姓 名:张理涛
职 称:教授
研究方向:数值代数与科学计算及应用
主讲课程:数值分析、高等数学、微积分、解析几何、初等微积分(双语) 、中级微积分(双语)
办公地点:
电子邮箱:litaozhang@163.com
1980年3月出生,汉族,中共党员,理学博士,硕士生导师,专业数学教研室教师,2018年河南省科技创新杰出青年,2016年河南省教育厅学术技术带头人。
教育经历:
★1999.09-2003.06 就读于河南师范大学数学教育专业,获学士学位
★2003.09-2006.06 就读于河南师范大学应用数学专业,获硕士学位
★2006.09-2009.06 就读于电子科技大学应用数学专业,获博士学位
发表主要论文:
1.Li-Tao Zhang, Ting-Zhu Huang, Shao-Hua Cheng, Tong-Xiang Gu, Yan-Ping Wang, A note on parallel multisplitting TOR method of an H-matrix, International Journal of Computer Mathematics, 2011,88(3):501-507
2.Li-Tao Zhang, Ting-Zhu Huang, Shao-Hua Cheng, Tong-Xiang Gu, The weaker convergence of non-stationary matrix multisplitting methods for almost linear systems, Taiwanese Journal of Mathematics, 2011,15(4):1423-1436
3.Li-Tao Zhang, Ting-Zhu Huang, Shao-Hua Cheng, Yan-Ping Wang, Convergence of a generalized MSSOR method for augmented systems, Journal of Computational and Applied Mathematics, 2012,236:1841-1850
4.Li-Tao Zhang, A new preconditioner for generalized saddle matrices with highly singular(1,1) blocks, International Journal of Computer Mathematics, 2014, 91(9):2091-2101
5.Li-Tao Zhang, Jian-Lei Li, The weaker convergence of modulus-based synchronous multisplitting multi-parameters methods for linear complementarity problems, Computers and Mathematics with Applications, 2014, 67:1954-1959
6.Li-Tao Zhang, Xian-Yu Zuo, Tong-Xiang Gu, Xing-Ping Liu,Improved convergence theorems of multisplitting methods for the linear complementarity problem,Applied Mathematics and Computation,2014, 243:982–987
7.Li-Tao Zhang,Jian-Lei Li, Tong-Xiang Gu and Xing-Ping Liu,Convergence of relaxed matrix multisplitting chaotic methods for H-matrices, Journal of Applied Mathematics, 2014, Article ID 594185, 9 pages
8.Li-Tao Zhang, Yong-Wei Zhou, Tong-Xiang Gu, Xing-Ping Liu, Convergence improvement of relaxed multisplitting USAOR methods for H-matrices linear systems, Applied Mathematics and Computation, 2014, 247:225-232
9.Li-Tao Zhang, Xiao-Na Dong, Tong-Xiang Gu, Xian-Yu Zuo, Xing-Ping Liu, An Improved Generalized Conjugate Residual Squared(IGCRS) Algorithm Suitable for Distributed Parallel Computing, Japan Journal of Industrial and Applied Mathematics, 2015, 32(1): 143-155
10.Li-Tao Zhang, Xian-Yu Zuo, Tong-Xiang Gu, Xing-Ping Liu, A Parallel Generalized Global Conjugate Gradient Squared Algorithm for linear systems with multiple right-hand sides, Computational and Applied Mathematics, 2015, 34 (3): 901-916
11.Li-Tao Zhang, Yu-Xia Zhang, Tong-Xiang Gu, Xing-Ping Liu,Liu-Wei Zhang, New convergence of modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problems, Computational and Applied Mathematics, 2017, 36(1):481-492
12.Li-Tao Zhang, Tong-Xiang Gu, Xing-Ping Liu, Overlapping restricted additive Schwarz method with damping factor for H-matrix linear complementarity problem, Applied Mathematics and Computation, 2015, 271(15): 1-10
