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伍渝江


姓名:伍渝江(Wu Yu-Jiang, Wu Yujiang

职称:教授(博士生导师)

通信地址:甘肃省兰州市天水南路222号,兰州大学数学与统计学院

邮编:730000

MAILING ADDRESS:

Professor Yu-Jiang Wu

School of Mathematics and Statistics

Lanzhou University

Lanzhou, Gansu 730000

People’s Republic of China

学习简历:

1978.03.--1982.01. 兰州大学数学力学系,本科生(获学士学位)

1982.03.--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

工作(含访问研究)经历:

1985.01.--至今,兰州大学数学与统计学院,教师

1991.09. 法国南巴黎大学数学系,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,博导短期交流(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

教学:

本科生授课《数学分析》《数值分析》《微分方程数值解》等

研究生授课《现代计算方法》《非线性方程组迭代解》等

科研与人才培养:

主持和参与的科研项目与教研项目十余项。主要研究领域:微分方程数值解、数值代数。迄今已发表论文百篇(其中 SCI 论文50余篇),出版英文著作一部。已培养了毕业硕士生50名(统招41+其他9名)、博士生11名,出站博士后2名。

学术兼职:

中国计算数学学会常务理事,《计算数学》编委

附录:部分代表性论著

[01] Wang Deren, Wu Yujiang. A parallel circular algorithm for the simultaneous determination of all zeros of a complex polynomial, Freiburger Intervall-Berichte, 8 (1984), pp 57-76.
[02] Wang Deren, Wu Yujiang. Some modifications of the parallel Halley iteration method and their convergence, Computing, 38 (1987), pp 75-87.
[03] 伍渝江. 关于近似惯性流形及其数值方法的研究,力学进展,24 (1994) , pp 145-153.
[04] Wu Yujiang. Remarks on the nonlinear Galerkin method for Kuramoto- Sivashinsky equation, Applied Mathematics and Mechanics, 18 (1997), pp 1005- 1013.
[05] Yang Zhonghua, Wu Yujiang, Guo Benyu. Computation of nonlinear Galerkin methods with variable modes for 2-D K-S equations, In:  Advance in Computational Mathematics, Ed. by Z. Chen, Y. L i, A. Micchelli and Y. Xu, Lecture Notes in Pure and Applied Mathematics, Vol 202, Proceedings of Guangzhou International Symposium on Computational Mathematics, Marcel Dekker Inc., New York, (1999), pp 545--563.
[06] Wu Yujiang. A nonlinear Galerkin method with variable modes for Kuramoto-Sivashinsky equation, Journal of Computational Mathematics, 17 (1999), pp 243-256.
[07] Wu Yujiang, Guo Benyu. Localization and approximation of attractors for the Kuramoto-Sivashinsky equations, Acta Math. Sci., 20B (2000), pp 145-154.
[08] Wu Yujiang, Yang Zhonghua. On the error estimates of the fully discrete nonlinear Galerkin method with variable modes to Kuramoto-Sivashinsky equation. Recent progress in computational and applied PDEs (Zhangjiajie, 2001), Kluwer/Plenum, New York, (2002), pp 383–397.
[09] Deng Weihua, Wu Yujiang, Li Changpin. Stability analysis of differential equations with time-dependent delay, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 16 (2006), pp 465-472.
[10] Wu Yujiang, Yang Aili. Incremental unknowns for the heat equation with time-dependent coefficients: semi-implicit θ-schemes and their stability, Journal of Computational Mathematics, 25 (2007), pp 573-582.
[11] Wu Yujiang, Jia Xingxing, She Anlong. Semi-implicit schemes with multilevel wavelet-like incremental unknowns for solving reaction diffusion equation, Hokkaido Mathematical Journal, 36 (2007), pp 711-728.
[12] Song Lunji, Wu Yujiang. Incremental unknowns method based on the θ-scheme for time-dependent convection-diffusion equations, Mathematics and Computers in Simulation, 79 (2009), pp 2001-2012.
[13] Qian Ailin, Wu Yujiang. A computational method for a Cauchy problem of Laplace's equation, Applied Mathematics and Computation, 207 (2009), pp 478-485.
[14] Wu Yujiang, Wang Yang, Zeng Minli, Yang Aili. Implementation of a modified Marder-Weitzner method for solving nonlinear eigenvalue problems. Journal of Computational and Applied Mathematics, 226 (2009), pp 166-176.
[15] Sun Hai, Wu Yujiang, Finite element method analysis of the cutoff wavelength of dominant mode in unilateral finline, Journal of Infrared Millimeter and Terahertz Waves, 32 (2011), pp 34-39.
[16] Sun Linan, Wu Yujiang, Yang Aili. Uniform convergence analysis of finite difference approximations for advection-reaction-diffusion problem on adaptive grids, International Journal of Computer Mathematics, 88 (2011), pp 3292-3307.
[17] Li Can, Deng Weihua, Wu Yujiang. Numerical analysis and physical simulations for the time fractional radial diffusion equation, Computers and Mathematics with Applications, 62 (2011) , pp 1024–1037.
[18] Wu Yongqing, Li Changpin, Wu Yujiang, Jurgen Kurths. Generalized synchronization between two different complex networks, Communications in Nonlinear Science and Numerical Simulation, 17 (2012), pp 349-355.
[19] Zhao Tinggang, Wu Yujiang, Ma Heping. Error Analysis of Chebyshev- Legendre Pseudo-spectral Method for a Class of Nonclassical Parabolic Equation, Journal of Scientific Computing, 52 (2012), pp 588-602.
[20] Zhou Han, Wu Yujiang, Tian Wenyi. Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation, Applied Mathematics and Computation, 219 (2012), pp 2875-2884.
[21] Chen Minghua, Deng Weihua, Wu Yujiang. Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation. Applied Numerical Mathematics, 70 (2013), pp 22-41.
[22] Wu Yujiang, Zhang Na, Yuan Jinyun. A robust adaptive method for singularly perturbed convection–diffusion problem with two small parameters, Computers and Mathematics with Applications, 66 (2013) , pp 996–1009.
[23] Wu Yujiang, Wu Yongqing. Shortley-Weller approximation for problems with singular solutions: convergence and numerical computation, 应用数学与计算数学学报,27 (2013), pp 16-32.
[24] Li Changpin, Wu Yujiang, Ye Ruisong, 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).
[25] Yu Yanyan, Deng Weihua, Wu Yujiang. Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation, Science China. Mathematics, 56 (2013), pp 2161-2178.
[26] Li Xu, Wu Yujiang. Accelerated Newton-GPSS methods for systems of nonlinear equations, Journal of Computational Analysis and Applications, 17 (2014), pp 245-254.
[27] Ma Weiyuan, Li Changpin, Wu Yujiang, Wu Yongqing. Adaptive synchronization of fractional neural networks with unknown parameters and time delays. Entropy, 16 (2014), pp 6286-6299.
[28] Dou Yan, Yang Aili, Wu Yujiang, On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems, Linear Algebra and Its Applications, 459 (2014), pp 493-510.
[29] Deng Jingwei, Zhao Lijing, Wu Yujiang, Efficient algorithms for solving the fractional ordinary differential equations. Applied Mathematics and Computation, 269 (2015), pp 196-216.
[30] Wang Shuqin, Yuan Jinyun, Deng Weihua, Wu Yujiang, A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations, Journal of Scientific Computing, (2016).