. Math., 2021)

Two-scale Neural Networks for Partial Differential Equations with Small Parameters. - Qiao Zhuang; Chris Ziyi Yao; Zhongqiang Zhang; George Em Karniadakis (CoRR, 2024)

Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. - Qiao Zhuang; Alfa R. H. Heryudono; Fanhai Zeng; Zhongqiang Zhang (Appl. Math. Comput., 2024)