13.Li-Tao Zhang, A modified shift-splitting preconditioner for saddle point problems,Journal of Computational Analysis and Applications,2017,22(1):25-37
14.Li-Tao Zhang Li-Min Shi, An improved generalized parameterized inexact uzawa method for singular saddle point problems,Journal of Computational Analysis and Applications,2017,23(4):671-683
15. Li-Tao Zhang, A parameterized shift-splitting preconditioner for saddle point problems,Mathematical Biosciences and Engineering,2019,16(2):1021-1033
16. Li-Tao Zhang,Modified block preconditioner for generalized saddle point matrices with highly singular(1,1) blocks, Linear and Multilinear Algebra,2018,1-9
17. Li-Tao Zhang, Convergence of Newton-relaxed non-stationary multisplitting multi-parameters methods for nonlinear equations,Journal of Internet Technology,2018,1-7
18. Li-Tao Zhang,A note on block preconditioner for generalized saddle point matrices with highly singular(1,1) block, Journal of Applied Analysis and Computation,2019,1-15
19. Li-Tao Zhang, An improved block diagonal preconditioners for non-symmetric indefinite linear systems, Information Technology Journal, 2013, 12(19): 5182-5185
20.Li-Tao Zhang, Zong-Cai Jiang, Tong-Xiang Gu, Xing-Ping Liu, A generalized block diagonal preconditioner for non-symmetric saddle point problems, Journal of Computational Information Systems 2014, 10:(12):5059-5065
21.Li-Tao Zhang, Hui-Li Meng, A note on generalized stationary iterative method for solving saddle point problems,Computer Modelling and New Technologies, 2014, 18(12A):328-332
22.Li-Tao Zhang, Tong-Xiang Gu, Global modulus-based synchronous multisplitting multi-parameters TOR methods for linear complementarity problems,Mathematical and Computational Applications,2017, 22(1): 1-11
23.Li-Tao Zhang,Convergence of block triangular preconditioner for generalized saddle point matrices with highly singular (1, 1) blocks, International Journal of Modelling and Simulation, 2016,36(1-2):2-7
主要科研项目:
1. 特殊鞍点问题的高效预处理技术及在电磁计算中的应用研究.国家自然科学基金青年科学基金.2016.01-2018.12,主持,已结项。
2. 适合分布式并行计算改进的GCRS算法研究.国家自然科学基金数学天元基金.2013.01-2013.12,主持,已结项。
3. 高性能并行计算在CFD数值模拟中的应用研究.河南省科技创新杰出青年基金.2018.1-2019.12,主持,在研。
4. 并行多分裂技术在航空CFD数值模拟中的应用研究.航空科学基金.2017.10-2019.9,主持,在研。
5. 线性互补问题的广义模系同步整体多分裂算法研究.河南省高校科技创新人才计划项目. 2016.01-2017.12,主持,已结项。
6. 两类鞍点问题的结构化预处理技术及应用研究.河南省高等学校青年骨干教师资助计划项目.2013.1-2016.12,主持,已结项。
7. 大规模稀疏线性方程组的高效算法与理论研究.河南省基础与前沿技术研究计划项目.2014.1.1-2015.12.31,主持,已结项。
8. 求解线性方程组的高效迭代算法和预处理技术研究.河南省基础与前沿技术研究计划项目.2013.1-2015.12,主持,已结项。
主要获奖情况
1. 特殊线性问题的高效算法和预处理技术.河南省科技厅科技进步三等奖、河南省教育厅科技成果一等奖、河南省自然科学三等奖,2017
2. 线性系统的并行Krylov子空间算法和预处理技术.河南省教育厅科技成果二等奖,2018
已出版的专著或教材
1. 线性方程组的高效迭代算法,北京:科学出版社,2014,张理涛,吴世良
2. 特殊线性系统的数值迭代算法,北京:科学出版社,2015,吴世良,李翠霞,张理涛