Email xxxx@connect.hku.hk, where xxxx = hnwu

About

I will join the School of Mathematical Sciences, Xiamen University as an assistant professor in fall 2026. I have held postdoctoral positions with Xiaosheng Zhuang in applied harmonic analysis at City University of Hong Kong, with Weiwei Hu in PDE control at the University of Georgia, and with Dong Li in the analysis of PDEs at the University of Hong Kong. I obtained my PhD degree from the University of Hong Kong in 2023, and completed my BSc degree at Jinan University, Guangzhou, China in 2019, both in mathematics. My PhD advisor was Xiaoming Yuan.

My research focuses on the mathematical foundations of sampling, approximation, and computation for problems in continuous mathematics. These problems arise from the following closely related fields:

❏ Sampling theory, approximation theory, and applied harmonic analysis.
❏ Constructive approximation approaches for PDEs and integral equations.
❏ Control and optimization of systems governed by PDEs and integral equations.

My curriculum vitae.

News

• [Jun. 23, 2026] New preprint: When do perturbed Chebyshev–Lobatto points remain Chebyshev?
• [Jun. 8, 2026] My paper "Marcinkiewicz–Zygmund stability of quadrature-based Galerkin schemes" has been accepted for publication in Applied Mathematics Letters.
• [May 18, 2026] New preprint: Hyperinterpolation beyond exact cubature: a spectral multiplier approach.
• [Jan. 21, 2026] Our submission "Optimal time scheduling for a simple reparable system," a joint work with D. O. Adu, A. J. Brower, and W. Hu, has been accepted by the 2026 American Control Conference (ACC).
• [Jan. 8, 2026] We are organizing the 2026 Georgia Scientific Computing Symposium at the University of Georgia on Saturday, February 21, 2026. Glad to have you!


• Archived

Travel Plans

• HANGZHOU, China (Jun 27 - Jul 2, 2027) — BIRS-IASM Workshop on "Emerging Trends in Control, Optimization, and Scientific Computing for Infinite-Dimensional Systems."


• Past Travels

Research Repository

See my publications and codes in the databases above or the full list below (click to open):

Complete list of publications


Not yet appeared
When do perturbed Chebyshev–Lobatto points remain Chebyshev?
Submitted. arXiv:2606.23409

Hyperinterpolation beyond exact cubature: a spectral multiplier approach
Submitted. arXiv:2605.17739

Cellular flow control design for mixing based on the least action principle, with W. Hu and M.-J. Lai
Submitted. arXiv:2510.22703

Optimal time scheduling for a simple reparable system, with D. O. Adu, A. J. Brower, and W. Hu
Proceedings of 2026 American Control Conference (ACC), to appear

Marcinkiewicz--Zygmund inequalities for scattered data on polygons
Submitted. arXiv:2411.16584

Breaking quadrature exactness: A spectral method for the Allen--Cahn equation on spheres, with X. Yuan
Submitted. arXiv:2305.04820



2026
Marcinkiewicz–Zygmund stability of quadrature-based Galerkin schemes
Appl. Math. Lett., 182 (2026), 110033

Spherical configurations and quadrature methods for integral equations of the second kind, with C. An
SIAM J. Numer. Anal., 64 (2026), 148-169



2025
The path of hyperinterpolation: A survey, with C. An and J. Ran
Dolomites Res. Notes Approx., 18.1 (2025), 135-145



2024
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?, with C. An
J. Approx. Theory, 299 (2024), 106013

Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere, with C. An
J. Complexity, 80 (2024), 101789


2023
Restricted isometry and information-based numerical analysis
PhD Thesis (2023), The University of Hong Kong

Enhanced total variation minimization for stable image reconstruction, with C. An and X. Yuan
Inverse Probl., 39 (2023), 075005



2022
On the quadrature exactness in hyperinterpolation, with C. An
BIT Numer. Math., 62 (2022), 1899-1919

The springback penalty for robust signal recovery, with C. An and X. Yuan
Appl. Comput. Harmon. Anal., 61 (2022), 319-346



2021
Lasso hyperinterpolation over general regions, with C. An
SIAM J. Sci. Comput., 43 (2021), A3967–A3991

Tikhonov regularization for polynomial approximation problems in Gauss quadrature points, with C. An
Inverse Probl., 37 (2021), 015008

Here is a word cloud generated from the text data of my research articles using the Text Analytics Toolbox in MATLAB (Apr 2026)

More about Me

Every Chinese name carries a specific and unique meaning, and mine is no exception. Hao (浩) signifies "vast and torrential water," while Ning (宁) represents "to pacify and stabilize." Thus, my name, Hao-Ning, depicts a scene where mighty water finally finds serenity.

I am originally from Wanxian, Sichuan (now Wanzhou district, Chongqing), a city nestled on the banks of the Yangtze River in southwestern China. It lies on the eastern rim of the Sichuan Basin, where the Upper Yangtze River turns from a northeastern to an eastward course. Just beyond this bend, the river begins her legendary passage through the majestic mountains, carving out the famously known Three Gorges.

I love exploring the world, especially by air and road. I am also an avid museum enthusiast, particularly drawn to museums dedicated to natural and human history. Yet, I find little appeal in the realm of postmodern art.

I appreciate the Hardy–Littlewood tradition of alphabetical authorship.
... My Erdős number is 3:
❏ Paul Erdős - Charles K. Chui - Ming-Jun Lai - W.