2017年12月14日 |  English version
网站首页 | 学院一览 | 学院新闻 | 科学研究 | 学科建设 | 师资队伍 | 人才培养 | 学生工作 | 下载专区 | 招考信息
 
师资队伍
博士生导师 宋永忠
详细信息
 
博士生导师 宋永忠
基本信息

姓名 宋永忠
最后学位 博士
最后毕业时间 2002.6
毕业院校 南京大学
职称 博士生导师
所在研究室 计算科学研究室
研究方向 数值代数
办公室 南京师范大学校长室
联系电话 025-83706565
电子邮箱 yzsong@njnu.edu.cn
个人主页 点击查看个人主页

详细信息

教学活动
开课时间 课程名称 授课对象
  暂无记录  
主要论著

名称
102.  Multiquadric quasi-interpolation methods for solving partial differential algebraic equations (Wendi Bao, Yongzhong Song), Numer. Meth. Partial Diff. Equ. DOI 10.1002/num
 
101.  On the convergence radius of the modified Newton method for multiple roots under the center-Holder condition (Xiaojian Zhou, Xin Chen,Yongzhong Song), Numer. Algor.DOI 10.1007/s11075-013-9702-2
 
100.  Convergence of parallel block SSOR multisplitting method for block H-matrix(Guangxi Cao, Yanli Huang, Yongzhong Song), Calcolo 50: 239–253 (2013).
 
99.  Image restoration with a high-order total variation minimization method, (Xiao-Guang Lv,Yong-Zhong Song,Shun-Xu Wang,Jiang Le), Appl. Math. Model. 37: 8210–8224 (2013)
 
98.  The PageRank model of minimal irreducible adjustment and its lumping method (Linlin Li, Xin Chen,Yongzhong Song), J. Appl. Math. Comput. 42: 297–308 (2013)
 
97.  A new multi-symplectic integration method for the nonlinear Schräodinger equation (LV Zhong-Quan, WANG Yu-Shun, SONG Yong-Zhong), CHIN. PHYS. LETT. 30: 030201(2013)
 
96.  Families of third and fourth order methods for multiple roots of nonlinear equations (Xiaojian Zhou, Xin Chen,Yongzhong Song), Appl. Math. Comput.  219: 6030–6038 (2013)
 
95.  Numerical dispersion analysis of a multi-symplectic scheme for the three dimensional Maxwell’s equations (Wenjun Cai, Yushun Wang, Yongzhong Song), J. Comput. Phys. 234: 330–352 (2013)
 
94.  Hopf bifurcation o f a differential-algebraic bioeconomic model with time delay (Xiaojian Zhou, Xin Chen, Yongzhong Song), J. Appl. Math.  2012, Article ID 768364,15 pages, doi:10.1155/2012/768364(2012)
 
93.  Solving partial differential algebraic equations by collocation and radial basis functions (Wendi Bao,Yongzhong Song), J. Appl. Math. & Informatics 30: 951969(2012)
 
92.  A local RBF-generated finite difference method for partial differential algebraic equations (Bao, Wendi; Song, Yongzhong) ), In: Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, Vols A-C, Ed. Simos, TE, AIP Conference Proceedings, Vol. 1389,  DOI: 10.1063/1.3636967, 1840-1843(2011)
 
91. Convergence radius of Osada's method for multiple roots under holder and center-holder continuous conditions (Zhou, Xiaojian; Song, Yongzhong), In: Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, Vols A-C, Ed. Simos, TE, AIP Conference Proceedings, Vol. 1389,  DOI: 10.1063/1.3636967, 1836-1839(2011)
 
90.  Two stage waveform relaxation method for the initial value problems of differential-algebraic equations (Wendi Bao,Yongzhong Song), J. Comput. Appl. Math.236: 1123–1136 (2011)
 
89.  Constructing higher-order methods for obtaining the multiple roots of nonlinear equations (Xiaojian Zhou, Xin Chen, Yongzhong Song), J. Comput. Appl. Math.  235: 4199–4206 (2011)
 
88.  Convergence for nonnegative double splittings of matrices (Juan Song, Yongzhong Song), Calcolo48: 245–260(2011)
 
87.  Semiconvergence of parallel multisplitting methods for symmetric positive semidefinite linear systems (Guangxi Cao, Yongzhong Song), Numer. Linear Algebra Appl. 18: 317–324(2011)
 
86.  On a regularization of index 2 differential-algebraic equations with properly stated leading term (Hong Liu, Yongzhong Song),Acta Math. Sci.31B: 383-398(2011)
 
