欢迎进入兰州大学数学与统计学院

伍渝江

兰州大学数学与统计学院     教授   伍渝江

研究方向
数值代数、微分方程数值解
个人简历
(一) 学习简历	
 1978.02.--1982.01.	兰州大学数学力学系,本科生(获学士学位)
 1982.02.--1985.01.	兰州大学数学力学系,研究生(获硕士学位)
 1994.03.--1997.05.	上海大学理学院数学系,研究生(获博士学位)
 1997.09.--1999.11.	兰州大学物理科学与技术学院,博士后
(二)工作简历(含30天以上的学术访问与研究)
 1985.01.--至今兰州大学数学与统计学院,教师(助教、讲师、副教授、教授)其中:
 1991.09.	法国南巴黎大学数学系,国家公派访问学者
 2001.06./ 2008.10.两次赴中国科学院计算数学与科学工程计算研究所,访问学者/访问教授
 2015.03.	巴西 UFPR/FIEP 工业数学研究所,国家公派博士生导师短期交流
(此外,2013.07. /2015.06. 两次受IMPA资助赴该所合作研究)
 2015.05.	美国哥伦比亚大学应用物理与应用数学系,访问科学家
 2017.02.	美国加州大学伯克利分校数学系,访问研究
教学及指导学生情况
讲授主要课程:
 本科生:数学分析、数值分析、微分方程数值解(含全英文授课)等
 研究生:现代计算方法(含全英文授课)、非线性方程组迭代解等
指导研究生:
迄今毕业且获得学位 80人(硕士60人、博士18人、博士后2人)
发表论文及专著
BOOK
[1] Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis-Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with their Numerical Simulations, Interdisciplinary Mathematical Sciences, Vol. 15, World Scientific, Singapore, (2013). (With Li C.-P. and Ye R.-S.)

