郑继会，汉族，1991年12月出生于贵州省正安县，主要从事偏微分方程数值解的研究。

一、学习经历

2022-09至2026-07，贵州师范大学，计算数学，博士

2019-09至2022-07，贵州师范大学，计算数学，硕士

2014-09至2018-07，贵州师范大学，数学与应用数学，学士

二、主要研究成果

1.研究论文

（1）Jihui Zheng, Waixiang Cao, Jing An, A novel spectral method and errorestimates for fourth-order problems with mixed boundary conditions in a cylindrical domain, Computers and Mathematics with Applications, 2023, 152: 221–238.

（2）Jihui Zheng, Jing An, Legendre-Fourier spectral approximation and error analysis for nonlinear eigenvalue problems in complex domains,  Journal of Applied Mathematics and Computing , 2025, 1-28.

（3）Jihui Zheng, Zhenlan Pan, Jing An, A novel BDF-spectral method and its error analysis for Cahn-Hilliard equation in polar geometry, Mathematics and Computers in Simulation, 2025, 237: 145–166.

（4）Jihui Zheng , Jing An, Stability and error estimation based on a difference-spectral approximation for the Cahn–Hilliard equation in complex domains, Calcolo, 2025, 62(2): 14.

（5）Jihui Zheng, Rui Peng, Jiong Cheng, Jing An, Wenzhao Zhang, Nonlocal nonreciprocal optomechanical circulator, Chinese Physical B, 2022, 31: 054204-1-054204-9.

（6）Jihui Zheng, Jing An, A novel spectral method and rigorous error analysis for the interior transmission problem, Journal of Mathematical Analysis and Applications , 2025, 129296.

（7）Jihui Zheng, Jing An, A Legendre spectral-Galerkin method for fourth-order problems in cylindrical regions, Numerical Methods for Partial Differential Equations, 2024, 40(2): e23071.

（8）Jihui Zheng, Jing An, Spectral Galerkin approximation and error analysis based on a mixed scheme for fourth-order problems in complex regions, Numerical Methods for Partial Differential Equations, 2024, e23154.

（9）Wei Wang, Jihui Zheng, Jing An, A novel Hermite spectral element method for elliptic interface eigenvalue problems, Computers and Mathematics with Applications, 2025, 198 : 293–320.

（10）Zhenlan Pan, Jihui Zheng, Jing An, Stability analysis and error estimation based on difference spectral approximation for Allen–Cahn equation in a circular domain, Mathematical Methods in the Applied Sciences, 2025, 48(3): 3214-3232.

（11）Qingzhu Wang, Jihui Zheng, Jing An, A novel mixed spectral approximation for fourth-order problems with Neumann boundary conditions, International Journal of Computer Mathematics, 2025, 1-17.

（12）Ming Zheng, Jihui Zheng, Jing An, High-order numerical approximation based on the Ciarlet-Raviart mixed scheme for fourth-order problem in complex domain, Mathematical Methods in the Applied Sciences, 2026，49（12）：14073-14097.