人物經歷
2008年6月獲蘭州大學理學博士學位,7月份留校工作。主要研究方向是數值代數及其套用。目前主要從事大型稀疏特殊結構線性系統的算法設計及理論分析的研究工作。
研究方向
數值代數及其套用
學術成果
主持完成
國家自然科學基金青年基金項目和
數學天元基金項目各一項,以及中央高校基本科研業務費兩項,並以主要成員參與國家自然科學基金4項。迄今為止,在Numer. Linear. Algebra Appl., J. Comput. Appl. Math., Appl. Math. Model., Appl. Math. Lett., Math. Comput. Model., Numer. Algor. 以及《計算數學》等國內外重要期刊上共發表學術論文三十餘篇,SCI或EI收錄29篇,有兩篇入選ESI高被引論文。
學術論文
[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)
[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.
項目
主持國家自然科學基金青年基金(一類大規模稀疏奇異鞍點問題的高效求解算法及預處理技術研究 ),2015.01--2017.12;
主持國家自然科學基金數學天元基金(增量未知元方法的若干理論與數值分析),2011.01--2011.12;
主持完成兩項中央高校基本科研業務費項目和一項
榮譽獎項
2017年 蘭州大學青年教師講課比賽三等獎
社會兼職
為Appl. Math. Letters., Numer. Algorithms, Comput. Appl. Math., Comput. Math. App., Int. J. Comput. Math., Acta Mechanica, Math Problems Engrg., American J. Comput. Math. 等雜誌擔任審稿人