85. 一类块三对角矩阵的计算(鲍文娣,宋永忠),数值计算与计算机应用,2010年第31卷第3, 206-213
 
84.  Optimal parameters for 2-cyclic AOR (Xueyuan Tan, Yongzhong Song),Appl. Math. Comput.216: 1428–1442 (2010)
 
83.  A two-step SOR-Newton method for nonsmooth equations(Xiaoxia Zhou, Yongzhong Song, Li Wang), Nonlinear Anal., Theory Methods Appl.71: 4387-4395(2009)
 
82.  A robust trigonometrically fitted embedded pair for perturbed oscillators (Yonglei Fang, Yongzhong Song, Xinyuan Wu), J. Comput. Appl. Math. 225: 347-355 (2009)
 
81. Preconditioned AOR iterative methods for M-matrices (Li Wang, Yongzhong Song), J. Comput. Appl. Math.226: 114-1242009
 
80. On parallel multisplitting methods for symmetric positive semidefinite linear systems (Guangxi Cao, Yongzhong Song), Numer. Linear Algebra Appl.16: 301–318(2009)
 
79.  Preconditioned GAOR methods for solving weighted linear least squares problems (Xiaoxia Zhou, Yongzhong Song, Li Wang, Qingsheng Liu), J. Comput. Appl. Math. 224: 242-249(2009)
 
78.  Semiconvergence of p-regular splittings for singular linear systems (Yongzhong Song, Li Wang), Calcolo 45: 247–261(2008)
 
77.  New embedded pairs of explicit Runge-Kutta methods with FSAL properties adapted to the numerical integration of oscillatory problems (Yonglei Fang, Yongzhong Song, Xinyuan Wu), Phys. Lett. A 372: 6551–6559(2008)
 
76.  Trigonometrically fitted explicit Numerov-type method for periodic IVPs with two frequencies (Yonglei Fang, Yongzhong Song, Xinyuan Wu), Comput. Phys. Commun.  179: 801–811(2008)
 
75.  On the semiconvergence of additive and multiplicative splitting iterations for singular linear systems (Guangxi Cao, Yongzhong Song),Appl. Math. Comput. 204: 794–801 (2008)
 
74.  Two new simple multi-symplectic schemes for the nonlinear Schrodinger equation (Wang Yu-shun, Li Qing-hong, Song Yong-zhong), Chin. Phys. Lett. 25: 1538-1540(2008)
 
73.  On the optimization of extrapolation methods for singular linear systems (Li Wang, Yongzhong Song), J. Comput. Math. 26: 227–239 (2008)
 
72.  Optimum AOR iterative methods for rank deficient least squares problems(Yanli Huang, Yongzhong Song), J. Appl. Math. Comput.26: 105-124(2008)
 
71.  解非埃尔米特线性方程组的外推迭代法的收敛性(王丽,孙明军,宋永忠)南京师大学报(自然科学版)2007年第1期,1-5
 
70.  Semiconvergence of block AOR method for singular p-cyclic matrices (Yanli Huang, Yongzhong Song),Appl. Math. Comput. 189: 1637–1647 (2007)
 
 
69.  Preface of the special issue of APNUM International Conference on scientific Computing in Nanjing, China (Zhilin Li, Yongzhong Song, Tao Tang), Appl. Numer. Math. 575-7):473-474 (2007)
 
68. Preconditioned AOR iterative method for linear systems (Meijun Wu, Li Wang, Yongzhong Song), Appl. Numer. Math. 575-7):672-6852007
 
67. Differential transform method applied to high index differential-algebraic equations (Hong Liu, Yongzhong Song), Appl. Math. Comput. 184: 748-753(2007)
 
66. On a regularization of index 3 differential-algebraic equations (Hong Liu, Yongzhong Song), Appl. Math. Comput. 181: 1369-1378(2006)
 
65. On multi-symplectic partitioned Runge - Kutta methods for Hamiltonian wave equations (Qinghong Li, Yongzhong Song, Yushun Wang), Appl. Math. Comput.177: 36-43 (2006)
 
64. Explicit One-Step P-Stable Methods for Second Order Periodic Initial Value Problems (Qinghong Li, Yongzhong Song), Numer. Math., J. Chin. Univ.  15: 237-247 (2006)
 
63. Estimates of upper bounds of the spectral radius for some iteration matrices (Qiang Wang, Yongzhong Song, Weiguo Li), J. Nanjing Univ., Math. Biq.  22: 96-106 (2005)
 