PAPERS
[01] On symmetric block triangular splitting iteration method for a class of complex symmetric system of linear equations. Appl. Math. Lett., 79 (2018), pp 131-137. (With Li X.-A. and Zhang W.-H.)
[02] A non-alternating preconditioned HSS iteration method for non-Hermitian positive definite linear systems. Comput. Appl. Math., 36 (2017), pp 367-381. (With Li X. and Yuan J.-Y.)
[03] Synchronization of fractional fuzzy cellular neural networks with interactions. Chaos, 27 (2017), No. 10, 103106, 7 pp. (With Ma W.-Y., Li C.-P. and Wu Y,-Q.)
[04] Pinning synchronization between two general fractional complex dynamical networks with external disturbances. IEEE/CAA J. Autom. Sin. 4 (2017), pp 332-339. (With Ma W.-Y. and Li C.-P.)
[05] Two modified block-triangular splitting preconditioners for generalized saddle-point problems, Comput. Math. Appl., 74 (2017), pp 1176-1197. (With Zhou S.-W. and Yang A.-L.)
[06] A relaxed block-triangular splitting preconditioner for generalized saddle-point problems. Int. J. Comput. Math. 94 (2017), pp 1609-1623. (With Zhou S.-W. and Yang A.-L.)
[07] Characteristic local discontinuous Galerkin methods for incompressible Navier-Stokes equations. Commun. Comput. Phys. 22 (2017), pp 202-227. (With Wang S.-Q., Yuan J.-Y. and Deng W.-H.)
[08] High-order quasi-compact difference schemes for fractional diffusion equations. Commun. Math. Sci. 15 (2017),  pp 1183-1209. (With Yu Y.-Y. and Deng W.-H.)
[09] Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations. Appl. Numer. Math. 112 (2017),  pp 126-145. (With Yu Y.-Y., Deng W.-H. and Wu J.)
[10] Fast predictor-corrector approach for the tempered fractional differential equations. Numer. Algorithms 74 (2017), pp 717-754  (With Deng J.-W. and Zhao L,-J.)
[11] A new Uzawa-type iteration method for non-Hermitian saddle-point problems. East Asian J. Appl. Math. 7 (2017), pp 211-226. (With Dou Y. and Yang A.-L.)
[12] Non-alternating Newton-PHSS iteration method for systems of nonlinear equations. (Chinese) Commun. Appl. Math. Comput., 31 (2017), pp 153-162. (with Chen L.)
[13] A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations, J. Sci. Comput., 68 (2016), pp 826-847. (With Wang S.-Q., Yuan J.-Y. and Deng W.-H.)
[14] Impulsive synchronization of fractional Takagi-Sugeno fuzzy complex networks. Chaos 26 (2016), No. 8, 084311, 8 pp  (With Ma W.-Y. and Li C.-P.)
[15] Effects of the tempered aging and the corresponding Fokker-Planck equation. J. Stat. Phys. 164 (2016), pp 377-398 (With Deng W.-H., Wang W.-L. and Tian X.-C.)
[16] Modified parameterized inexact Uzawa method for singular saddle-point problems. Numer. Algorithms 72 (2016), pp 325-339. (With Dou Y. and Yang A.-L.)
[17] The modified shift-splitting preconditioners for nonsymmetric saddle-point problems. Appl. Math. Lett. 59 (2016), pp 109-114. (With Zhou S.-W., Yang A.-L. and Dou Y.)
[18] Efficient algorithms for solving the fractional ordinary differential equations. Appl. Math. Comput., 269 (2015), pp 196-216. (With Deng J.-W. and Zhao L,-J.)
[19] Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for a class of linear matrix equations. Comput. Math. Appl. 70 (2015), pp 1357-1367. (With Zhang W.-H. and Yang A.-L.)
[20] Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems. Appl. Math. Model. 39 (2015), pp 5436-5451. (Yang A.-L., Huang Z.-D. and Yuan J.-Y.)
[21] On generalized parameterized inexact Uzawa methods for singular saddle-point problems. Numer. Algorithms 69 (2015), pp 579-593. (With Yang A.-L., Dou Y. and Li X.)
[22] Sixth-order compact extended trapezoidal rules for 2D Schrödinger equation. J. Math. Study 48 (2015), pp 30-52. (With Liu X.-H., Yuan J.-Y., de Sampaio R.J.B. and Wang Y.-T.)
[23] Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model. Comput. Math. Appl. 69 (2015), pp 743-759. (With Yu Y.-Y. and Deng W.-H.)
[24] General constraint preconditioning iteration method for singular saddle-point problems. J. Comput. Appl. Math. 282 (2015), pp 157-166. (With Yang A.-L. and Zhang G.-F.)
