My full list of publications/preprints can be found at this Google Scholar page or ResearchGate site.
My full list of publications/preprints can be found at this Google Scholar page or ResearchGate site.
Representative Recent Works:
Scientific Machine Learning for PDEs:
Qiao Zhuang, Chris Ziyi Yao, Zhongqiang Zhang and George Em Karniadakis. Two-scale Neural Networks for Partial Differential Equations with Small Parameters, Communications in Computational Physics, 38(3): 603-629, (2025). [Journal] [arXiv]
Radial Basis Function Methods:
Qiao Zhuang*, Yanzhi Zhang, and Zhongqiang Zhang. Meshless Collocation Methods for Time-dependent Nonlocal Problems Based on Radial Basis Functions, submitted (2025).
Qiao Zhuang, Alfa Heryudono, Fanhai Zeng and Zhongqiang Zhang. Collocation Methods for Integral Fractional Laplacian and Fractional PDEs Based on Radial Basis Functions. Applied Mathematics and Computation, 469:128548, (2024). [Journal] [SSRN]
Immersed Finite Element Methods for Interface Problems:
Qiao Zhuang, Zhongqiang Zhang, Marcus Sarkis and Tao Lin. Higher Degree Rectangular Immersed Finite Elements Discontinuous Galerkin Methods for Elliptic Interface Problems. Submitted.
Jin Wang, Xu Zhang and Qiao Zhuang*. An Immersed Crouzeix-Raviart Finite Element Method for Navier-Stokes Interface Problems With Moving Interfaces. International Journal of Numerical Analysis and Modeling, 19(4):563-586, (2022) . [Journal]
Slimane Adjerid, Tao Lin and Qiao Zhuang*. Error estimates for an immersed finite element method for second order hyperbolic equations in inhomogeneous media. Journal of Scientific Computing 84:35, (2020). [Journal]