Archived News

• [Dec. 28, 2023] Our paper "Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?", a joint work with Dr. C. An as well as Chapter 3 of my thesis, has been accepted for publication in the Journal of Approximation Theory.
• [Aug. 09, 2023] Our paper "Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere," a joint work with Dr. C. An as well as Chapter 4 of my thesis, has been accepted for publication in the Journal of Complexity.
• [Jun. 26, 2023] I successfully defended my doctoral thesis today! It would not have been possible without my advisor Prof. Xiaoming Yuan. I am also very grateful to Prof. Xiaobing Feng, Prof. Dr. Gitta Kutyniok, Prof. Zhiwen Zhang, and Prof. Xiaosheng Zhuang for their invaluable time and effort in my thesis examination.
• [May 18, 2023] Our paper "Enhanced total variation minimization for stable image reconstruction," jointly with Dr. C. An and Prof. X. Yuan, has been accepted for publication in Inverse Problems. The paper has been published online, and two MATLAB demos are available here.
• [May 18, 2023] New homepage online! The previous nearly 4-year-old homepage www.hnwumath.com is scheduled to be terminated.
• [Jan. 09, 2023] I am visiting the University of Sydney until Jan. 27. 
• [Aug. 23, 2022] Our paper "On the quadrature exactness in hyperinterpolation", jointly with Dr. C. An, has been accepted for publication in BIT Numerical Mathematics. [Link]
• [Aug. 02, 2022] We have released MATLAB codes to reproduce figures in the paper of springback. [Link]
• [Jul. 04, 2022] Our paper "The springback penalty for robust signal recovery", jointly with Dr. C. An and Prof. X. Yuan, has been accepted for publication in Applied and Computational Harmonic Analysis. [Link]
• [Sept. 03, 2021] We have released MATLAB codes to reproduce figures in the paper of Lasso hyperinterpolation. [Link]
• [Aug. 26, 2021] Our paper "Lasso hyperinterpolation over general regions", jointly with Dr. C. An, has been accepted for publication in SIAM Journal on Scientific Computing.
• [Nov. 25, 2020] Our paper "Tikhonov regularization for polynomial approximation problems in Gauss quadrature points", jointly with Dr. C. An, has been accepted for publication in Inverse Problems. [Link]
• [Aug. 06, 2019] My undergraduate thesis entitled Regularized least squares approximation using orthogonal polynomials  has been selected as a merit undergraduate thesis by JNU. [Link]
• [Jun. 04, 2019] New homepage online! (Amended on May 17, 2023: the maintainance of this homepage www.hnwumath.com is scheduled to be terminated.)