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张国凤

兰州大学数学与统计学院     教授   张国凤

研究方向
1.数值代数及其应用;
2.微分方程数值解与科学工程模型仿真。
个人简历
张国凤,博士,兰州大学数学与统计学院教授、博士生导师。1983年兰州大学数学力学系毕业留校至今,2001年获理学博士学位。在线性和非线性数值代数、微分方程数值解与科学工程模型仿真的研究及应用等方面共发表学术论文90余篇,其中SCI收录60余篇。近年来主持国家自然科学基金4项, 先后主持完成部委留学回国基金项目、春晖计划科研合作项目各1项,参与完成国家自然科学基金项目2项、省自然科学基金1项和军工横向科研项目多项。已培养博士及硕士研究生40余人。2003-2004年在巴黎第六大学学术访问一年,参加了在美国、俄罗斯、希腊、荷兰、比利时、瑞士、巴西、中国、香港等地举办的国际会议。
教学及指导学生情况
主讲过的课程有:数学分析;数值分析;微分方程数值解;高等数学(主持省精品课程)等。已培养博士及硕士研究生40余人。
发表论文及专著
1)L.-D. Liao, G.-F. Zhang*, A note on block diagonal and block triangular preconditioners for complex symmetric linear systems,Numer.Algor., DOI: 10.1007/s11075-018-0520-4
2)L.-D. Liao, G.-F. Zhang*, A generalized C-to-R method for solving complex symmetric indefinite linear systems, Linear Multilinear Algebr, DOI: 10.1080/03081087.2018.1469598
3)Z.-Z. Liang, G.-F. Zhang*,Parameterized approximate block LU preconditioners for generalized saddle point problems,J. Comput. Appl. Math.,336(2018)281–296
4)Z.-Z. Liang, G.-F. Zhang*, Variants of the deteriorated PSS preconditioner for saddle point problems, Comput. Math. Appl., 75 (2018)3024–3046 
5)L.-D. Liao, G.-F. Zhang*, Optimizing and improving of the C-to-R method for solving complex symmetric linear systems,Appl. Math. Letters, 82(2018) 79–84 
6)Z.-Z. Liang, G.-F. Zhang*,On nonlinear inexact Uzawa algorithms for stabilized saddle point problems,Comput. Appl. Math.,37(2018) 2129–2151
7)Z.-Z. Liang, G.-F. Zhang*, Semi-convergence analysis of preconditioned deteriorated PSS iteration method for singular saddle point problems, Numerical Algorithms,Numer Algor,DOI: 10.1007/s11075-017-0380-3
8)M.-L. Zeng, G.-F.Zhang, Accelerated SNS and accelerated SSS iteration methods for non-Hermitian linear systems, J. Comput. Anal. Appl., 24(5)2018
9)L.-D. Liao, G.-F.Zhang*, New variant of the HSS iteration method for weighted Toeplitz regularized least-squares problems from image restoration, Comput. Math. Appl., 73(2017)2482-2499 
10)L.-D. Liao, G.-F. Zhang*,Efficient preconditioner and its iterative method for a class of complex symmetric linear systems,East Asian J. Appl. Math., 7(3)(2017) 530-547 
11)Z.-Z. Liang, G.-F. Zhang*,Convergence behavior of generalized parameterized Uzawa method for singular saddle-point problems, J. Comput. Appl. Math.,311(2017)293–305 
12)Z.-Z. Liang, G.-F. Zhang*,Analysis of the relaxed deteriorated PSS preconditioner for singular saddle point linear systems, Appl. Math. Comput., 305(2017)308–322
13)M.-L. Zeng, G.-F.Zhang*, Generalized shift-splitting iteration method for a class of two-by-two linear systems, J. Appl. Math. Comput., 53(1)(2017) 271-283 
