Current Professional Societies

Member of Chinese Mathematical Society;

Member of Beijing Society of Computational Mathematics.

Research Areas

Finite Element Methods;

Numerical methods for integral equations and delay differential equations.

Honors

1. The National Nature Science Foundation of China (2018-2019, 2016-2019, 2012-2014);

2. Beijing NOVA Program (2015-2017);

3. Beijing Natural Science Foundation (2011-2013);

4. Program for Rixin Talents in Beijing University of Technology (2013-2015);

5. Open Fund of Key Lab of Ministry of Education.(2012-2013);

6. Youth Talent Cultivation Plan of Beijing Municipal Commission of Education (2015-2017);

7. General program of science and technology development project of Beijing Municipal Education Commission (2015-2017).

Publications

1. F. Xu and Q. Huang, A type of cascadic multigrid method for coupled semilinear elliptic equations, Numerical Algorithms, 83 (2020), 485-510.

2. Q. Huang, K. Jiang, and X. Xu, Postprocessing of Continuous Galerkin Solutions for Delay Differential Equations with Nonlinear Vanishing Delay, Int. J. Numer. Anal. Modeling, 16 (2019), 718-730.

3. X. Xu and Q. Huang*, Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay，J. Comput. Appl. Math., 348 (2019), 314–327.

4. Q. Huang, D. Li, and J. Zhang, Numerical Investigations of a Class of Biological Models on Unbounded Domain, Numer. Math. Theor. Meth. Appl., 12 (2019), 154-168.

5. Q. Huang, X. Yang, and X. He, Numerical Approximations for a Smectic–a liquid Crystal Flow Model: First-order, Linear, Decoupled and Energy Stable Schemes, Discrete Cont. Dyn-B, 23 (2018), 2177-2192.

6. W. Cao and Q. Huang, Superconvergence of Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives, J Sci. Comput., 72 (2017), 761-791.

7. Q. Huang, X. Xu and H. Brunner, Continuous Galerkin Methods on Quasi- geometric Meshes for Delay Differential Equations of Pantograph Type, Discrete Cont. Dyn--A, 36 (2016), 5423-5443.

8. X. Xu, Q. Huang* and H. Chen, Local Superconvergence of Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type, J Comp Math, 34 (2016), 186-199.

9. X. Xu and Q. Huang*, Discontinuous Galerkin methods on quasi-graded meshes for delay differential equations with nonlinear delay, Mathematica Numerica Sinica, 38 (2016), 281-288 (in Chinese).

10. X. Xu and Q. Huang*, Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type, Mathematics in Practice and Theory, 2014 (in Chinese).

11. Q. Huang, H. Xie, and H. Brunner. The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay. SIAM J. Sci. Comput., 35 (2013), A 1604-1620.

12. Q. Huang, H. Xie, and H. Brunner. Superconvergence of discontinuous Galerkin solutions for delay differential equations of pantograph type. SIAM J. Sci. Comput., 33 (2011), 2664-2684.

13. H. Brunner., Q. Huang*, and H. Xie. Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type. SIAM Journal on Numerical Analysis, 48 (2010), 1944-1967.

14. Q. Huang, S. Zhang. Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations. Numerical Methods for Partial Differential Equations, 26 (2010), 290-304.

15. Q. Huang and H. Xie, Superconvergence of the interpolated Galerkin solutions for Hammerstein equations, Int. J. Numer. Anal. Modeling, 6 (2009), 696-710.

16. Q. Huang and Y. Yang. A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations. J Comp Math, 26 (2008), 598- 612.

17. Matlab experiments on extrapolations of collocation methods for eigenvalue problems of Fredholm integral equations, Mathematics in Practice and Theory, 37 (2007), 163-168 (in Chinese).

18. Y. Yang and Q. Huang, A posteriori error estimator for spectral approximations of completely continuous operators, Int. J. Numer. Anal. Modeling, 3 (2006), 361-370.