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杨爱利

兰州大学数学与统计学院     副教授   杨爱利

研究方向
数值代数及其应用
个人简历
杨爱利,男,1981年1月出生,副教授,硕士研究生导师。2008年6月获兰州大学理学博士学位,7月份留校工作。主要研究方向是数值代数及其应用。目前主要从事大型稀疏特殊结构线性系统的算法设计及理论分析的研究工作。主持完成国家自然科学基金青年基金项目和数学天元基金项目各一项,以及中央高校基本科研业务费两项,并以主要成员参与国家自然科学基金4项。迄今为止,在Numer. Linear. Algebra Appl., J. Comput. Appl. Math., Appl. Math. Model., Appl. Math. Lett., Math. Comput. Model., Numer. Algor. 以及《计算数学》等国内外重要期刊上共发表学术论文三十余篇,SCI或EI收录29篇,有两篇入选ESI高被引论文。
教学及指导学生情况
发表论文及专著
[1]Yue Hao, *Ai-Li Yang, *Yu-Jiang Wu, How to compute the optimal parameters of the parameterized PMHSS preconditioner? Applied Mathematics Letters, (2018) Accepted
[2]*Ai-Li Yang, Scaled norm minimization method for computing the parameters of the HSS and the two-parameter HSS preconditioners, Numerical Linear Algebra With Applications, (2018) DOI: 10.1002/nla.2169 
[3]Sheng-Wei Zhou, *Ai-Li Yang, Yu-Jiang Wu. A relaxed block-triangular splitting preconditioner for generalized saddle-point problems. International Journal of Computer Mathematics, 94(2017) 1609--1623
[4]Yan Dou, *Ai-Li Yang, Yu-Jiang Wu. Modified parameterized inexact Uzawa method for singular saddle-point problems. Numerical Algorithms, 72 (2016) 325--339. 
[5]Sheng-Wei Zhou, *Ai-Li Yang, Yan Dou, Yu-Jiang Wu. The modified shift-splitting preconditioners for nonsymmetric saddle-point problems. Applied Mathematics Letters, 59 (2016) 109--114. 
[6]*Ai-Li Yang, Yan Dou, Yu-Jiang Wu and Xu Li. On generalized parameterized inexact Uzawa methods for singular saddle-point problems. Numerical Algorithms, 69 (2015) 579--593. 
[7]*Ai-Li Yang, Yu-Jiang Wu, Zheng-Da Huang and Jin-Yun Yuan. Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems. Applied Mathematical Modelling, 39 (2015) 5436--5451. 
[8]*Ai-Li Yang, Guo-Feng Zhang and Yu-Jiang Wu. General constraint preconditioning iteration method for singular saddle-point problems. Journal of Computational and Applied Mathematics,  282 (2015) 157--166. 
[9]*Ai-Li Yang, Xu Li and Yu-Jiang Wu. On semi-convergence of the Uzawa--HSS method for singular saddle-point problems. Applied Mathematics and Computation, 252 (2015) 88--98. 
[10]Wei-Hong Zhang, *Ai-Li Yang, Yu-Jiang Wu. Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for a class of linear matrix equations. Computers & Mathematics with Applications, 70 (2015) 1357--1367. 
[11]*Ai-Li Yang and Yu-Jiang Wu. The Uzawa--HSS method for saddle-point problems. Applied Mathematics Letters, 38 (2014) 38--42. 
[12]*Ai-Li Yang, Yu-Jiang Wu and Zhen-Jian Xu. The semi-convergence properties of MHSS method for a class of complex nonsymmetric singular linear systems. Numerical Algorithms, 66 (2014) 705--719.
[13]*Ai-Li Yang and Yu-Jiang Wu. Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes. Journal of Applied Mathematics and Computing, 44 (2014) 379--395. 
[14]Xu Li, *Ai-Li Yang and Yu-Jiang Wu. Lopsided PMHSS iteration method for a class of complex symmetric linear systems. Numerical Algorithms, 66 (2014) 555--568. 
[15]Yan Dou, *Ai-Li Yang and Yu-Jiang Wu. On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems. Linear Algebra and its Applications, 459 (2014) 493--510. 
[16]Xu Li, *Ai-Li Yang and Yu-Jiang Wu. Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for saddle-point problems. International Journal of Computer Mathematics, 91 (2014) 1224--1238. 
[17]*Ai-Li Yang, Lun-Ji Song and Yu-Jiang Wu. Algebraic preconditioning analysis of the multilevel block incremental unknowns method for anisotropic elliptic operators. Mathematical and Computer Modelling, 57 (2013) 512--524. 
项目成果
主持国家自然科学基金青年基金(一类大规模稀疏奇异鞍点问题的高效求解算法及预处理技术研究 ,11401281),2015.01--2017.12;
主持国家自然科学基金数学天元基金(增量未知元方法的若干理论与数值分析,11026064),2011.01--2011.12;
主持完成两项中央高校基本科研业务费项目和一项
作为主要成员参与国家自然科学基金面上项目(11771193, 11471150)、青年基金项目(11101196)和天元基金项目(11026065)。
荣誉、获奖
2017年	兰州大学青年教师讲课比赛三等奖
社会工作
为Appl. Math. Letters., Numer. Algorithms, Comput. Appl. Math., Comput. Math. App., Int. J. Comput. Math., Acta Mechanica, Math Problems Engrg., American J. Comput. Math. 等杂志担任审稿人
其它信息

作者:杨爱利