62. The impact of fading correlation on the error performance of MIMO systems over Rayleigh fading channels (Huaping Liu, Yongzhong Song, Robert C. Qiu), IEEE Trans. Wireless Commun. 4: 2014-2019(2005)
 
61. On parallel multisplitting iterative methods for singular linear systems,Appl. Math. Comput.162: 585-604 (2005)
 
60. On the semiconvergence of extrapolated iterative methods for singular linear systems (Yongzhong Song, Li Wang), Appl. Numer. Math. 44: 401-413(2003)
 
59 Modified AOR methods for linear complementarity problem (Dongjin Yuan, Yongzhong Song), Appl. Math. Comput.140: 53-67 (2003)
 
58. Stability of numerical methods for solving linear index-3-DAEs (Hong Liu, Yongzhong Song), Appl. Math. Comput. 134: 35-50 (2003)
 
57.  Monotone Convergence of Iterative Methods, BIT 42: 611-624(2002)
 
56. Comparison theorems for splittings of matrices, Numer. Math. 92: 563-591(2002)
 
55. A Note on the variation of the spectrum of an arbitrary matrix, Linear Algebra Appl.342: 41-46(2002)
 
54. Splitting based on the outer inverse of matrices (Xin Chen, Wei Wang, Yongzhong Song), Appl. Math. Comput.132: 353-368(2002)
 
53. Comparisons of block iterative methodsAnn. Oper. Res.103: 359-369(2001)
 
52. Solvability of higher index time-varying linear differential-algebraic equations, Acta Math. Sci.21:  77-92(2001)
 
51. Semiconvergence of block SOR method for singular linear systems with p-cyclic matrices,J. Comput. Appl. Math.130: 217-229(2001)
 
50. Regularization methods for solving differential-algebraic equations (Haiyan Wang, Yongzhong Song), Appl. Math. Comput. 119: 283-296(2001)
      
49. Semiconvergence of nonnegative splittings for singular matrices, Numer. Math. 85: 109-127(2000)
 
48. On an inequality for the Hadamard product of an M-matrix and its inverse, Linear Algebra Appl.305: 99-105(2000)
 
47. A note on the error bound for the AOR method, BIT 39: 373-383(1999)
 
46. Semiconvergence of extrapolated iterative methods for singular linear systems, J. Comput. Appl. Math.106: 117-129(1999)
 
45. Comparison theorems for nonnegative splittings of bounded operators, Appl. Math. 12(4): 137-142(1999)
 
44. Error bounds for some overrelaxation methods, Int. J. Comput. Math. 70: 263-278(1998)
 
43. Methodes iteratives de type SOR pour resoudre les problemes des moindres   carres (Yongzhong Song, Oumarou Goro), Int. J. Comput. Math.68: 99-1181998
 
42. On the convergence of the MAOR methods, J. Comput. Appl. Math.  79: 299-317(1997)
 
41. P-Cyclic matrices and block accelerated overrelaxation method, Appl. Math. 10(2): 32-36(1997)
 
40. On the convergence of the generalized AOR method, Linear Algebra Appl. 256: 199-218(1997)
  
39. 关于有界线性算子非负分裂的比较定理, 数学学报, 1997年第40卷,327-332
 
38. Chaotic waveform relaxation methods for dynamical systems, Appl. Math. Comput. 78: 83-1001996
 
37. Multi-parameters overrelaxation (MPOR) method for solving linear systems, (Yongzhong Song, Shuanghua Dai), Int. J. Comput. Math. 59: 77-901995
 
36. Waveform Relaxation Methods and Accuracy Increase, Ann. of Diff. Eqs. 11(4): 440-454(1995)
 
35. 算法的数值稳定性的比较, 南京师大学报(自然科学版), 1995 3 , 1-9
 
34. On the convergence of relaxed parallel chaotic iterations for H-matrix (Yongzhong Song, Dongjin Yuan), Int. J. Comput. Math.  52: 195-209(1994
 
33. Convergence of parallel multisplitting methods for H-matrices, Int. J. Comput. Math.50: 213-232(l994)
 
32. On convergence of splitting of matrices, in Numerical Algebra, Proceedings of '92 Shanghai International Numerical Algebra and its Applications Conference, Ed. Er-xiong Jiang, China Science and Technology Press, pp. 117-120, 1994
 
