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个人简介

开设课程

研究方向

计算数学，谱方法及高精度方法

教育经历

工作经历

研究成果

1.Jing Zhang, Huiyuan Li, Li-Lian Wang and Zhimin Zhang, Ball prolate spheroidal wave functions in arbitrary dimension. Applied and Computational Harmonic Analysis，48 (2): 539-569，2020.
2.Hao Tian, Jing Zhang* and Lili Ju，Spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions, Applied Mathematics and Computation, DOI:10.1016/j.amc.2019.1294630. 2019.
3.Jing Zhang, Li-Lian Wang, Huiyuan Li and Zhimin Zhang. Optimal spectral schemes based on generalized prolate spheroidal wave functions of order -1. Journal of Scientific Computing, 70: 451-477, 2017.
4.Li-Lian. Wang, Jing Zhang* and Zhimin Zhang. On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. Journal of Computational Physics, 268:377–398, 2014.
5.Lunji Song, Jing Zhang and Li-Lian. Wang*，A multi-domain spectral IPDG method for Helmholtz equation with high wave number. Journal of Computational Mathematics，31 (2): 107-136，2013.
6．Jing Zhang, Li-Lian Wang and Zhijian Rong. A prolate-element method for nonlinear PDEs on the sphere. Journal of Scientific Computing. Vol. 47, No. 1,73-92, 2011.
7．Jing Zhang and Li-Lian Wang.On spectral approximations by generalized Slepian functions. Numerical Mathmatics: Theory, Methods and Applications, Vol. 4, 296-318, 2011.
8．Li-Lian Wang and Jing Zhang. An improved estimate of PSWF approximation and approximation by Mathieu functions. Journal of Mathematical Analysis and Applications. Vol. 379, No. 1, 35-47, 2011.
9.Li-Lian Wang and Jing Zhang. A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids. Applied and Computational Harmonic Analysis. Vol. 29, No. 3, 523-545, 2010.
10．Mina Jiang, Lizhi Ruan and Jing Zhang. Existence of global smooth solution for the initial boundary value problem for p-system with damping. Nonlinear Analysis: Theory, Methods and Applications. Vol. 70, No. 6, 2471-2479, 2009.
11．Jing Zhang and Changjiang Zhu. BV-estimates of Lax-Friedrichs scheme for hyperbolic conservation laws with relaxation. Mathematical Methods in the Applied Sciences. Vol. 31, No. 8, 959-974 (2008).
12．Lizhi Ruan and Jing Zhang. Asymptotic stability of rarefaction wave for hyperbolic-elliptic coupled system in radiating gas, Acta Mathematica Scientia. Vol. 27, No. 2, 347-360, 2007.

研究项目

附件

张晶

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