[25] On semi-convergence of the Uzawa-HSS method for singular saddle-point problems. Appl. Math. Comput. 252 (2015), pp 88-98. (With Yang A.-L. and Li X.)
[26] On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems, Lin. Algebra Appl., 459 (2014), pp 493-510. (With Dou Y. and Yang A.-L.)
[27] Two-parameter inexact Picard iterative methods for a class of weakly nonlinear systems. (Chinese) Numer. Math. J. Chinese Univ. 36 (2014), pp 370-384. (With Wang Y.)
[28] Picard-MHSS methods for weakly nonlinear systems. (Chinese) Math. Numer. Sin. 36 (2014), no. 3, 291–302. (With Wang Y. and Fu J.)
[29] Adaptive synchronization of fractional neural networks with unknown parameters and time delays. Entropy 16 (2014), pp 6286-6299. (With Ma W.-Y., Li C.-P. and Wu Y,-Q.)
[30] The Uzawa-HSS method for saddle-point problems. Appl. Math. Lett. 38 (2014), pp 38-42. (With Yang A.-L.)
[31] Parameterized preconditioned Hermitian and skew-Hermitian splitting iteration method for saddle-point problems. Int. J. Comput. Math. 91 (2014), pp 1224-1238. (With Li X. and Yang A.-L.)
[32] Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems. Appl. Math. Comput. 244 (2014), pp 552-560. (With Li X., Yang A.-L. and Yuan J.-Y.)
[33] The semi-convergence properties of MHSS method for a class of complex nonsymmetric singular linear systems. Numer. Algorithms 66 (2014), pp 705-719.(With Yang A.-L. and Xu Z.-J.)
[34] Lopsided PMHSS iteration method for a class of complex symmetric linear systems. Numer. Algorithms 66 (2014), pp 555-568. (With Li X. and Yang A.-L.)
[35] A generalized HSS iteration method for continuous Sylvester equations. J. Appl. Math. 2014, Art. ID 578102, 9 pp. (With Li X., Yang A.-L. and Yuan J.-Y.) 
[36] Polynomial spectral collocation method for space fractional advection-diffusion equation. Numer. Methods Partial Differential Equations 30 (2014), pp 514-535. (With Tian W.-Y. and Deng W.-H.) 
[37] Preconditioning analysis of the one dimensional incremental unknowns method on nonuniform meshes. J. Appl. Math. Comput. 44 (2014), pp 379-395. (With Yang A.-L.) 
[38] Accelerated Newton-GPSS methods for systems of nonlinear equations. J. Comput. Anal. Appl. 17 (2014), pp 245-254. (With Li X.)
[39] Orthogonal spline collocation methods for the subdiffusion equation. J. Comput. Appl. Math. 255 (2014), pp 517-528. (With Li C., Zhao T.-G. and Deng W.-H.)
[40] Shortley-Weller approximation for problems with singular solutions: convergence and numerical computation. Commun. Appl. Math. Comput. 27 (2013), pp 16-32. (With Wu Y.-Q.)
[41] Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation. Sci. China Math. 56 (2013), pp 2161-2178. (With Yu Y.-Y. and Deng W.-H.)
[42] A robust adaptive method for singularly perturbed convection-diffusion problem with two small parameters. Comput. Math. Appl. 66 (2013), pp 996-1009. (With Zhang N. and Yuan J.-Y.)
[43] Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation. Appl. Numer. Math. 70 (2013), pp 22-41. (With Chen M.-H. and Deng W.-H.)
[44] Nonlinear stability of reaction-diffusion equations using wavelet-like incremental unknowns. Appl. Numer. Math. 68 (2013), pp 83-107. (With Song L.-J.)
[45] Algebraic preconditioning analysis of the multilevel block incremental unknowns method for anisotropic elliptic operators. Math. Comput. Modelling 57 (2013), pp 512-524. (With Yang A.-L. and Song L.-J.)
[46] High order finite difference WENO schemes for fractional differential equations. Appl. Math. Lett. 26 (2013), pp 362-366. (With Deng W.-H. and Du S.-D.)
项目成果
1. 基于不可压缩流体计算的高性能复预处理研究,国家自然科学基金面上项目. (2015, 主持)
2. 事故物质大气迁移的数值模拟和观测研究,国家重点基础研究项目(973计划)子课题. (2011, 参加)
3. 腾格里沙漠与巴丹吉林沙漠边缘地带工程治沙的技术和基础研究,甘肃省科技计划-科技重大专项计划(2008, 主持)
荣誉、获奖
2016	甘肃陇南市科技进步奖
社会工作
2011-2019	中国计算数学学会/中国数学会计算数学分会	理事(2011-2014)、常务理事(2014-2019)
2007-	        中国仿真学会仿真算法专业委员会	委员
2018-	        中国高等教育学会教育数学专业委员会 理事
2004-2014	高等学校计算数学学报	编委
2014-2020	计算数学	编委
2008-	        美国 Mathematical Reviews	Reviewer
2009-2016	美国 SIAM	Outreach  member
2014-2017	国际线性代数学会	Member
其它信息

作者:伍渝江