14)M.-L.Zeng, G.-F.Zhang*, Parameterized ABD preconditioning technique for time-periodic convection-diffusion problems, Int. J. Comput. Math.,94(2017)4,727-736
15)M.-L. Zeng, G.-F. Zhang*, A banded preconditioning iteration method for time-space fractional advection-diffusion equations, Math. Prob. Engineering, 2017(11):1-8
16)M.-L. Zeng, G.-F. Zhang, Complex-extrapolated MHSS iteration method for singular complex symmetric linear systems, Numer. Algor., 2017, DOI: 10.1007/s11075-017-0295-z
17)M.-L. Zeng, Walker P.S., G.-F. Zhang, On semi-convergence of the parameterized generalized MHSS method for singular complex linear systems, Comput. Math. Appl., 73(2017)1824–1833
18)M.-L. Zeng, G.-F. Zhang*,On NPHSS-KPIK iteration method for low-rank complex Sylvester equations arising from time-periodic fractional diffusion equations, TURKISH J. Math., 40(2016)1325 -1339
19)L.-D. Liao, G.-F. Zhang*, Preconditioning of complex linear systems  from the Helmholtz equation,  Comput. Math. Appl., 72(2016)2473–2485 
20)Z.-Z. Liang, G.-F. Zhang*, Two new variants of the HSS preconditioner for regularized saddle point problems,  Comput. Math. Appl.,72 (2016)603-619 
21)Z. Zheng, G.-F. Zhang*,M.-Z.Zhu,A Note on Preconditioners for Complex Linear Systems Arising from PDE-constrained Optimization Problems, Appl. Math. Letters, 61(2016)114-121 
22)Z.-Z.Liang, G.-F. Zhang*, Augmented block splitting preconditioner for singular saddle point problems,Appl. Math. Letters, 56 (2016)34–41
23)Z.-Z. Liang, G.-F. Zhang*, SIMPLE-like preconditioners for saddle point problems from the steady Navier-Stokes equations,  J. Comput. Appl. Math.,3022016)211-223
24)Z.-Z. Liang, G.-F. Zhang*, Variants of the accelerated parameterized inexact Uzawa method for saddle-point  problems, BIT Numer. Math., (2016)56(2)523-542
25)Z.-Z. Liang, G.-F. Zhang*, On SSOR iteration method for a class of block  two-by-two linear systems, Numer. Algor., 71(3)(2016)655- 671
26)Z. Zheng, G.-F. Zhang*, A block diagonal preconditioner for generalized saddle point problems, East Asian J. Appl. Math.,6(2016)235-252
27)M.-L. Zeng, G.-F. Zhang*, Incomplete circulant and skew-circulant splitting iteration method for time- dependent space fractional diffusion equations, Jpn J. Indust. Appl. Math., 33(1)(2016)251 -268 
28)M.-L. Zeng,G.-F. Zhang*,A class of preconditioned TGHSS-based iteration methods for weakly nonlinear systems, East Asian J. Appl. Math., 6(4)(2016)367-383
29)M.-L. Zeng, G.-F.Zhang*, Z. Zheng, Generalized augmented Lagrangian-SOR iteration method for saddle-point systems arising from distributed control problems, J. Comput. Math., 34(2)(2016) 174–185.
