Email
qzhuang@wpi.edu
Office
Armenian Church 013

My research focuses on developing and analyzing efficient numerical methods for problems arising in science and engineering. 

My research interests span traditional numerical methods and machine learning and data science. Some of the topics I investigate include neural networks for multiscale and singularly perturbed problems, nonlinear approximations by neural networks and radial basis functions for PDEs, error estimates of neural networks for conditionally stable PDEs, unfitted finite element methods for interface problems, and numerical methods for nonlocal PDEs. 

At WPI, I mainly work with Prof. Zhongqiang Zhang and Prof. Marcus Sarkis.

Research Interests
Numerical Analysis and Scientific Computing; Numerical Methods for PDEs
Finite Element Methods; Discontinuous Galerkin Methods; Collocation Methods
Scientific Machine Learning
Numerical Methods for Nonlocal PDEs

Scholarly Work

6. Ruchi Guo, Tao Lin, Yanping Lin and Qiao Zhuang*. Error analysis of symmetric linear/bilinear partially penalized immersed finite element methods for Helmholtz interface problems. Journal of Computational and Applied Mathematics 390, 113978, (2021).

5. Tao Lin and Qiao Zhuang*.  Optimal error bounds for partially penalized immersed finite element methods for parabolic interface problems. Journal of Computational and Applied Mathematics, 336, 112401, (2020).

4. Tao Lin, Yanping Lin and Qiao Zhuang. Solving Interface Problems of the Helmholtz Equation by Immersed Finite Element Methods. Communications on Applied Mathematics and Computation, 1(2), 187-206, (2019).

3. Ruchi Guo, Tao Lin and Qiao Zhuang. Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. International Journal of Numerical Analysis and Modeling, 16(4), 575-589, (2019).

2. Qiao Zhuang and Ruchi Guo. High degree discontinuous Petrov Galerkin immersed finite element methods using fictitious elements for elliptic interface problems. Journal of Computational and Applied Mathematics, 362, 560-573, (2019).

1. Qiao Zhuang, Bo Yu and Xiaoyun Jiang. An inverse problem of parameter estimation for time-fractional heat conduction in a composite medium using carbon-carbon experimental data. Physica B: Condensed Matter, 456 (2015), 9-15.

News

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