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 (in each field):
(* Corresponding author. Numerical analysis papers follow alphabetical order if I am not the first author.)
Scientific Machine Learning for PDEs:
Changhong Mou, Yeyu Zhang, Xuewen Zhu and Qiao Zhuang*. PAS-Net: Physics-informed Adaptive Scale Deep Operator Network, Submitted (2025). [arXiv]
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]
Machine Learning for Science:
C. Liu, Y. Liu, T. Wang, Q. Zhuang, J. C. Liang, W. Yang, R. Xu, Q. Wang, D. Liu, and C. Han. On-the-Fly VLA Adaptation via Test-Time Reinforcement Learning, submitted (2026). [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, Electronic Research Archive, 34(2): 1124-1156, (2026). [Journal]
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. Journal of Computational and Applied Mathematics, 476: 117126 (2025). [Journal]
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]