About

Sun, Zhengjie (孙正杰) is an Associate Professor at the School of Mathematics and Statistics, Nanjing University of Science and Technology. He received his Ph.D. from Fudan University in 2018. His research focuses on scattered data approximation, numerical analysis, and meshless methods for partial differential equations (PDEs).

If you are interested in my work and would like to chat or collaborate, please email me at zhengjiesun@njust.edu.cn .

Research Interests

• Scattered data approximation
• Radial basis functions
• Meshless methods
• Structure-preserving schemes

We focus on the theory and applications of kernel-based meshless methods. In particular, we study interpolation and quasi-interpolation schemes of radial basis functions, and develop meshless structure-preserving algorithms for time-dependent PDEs. Recently, our interests include high-dimensional function approximation and numerical solutions for PDEs on manifolds.

Selected Publications

• Sun, Z., Gao, W., & Sun, X. (2025). Scaled zonal kernel quasi-interpolation on spheres. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/draf104
• Sun, Z., & Ling, L. (2024). A high-order meshless linearly implicit energy-preserving method for nonlinear wave equations on Riemannian manifolds. SIAM Journal on Scientific Computing, 46(6), A3779–A3802.
• Gao, W., Wang, J., Sun, Z., & Fasshauer, G. E. (2024). Quasi-interpolation for high-dimensional function approximation. Numerische Mathematik, 156, 1855–1885.
• Sun, Z., & Ling, L. (2022). A kernel-based meshless conservative Galerkin method for solving Hamiltonian wave equations. SIAM Journal on Scientific Computing, 44(4), A2789–A2807.
• Sun, Z., Ling, L., & Chen, M. (2025). Structure-preserving kernel-based methods for solving dissipative PDEs on surfaces. Journal of Scientific Computing, 102(3), 70.