30)M.-L. Zeng, G.-F. Zhang*, Parameterized rotated block preconditioning techniques for block two-by-two systems with application to complex linear systems, Comput. Math. Appl., 70(2015) 2946–2957
31)M.-Z. Zhu, G.-F. Zhang*, Z.-Z.Liang,  On generalized local Hermitian and skew-Hermitian  splitting iterative method for block two-by-two linear systems, Appl. Math. Comput., 250(2015)463-478
32)M.-L.Zeng,G.-F. Zhang*, Preconditioning optimal control of the unsteady Burgers equations with H_1 regularized term,  Appl. Math. Comput., 254(2015)133–147
33)Z. Zheng, G.-F. Zhang*, M.-Z.Zhu, A block alternating splitting iteration method  for a class of block two-by-two complex  linear systems, J. Comput. Appl. Math.,  288(2015)203–214 
34)Z.-Z. Liang, G.-F. Zhang*, Semi-convergence analysis of the GPIU method for singular nonsymmetric saddle-point problems, Numer. Algor., 70(2015)151-169
35)Z.-Z. Liang, G.-F. Zhang*, On PSS-based constraint  preconditioners for singular nonsymmetric saddle point problems, Comput. Math. Appl., 69(2015)455–465
36)G.-F.Zhang, L.-D. Liao, Z.-Z. Liang, On parameterized generalized skew-Hermitian triangular splitting iteration methods for singular and nonsingular saddle point problems, Appl. Math. Comput.,254 (2015)340–359 
37)Z.-Z. Liang,G.-F.Zhang*, PU-STS method for non-Hermitian saddle-point problems, Appl. Math.Letters,46 (2015)1–6 
38)A.-L. Yang, G.-F. Zhang, Y.-J. Wu, General constraint preconditioning iteration method for singular saddle-point problems,  J. Comput. Appl. Math., 282(2015)157–166 
39)M.-L.Zeng, G.-F.Zhang*,Modulus-based GSTS iteration method for linear complementarity problems, J. Math. Study, 48(1)(2015)1-17 
40)M.-Z. Zhu, G.-F.Zhang*, A class of iteration methods based on the HSS for Toeplitz systems of weakly nonlinear equations, J.Comput. Appl. Math., 290 (2015) 433–444 
41)M.-Z. Zhu, G.-F.Zhang*, Z. Zheng, Z.-Z. Liang, On HSS-based  sequential two-stage method for non-Hermitian saddle point    problems,  Appl. Math. Comput.242 (2014) 907–916
42)G.-F. Zhang, Z. Zheng,A parameterized splitting iteration method for complex symmetric linear systems,  Jpn. J. Ind. Appl. Math. 31 (2014)265–278 
43)M.-L. Zeng,G.-F. Zhang*, A new preconditioning strategy  for solving a class of  time-dependent PDE-constrained optimization problems, J. Comput. Math. 32 (2014) 215–232
44)Z.-Z. Liang, G.-F.Zhang*, Modified unsymmetric SOR method for saddle point problems, Appl. Math. Comput., 234(2014)584-598   
45)Z.-Z. Liang, G.-F. Zhang*, On semi-convergence of a class of Uzawa methods for singular saddle-point problems, Appl. Math. Comput., 247 (2014) 397–409
46)G.-F. Zhang, J.-L.Yang,S.-S.Wang, On generalized parameterized inexact Uzawa method for block two-by-two linear system, J. Comput. Appl. Math. 255(2014)193–207  
47)S.-S. Wang,G.-F.Zhang*, Preconditioned AHSS iteration method for singular saddle point problems,Numer. Algor., 63 (2013) 521–535
48)G.-F. Zhang, S.-S. Wang, A generalization of parameterized inexact Uzawa method for singular saddle point problems,Appl. Math. Comput., 219 (2013)4225–4231 
49)G.-F. Zhang, Z. Zheng, Block symmetric and block lower-triangular preconditioners for PDE-constrained optimization problems, J. Comput. Math., 31 (2013)370–381 
50)Z.-Z.Liang, G.-F.Zhang*, On block-diagonally preconditioned accelerated parameterized inexact Uzawa method for singular saddle point problems,Appl. Math. Comput.,221(2013)89–01
51)G.-F. Zhang, W.-W. Xie, J.-Y. Zhao,Positive definite solutions of the nonlinear matrix equation  $X+A^{\ast}X^{q}A=Q  (q>0)$, Appl. Math. Comput. 217 (2011)9182–9188 
52)G.-F. Zhang, Z.-R. Ren, J.-Y. Zhao, HSS-like nonsymmetric preconditioner for saddle point problems, Numer. Algor., 57(2)(2011)273-287 
53)M.-Z. Zhu,G.-F. Zhang,On CSCS-based iteration methods for Toeplitz system of weakly nonlinear equations,J. Comput. Appl. Math., 235 (2011) 5095-5104
54)D.-P. Li, J.-Y. Zhao, G.-F.Zhang, An efficient numerical method for preconditioned saddle point problems, Appl. Math. Comput., 217 (2011)5596–5602 
55)G.-F. Zhang, J.-Y. Zhao,On Constraint Preconditioners for Generalized Saddle Point Matrices, Appl. Math. Comput., 216 (2010)  1837–1844
56)Y.-Y.Zhou, G.-F. Zhang,  A generalization of parameterized inexact Uzawa method for generalized saddle point problems, Appl. Math. Comput., 215(2009)599-607
57)Zhang G.-F., Zhang Y, Ding, H.-f.,New family of eighth-order methods for nonlinear equation, COMPEL, 28 (2009) 1418–1427
58)G.-F. Zhang, Q.-H. Lu, On generalized symmetric SOR method for augmented systems, J. Comput. Appl. Math. 219 (2008)1, 51–58.