31. 矩阵乘积的特征值估计, 南京师大学报(自然科学版), 1994 2 , 10-13
 
30. Some comparison theorems for nonnegative splittings of matrices,    Numer. Math. 65: 245-252(1993)
 
       
29. Convergence and comparisons of waveform relaxation method for linear ODE systems, Computing, 50: 337-352(1993)
 
28. Convergence of splitting of matrices, Calcolo 30: 91-105(1993)
 
27. Waveform relaxation methods for initial value problems, Ann. of Diff. Eqs. 9(4): 467-480(1993)
 
26. AOR迭代法的收敛性,应用数学, 19931, 39-45
 
25. 多项式零点的存在区域, 数学学报, 19932, 254-258
 
24. 一类迭代法的舍入误差分析, 计算数学和应用数学学报, 19932, 1 -8
 
23. Lower bounds for the Perron root of a nonnegative matrix, Linear Algebra Appl.169: 269-278(1992)
        
22. Ueber die bewichtete generalisierte Inverse einer Matrix, Z. Angew. Math. Mech.  72: 63-65(1992)
 
21. Konvergenzkriterien fuer das verallgemeinerte AOR-Verfahren, Z. Angew. Math. Mech.72: 445-447(1992)
 
20. 解线性方程组的迭代法的停机准则和误差界, 计算数学, 19921, 27-32
 
19. 任意矩阵的特征值的扰动估计, 应用数学, 19924, 19-25
 
18. 正规矩阵的若干性质, 纯粹数学和应用数学, 19921, 113-116
 
17. 广义强对角优势矩阵的判定, 工程数学学报, 19924, 9-16
 
16. 一类矩阵特征值的扰动, 纯粹数学和应用数学, 19922, 40-43
 
15. 关于H-矩阵的并行多重分裂方法的收敛性, 全国第三界并行算法学术会议论文集华中理工大学出版社, 199212, 130-131
 
14. Comparison of nonnegative splittings of matrices,Linear Algebra Appl. 154/156: 433-455(1991)
       
13. 正定矩阵的Minkowski 不等式的推广, 数学季刊, 19913, 64-66
 
12. AOR, SOR 和块JOR 迭代法的收敛性, 南京师大学报(自然科学版),
 
11. 矩阵分裂的单调收敛性, 应用数学, 19891, 31-36
 
10. GAOR迭代的收敛性, 计算数学, 19894, 405-412
 
9. AOR迭代SOR迭代和JOR迭代的收敛性, 高等学校计算数学学报, 19871, 88-92
 
8. SOR迭代法的误差分析, 高等学校计算数学学报, 19872, 162-169
 
7. 矩阵分裂的收敛性(), 南京师大学报(自然科学版), 19874, 25-27
 
6. 任意矩阵的特征值的扰动界, 计算数学, 19861, 101-105
 
5. AOR迭代法的收敛性, 计算数学, 19863, 332-337
 
4. 矩阵分裂的收敛性, 南京师大学报(自然科学版), 19864, 47-50
 
3. Ostrowski-Reich 定理在AOR 方法中的推广, 计算数学, 19853, 323-326
 
2. 关于Young 的一个定理的注记, 南京师大学报(自然科学版), 19853,8-8
     
1.  矩阵加权M-P逆的新探讨, 南京师大学报(自然科学版), 19841, 36- 45(96)
 

科研项目

起止时间
项目名称
1985.1 - 1987.12  
省高教局基金: 数值代数的理论与应用 (参加者)
1987.1 - 1990.1
国家自然科学基金: 现代舍入误差分析(参加者)
1990.1 - 1992.12
国家自然科学基金: 大型非对称线性系统的理论及解法 (主要参加者)
1989.1 - 1991.12
省教委自然科学基金: 求解非对称线性方程组的算法研究 (主要参加者)
1992.1 - 1994.12
省教委自然科学基金: 线性方程组的迭代解法(项目负责人)
1993.1 - 1995.12
国家自然科学基金: 代数-微分方程的数值处理(项目负责人)
1995.1 - 1998.1
江苏省自然科学基金: 奇异常微分方程组的理论及其数值解 (项目负责人)
1996.1 - 1998.12
省教委自然科学基金: 约束线性方程组的数值解法(主要参加者)
1997.1 - 2000.12
省教委"青蓝工程科研资助基金":代数-微分方程的理论及其数值解(项目负责人)
1998.10- 2000.12
省教委回国人员基金:奇异线性方程组和马可夫链的迭代解法(项目负责人)
1999.9 - 2002.8
江苏省自然科学基金: 代数-微分方程的数值解(项目负责人)
2002.1-2004.12
江苏省“333工程基金:奇异线性方程组和马可夫链的迭代解法(项目负责人)
2004.1-2006.12
国家自然科学基金: 代数-微分方程的理论及其数值解(项目负责人)
2005.62007.12
教育厅自然科学基金项目:非对称稀疏矩阵预处理子的构造(主要参加者)
2006.6-2008.12
江苏省自然科学基金重点项目:非对称线性方程组的预处理技术(项目负责人)
2007.1-2011.12
高等学校全国优秀博士学位论文作者专项资金:奇异方程组的可解性理论及其数值算法(项目负责人)
2010.10-2013.6
江苏省“333工程资助科研项目:线性方程组的预处理迭代法研究(项目负责人)
2009.9-2011.12
江苏省自然科学基金项目:大型稀疏非对称线性方程组的预处理技术及高效算法(主要参加者)
2010.1-2012.12
国家自然科学基金项目:大型稀疏非对称线性方程组的预处理及高效算法研究(主要参加者)
2013.1-2016.12
国家自然科学基金项目:正广义系统的理论与数值模拟及其在生态环境模型中的应用(项目负责人)

