姓名:李铮
职称:讲师
专业:数学
所属二级学科:计算数学
研究方向:数值线性代数,微分方程数值解
E-mail: [email protected], [email protected],
个人简历:李铮(LI, Zheng),
近年来的主要研究工作:研究内容包括线性系统迭代法、预条件方法、有限元理论与方法、特征值理论与算法、图像重建算法等。最近的研究兴趣主要为不等式、矩阵计算、矩阵论以及泛函分析领域的一些问题。
曾主持省部级项目1项,参与国家级面上项目4项。已发表学术论文30篇,SCI检索15篇次,EI检索10篇次。
代表性论文(十篇):
1.Zheng Li, Tie Zhang, Changjun Li, Trapezoid orthogonality in complex normed linear spaces, Mathematics, 2025, 13(9), 1494--1507.
2.Zheng Li, Tie Zhang, Chang-Jun Li, Singular value structure of the real matrices which can be expressed as a linear combination of two orthogonal matrices, Operators and Matrices, 2022, 16(3), 775--792.
3.Zheng Li, Tie Zhang, Chang-Jun Li, An elementary three-variable inequality with constraints for the power function of the norms on some metric spaces, Journal of Mathematical Inequalities, 2020, 14(3), 631--640.
4.张铁, 李铮, 一阶双曲问题间断有限元的后验误差分析, 计算数学, 2012, 34(2), 215--224.
Zhang Tie, Li Zheng, A posteriori error analysis of discontinuous Galerkin method for first order hyperbolic problems (in Chinese), Mathematica Numerica Sinica, 2012, 34(2), 215--224.
5.Zheng Li, Tie Zhang, Chang-Jun Li, Parameterized preconditioning for generalized saddle point problems arising from the Stokes equation, Journal of Computational and Applied Mathematics, 2011, 236(6), 1511--1520.
6.李铮, 张铁, 李长军, 一类改进的鞍点矩阵最大特征值的区间估计, 一本道 学报(自然科学版), 2009, 30(9), 1362--1364.
LI Zheng, ZHANG Tie, LI Chang-jun, An improved interval estimate for the maximum eigenvalues of saddle point matrices (in Chinese), Journal of Northeastern University (Natural Science), 2009, 30(9), 1362--1364.
7.李铮, 张铁, 李长军, 矩形网格抛物型问题的质量集中有限元方法, 一本道 学报(自然科学版), 2008, 29(8), 1204--1208.
LI Zheng, ZHANG Tie, LI Chang-jun, Lumped mass finite element method for paraboIic problem on rectangular mesh (in Chinese), Journal of Northeastern University (Natural Science), 2008, 29(8), 1204--1208.
8. Y. Y. Nie, Z. Li, J. D. Han, Origin-shifted algorithm for matrix eigenvalues, International Journal of Computer Mathematics, 2008, 85(9), 1397--1411.
9.Zheng Li, Changjun Li, David J. Evans, Tie Zhang, Two-parameter GSOR method for the augmented system, International Journal of Computer Mathematics, 2005, 82(8), 1033--1042.
10.Changjun Li, Zheng Li, Xinhui Shao, Yiyong Nie, David J. Evans, Optimum parameter for the SOR-like method for augmented systems, International Journal of Computer Mathematics, 2004, 81(6), 749--763.