59)Zhang Guofeng, Stabilities of (A,B,C) and NPDIRK methods for systems of neural delay-differential equations with multiple delays,  J. Comput. Math., 21(2003)3,375-382 
60)Zhang Guofeng, Stability of implicit one-block methods for delay differential equations, Appl. Numer. Math. 36 (2001)2-3, 275–279.
61)Zhao Shuangsuo, Zhang Guofeng, Two iteration methods for solving linear algebraic systems with low order matrix A and high order matrix B: Y=(A⊗B)Y+Φ,J. Comput. Math. 18(4)(2000)419–430
62)Zhang Guofeng, Zhao Shuangsuo,A class of self-adaptive one-block method and its implementation with varying stepsize,Math. Numer. Sin.,22(2000)3, 285-294
63)Zhao Shuangsuo, Wang Changyin, Zhang Guofeng, Relation between two sets of functions defined by the two interrelated one-side Lipschitz conditions,J. Comput.Math.,17(1999)5, 457-462 
64)Zhao Shuangsuo, Zhang Guofeng, Wang Changyin, The convergence of two Newtow-like methods for solving block nonlinear equations and a class of r-points (r+1)st-order A-stable one-block methods, Appl. Numer. Math., 25(1997)1, 117-133 
项目成果
(近10年)
1.国家自然科学基金(11771193),两类PDE控制离散矩阵的预处理及快速计算,项目负责人,2018.01-2021.12;
2.国家自然科学基金(11271174), 一类大规模结构线性鞍点问题的高校算法与理论,项目负责人,2013.1-2016.12;
3.国家自然科学基金(11511130015): 国际(地区)合作与交流项目, 流体力学和约束优化中的鞍点问题的有效迭代算法与预处理研究,项目负责人, 2015-2016,
4.国家自然科学基金(11571156),强噪声图像复原问题的数值方法研究,参加,2016.01-2019.12;
5.国家自然科学基金(11026011), 项目负责人,2010-2010;
6.科技部公益性行业科研专项(GYHY201006035),复杂地形风能预报技术研究,参加,2011.1.1-2013.12.31;
7.教育部教学改革项目(第三批高等学校特色专业建设点基金,数学与应用数学特色专业建设(TS1Z197),项目主持人,2008-2011
荣誉、获奖
2014年	获甘肃省高校科技进步三等奖
2009年	获兰州大学“师德标兵”称号
2009年	负责的《高等数学》获甘肃省精品课程课程
社会工作
2012.11-2017.12	数学与统计学院	副院长
2006.1-2012.10	数学与统计学院	院长助理
2001.1-	数学与统计学院	公共数学教研部主任
2012-	甘肃省数学会	理事
2017-	全国工业与应用学会	组织委员会委员
2010-	数学与统计学院	学术委员会委员
2010-2014	兰州大学	教学指导委员会委员
其它信息

作者:张国凤