所获奖励

获奖时间
所获奖励
1987
南京师范大学科技进步二等奖:任意矩阵的特征值的扰动界
1989
南京师范大学优秀论文奖:AOR迭代法的收敛性
1990
江苏省科技进步奖三等奖:多项式零点性态和线性系统算法的数值稳定性
1991
南京师范大学科技进步三等奖:解线性方程组的迭代法的收敛性(系列论文)
1992
江苏省科技进步奖四等奖:解线性方程组的迭代法的收敛性及其比较
1992
(首届)江苏省普通高等学校优秀青年骨干教师
1993
南京师范大学科技进步一等奖:矩阵分析中的若干结果
1993
南京师范大学优秀共产党员
1994
(第二届)江苏省普通高等学校优秀青年骨干教师
1994
政府特殊津贴
1994
南京师范大学首届优秀中青年骨干教师
1995
南京师范大学优秀共产党员
1995
江苏省高等学校优秀共产党员
1996
19951996年度国家"百千万人才工程"国家级人选
1996
"江苏省普通高等学校跨世纪学术带头人"培养人选
1996
江苏省科技进步奖三等奖:矩阵分裂和波型迭代法的收敛性
1996
南京师范大学"跨世纪学术带头人"培养人选
1996
南京师范大学"树人奖"
1997
江苏省"333跨世纪学术、技术带头人培养工程"第二层次培养对象
1998
江苏省优秀研究生教师
1999
江苏省有突出贡献的中青年专家
1999
南京师范大学优秀学科带头人
2002
江苏省优秀科技工作者
2002
江苏省“333新世纪学术、技术带头人培养工程第二层次培养对象
2004
2004年度南京大学优秀博士学位论文:解奇异线性方程组的迭代法
2005
江苏省优秀博士学位论文:解奇异线性方程组的迭代法
2006
全国优秀博士学位论文:解奇异线性方程组的迭代法
2006
2006年江苏省高等学校二类精品课程:偏微分方程数值解
2006
江苏省科学技术进步奖二等奖:科学工程计算中高性能算法的研究
2007
江苏省人民政府高等教育教学成果特等奖:以培养高素质基础教育师资为目标的教育硕士质量保证体系建设
2007
江苏省“333高层次人才培养工程首批中青年科技领军人才
2009
国家高等教育教学成果二等奖:教育硕士培养质量保障体系建设
2011
教育教学成果一等奖:以创新能力为核心、学位论文为重点的计算数学研究生质量体系构建
2013
江苏省人民政府高等教育教学成果特等奖:推进新时期教师教育实体化、高端化、一体化改革,打造教育家成长摇篮
2014
国家高等教育教学成果二等奖:推进新时期教师教育高端化、实体化、一体化改革,打造教育家成长摇篮

社会工作

所在机构及担任职务
全国政协委员
中共江苏省纪委委员
公安部特邀监督员
江苏省科学技术协会副主席
全国博士后管委会专家组成员
中国高等教育学会高等教育管理研究会副理事长
中国高等教育学会地方大学教育研究分会副会长
全国教师教育学会理事
江苏省国际人才交流协会常务理事
江苏省人才学会副会长
江苏省学位委员会委员
Numerical Algebra, Control and Optimization 》主编
《高等学校计算数学学报》编委
科学出版社《科学计算及其软件教学丛书》编委会副主任委员
科学出版社《信息与计算科学丛书》编委会委员
江苏省自然科学基金委员会基础学科组组长

 

 返回
南京师范大学数学科学学院 版权所有 Copyright © 2009
通讯地址:南京市亚东新城区文苑路1号 南京师范大学数学科学学院 邮政编码:210023
联系电话:025-85898785