Zhao-Zheng Liang
Associate professor of Institute of Computational Mathematics.
Email：1311, Qiyun Building
Ph.D.Lanzhou University, 2017, Computing Mathematics
Biography
I received my master’s (2014) and doctor’s (2017) degrees in Computing Mathematics from Lanzhou University, China. From September 2016 till September 2017, I studied as a joint PhD student in Uppsala University, Sweden.
Social experience
Teaching and guiding the situation of graduate students
Project results
Research interests
My research interest is numerical linear algebraic, including fast iterative solution methods and preconditioning techniques for structured linear systems arising from different application backgrounds, such as PDE-constrained optimal control problems and equivalent real transformation of complex valued linear systems.
Publications
[1] Z.-Z. Liang, G.-F. Zhang, A class of modified DPSS preconditioners for generalized saddle-point linear systems, Comput. Appl. Math., https://doi.org/10.1007/s40314-019-0844-2, 2019.
[2] Z.-Z. Liang, G.-F. Zhang, Robust additive block triangular preconditioners for block two-by-two linear systems, Numer. Algorithms, https://doi.org/10.1007/s11075-018-0611-2, 2019.
[3] O. Axelsson, Z.-Z. Liang, A note on preconditioning methods for time-periodic eddy current optimal control problems, J. Comput. Appl. Math., 352: 262--277, 2019.
[4] O. Axelsson, M. Neytcheva, Z.-Z. Liang, Parallel solution methods and preconditioners for evolution equations, Math. Model. Anal., 23(2): 287--308, 2018.
[5] R.-X. Li, Z.-Z. Liang, G.-F. Zhang, L.-D. Liao, L. Zhang, A note on preconditioner for the Ohta–Kawasaki equation, Appl. Math. Lett., 85: 132--138, 2018.
[6] Z.-Z. Liang, O. Axelsson, M. Neytcheva, A robust structured preconditioner for time-harmonic parabolic optimal control problems, Numer. Algorithms, 79:575--596, 2018.
[7] Z.-Z. Liang, G.-F. Zhang, Parameterized approximate block LU preconditioners for generalized saddle point problems, J. Comput. Appl. Math., 302:211--223, 2018.
[8] Z.-Z. Liang, G.-F. Zhang. Semi-convergence analysis of preconditioned deteriorated PSS iteration method for singular saddle point problems, Numer. Algorithms., 79(2): 379--404, 2018.
[9] Z.-Z. Liang, G.-F. Zhang. On nonlinear inexact Uzawa algorithms for stabilized saddle point problems, Comput. Appl. Math., 37(2): 2129--2151, 2018.
[10] Z.-Z. Liang, G.-F. Zhang. Variants of the deteriorated PSS preconditioner for saddle point problems, Comput. Math. Appl., 75(8): 3024--3046, 2018.
[11] Z.-Z. Liang, G.-F. Zhang. Convergence behavior of generalized parameterized Uzawa method for singular saddle-point problems. J. Comput. Appl. Math., 311:293--305, 2017.
[12] Z.-Z. Liang, G.-F. Zhang. Analysis of the relaxed deteriorated PSS preconditioner for singular saddle point linear systems, Appl. Math. Comput., 305: 308--322, 2017.
[13] Z.-Z. Liang, G.-F. Zhang. On SSOR iteration method for a class of block two-by-two linear systems, Numer. Algorithms, 71: 655--671, 2016.
[14] Z.-Z. Liang, G.-F. Zhang. Augmented block splitting preconditioner for singular saddle point problems, Appl. Math. Lett., 56: 34--41, 2016.
[15] Z.-Z. Liang, G.-F. Zhang. Variants of the accelerated parameterized inexact Uzawa method for saddle-point problems, BIT Numer. Math., 56:523--542, 2016.
[16] Z.-Z. Liang, G.-F. Zhang. SIMPLE-like preconditioners for saddle point problems from the steady Navier-Stokes equations. J. Comput. Appl. Math., 302:211--223, 2016.
[17] Z.-Z. Liang, G.-F. Zhang. Two new variants of the HSS preconditioners for regularized saddle point problems. Comput. Math. Appl., 72 (3): 603--619, 2016.
[18] Z.-Z. Liang, G.-F. Zhang. PU-STS method for non-Hermitian saddle-point problems, Appl. Math. Lett., 46: 1--6, 2015.
[19] Z.-Z. Liang, G.-F. Zhang. On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems, Comput. Math. Appl., 69: 455--465, 2015.
[20] Z.-Z. Liang, G.-F. Zhang. Semi-convergence analysis of the GPIU method for singular non- symmetric saddle-point problems, Numer. Algorithms, 70: 151--169, 2015.
Honor and Award
1. National Scholarship for Doctor Students by Education Ministry of China, Oct. 2015
2. National Scholarship for Master Students by Education Ministry of China, 2013
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