张国凤
职称:教授
研究所:计算数学研究所
所在部门:
办公室:926
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联系电话:
电子邮件:gf_zhang@lzu.edu.cn
研究方向
学习经历
工作经历
教学及指导研究生情况
发表论文及专著
项目成果
荣誉、获奖
社会工作
其它信息
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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/s11075-018-0520-42）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/**.2018.**）Z.-Z. Liang, G.-F. Zhang*，Parameterized approximate block LU preconditioners for generalized saddle point problems，J. Comput. Appl. Math.,336(2018)281–2964）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) 2129–21517）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/s11075-017-0380-38）M.-L. Zeng, G.-F.Zhang, Accelerated SNS and accelerated SSS iteration methods for non-Hermitian linear systems, J. Comput. Anal. Appl., 24(5)20189）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)308–32213）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)4,727-73615）M.-L. Zeng, G.-F. Zhang*, A banded preconditioning iteration method for time-space fractional advection-diffusion equations, Math. Prob. Engineering, 2017(11):1-816）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-z17）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)1824–183318）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 -133919）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)34–4123）Z.-Z. Liang, G.-F. Zhang*, SIMPLE-like preconditioners for saddle point problems from the steady Navier-Stokes equations, J. Comput. Appl. Math.,**）211-22324）Z.-Z. Liang, G.-F. Zhang*, Variants of the accelerated parameterized inexact Uzawa method for saddle-point problems, BIT Numer. Math., (2016)56(2)523-54225）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- 67126）Z. Zheng, G.-F. Zhang*, A block diagonal preconditioner for generalized saddle point problems, East Asian J. Appl. Math.,6（2016）235-25227）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)367-38329）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) 2946–295731）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)463-47832）M.-L.Zeng,G.-F. Zhang*, Preconditioning optimal control of the unsteady Burgers equations with H_1 regularized term, Appl. Math. Comput., 254(2015)133–14733）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)151-16935）Z.-Z. Liang, G.-F. Zhang*, On PSS-based constraint preconditioners for singular nonsymmetric saddle point problems, Comput. Math. Appl., 69(2015)455–46536）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) 907–91642）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) 215–23244）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) 397–40946）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) 521–53548）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)89–0151）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) 5095-510454）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) 1837–184456）Y.-Y.Zhou, G.-F. Zhang, A generalization of parameterized inexact Uzawa method for generalized saddle point problems, Appl. Math. Comput., 215(2009)599-60757）Zhang G.-F., Zhang Y, Ding, H.-f.，New family of eighth-order methods for nonlinear equation, COMPEL, 28 (2009) 1418–142758）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)419–43062）Zhang Guofeng, Zhao Shuangsuo,A class of self-adaptive one-block method and its implementation with varying stepsize，Math. Numer. Sin.，22(2000)3, 285-29463）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（**），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（**）， 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(): 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（**），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（**）， 项目负责人，2010-2010；6.科技部公益性行业科研专项(GYHY)，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
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作者:张国凤