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Ai-Li Yang

Associate professor of Institute of Computational Mathematics.

Email:yangaili@lzu.edu.cn

Ph.D.Lanzhou University, 2008, Mathematics

Biography

I received my Doctor’s degrees in Applied Mathematics of Lanzhou University, PR China.  In 2008, I become a staff member of School of Mathematics and Statistics, Lanzhou University. From July 2010 to June 2011, I worked in Faculty of Engineering of National University of Singapore as a research fellow.

Social experience

  • Teaching and guiding the situation of graduate students

  • Project results

  • Research interests

    Iteration methods and preconditioners for solving large sparse linear and nonlinear systems

    Publications

  • [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.
  • Honor and Award

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