基本信息

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姓名: 杨银

职称: 教授
办公室:数学北楼217
邮箱: yangyinxtu@xtu.edu.cn

个人简介

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博士，教授，博士生导师，入选湖南省“芙蓉****奖励计划”青年****、湖南省****基金获得者。


学习工作经历

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教育经历：
2006.06-2010.06, 湘潭大学，计算数学专业，博士研究生
2003.06-2006.06, 湘潭大学，计算数学专业，硕士研究生
1999.09-2003.06, 湘潭大学，数学与应用数学专业，大学本科
职称经历：
2016.12-至今， 湘潭大学数学与计算科学学院，教授
2011.12-2016.12, 湘潭大学数学与计算科学学院，副教授
2008.08-2011.11, 湘潭大学数学与计算科学学院，讲师
2006.06-2008.08, 湘潭大学数学与计算科学学院，助教
研究方向

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研究方向：

谱方法、自适应算法、分数阶微分方程的数值算法、流体数值模拟
招生：
博士后：数学一级学科
博士研究生：数学一级学科，微分方程数值方法及应用，大数据
学术型硕士研究生： 数学一级学科，偏微分方程数值解方法方向，大数据
专业学位硕士研究生：应用统计，大数据


科研项目

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[1]. 国家重点研发计划项目：智能导航及遥感数据高精度融合的数学方法，课题3：多源异构空间遥感数据模型与定标应用，2020.12-2025.11，主持
[2]. 国家自然科学基金面上项目：几类非线性非局部偏微分方程的高效高精度数值方法研究，2021-2024，主持
[3]. 湖南省****基金项目：几类非局部微分方程的高效算法研究及应用，2020-2022，主持
[4]. 国家自然科学基金重点项目：分数阶偏微分方程高阶算法及后验误差分析，2020-2024，参与

[5]. 湖南省自然科学基金面上项目：分数阶微分方程的高阶算法理论及应用研究，2018-2019，主持

[5]. 湖南省科学技术协会“海智计划”示范项目：机器学习中的优化理论与算法，2019，主持
[7]. 湖南省科学技术协会“海智计划”项目：计算科学湖南省海智基地，2018，主持
[8]. 湖南省海外名师讲堂专项计划项目：解斯多克斯方程的协调有限元方法，2018，主持
[9]. 国家自然科学基金面上项目：几类非局部方程的高效谱方法研究，2017-2020，主持
[10]. 湖南省教育厅科学研究重点项目：积分微分方程的高阶算法研究，2017-2020，主持
[11].湖南省自然科学基金青年项目：几类积分微分方程的高效谱方法研究，2016-2018，主持

[12].国家自然科学基金重大研究计划重点支持项目：相场数学模型及相关数学问题高精度数值方法，2015-2018，参与
[13].国家自然科学基金青年项目：非线性Volterra 型积分微分方程的高精度谱方法，2014-2016，主持
[14].中国博士后科学基金面上项目：基于超收敛的自适应有限元方法和网格生成技术，2013-2014，主持

[15].湖南省科技厅科技计划项目：带广义奇异核的积分微分方程的谱配置方法研究，2013-2015，主持
[16].湖南省教育厅优秀青年项目：带弱奇异核的积分微分方程的高精度谱方法，2013-2016，主持
[17].国家自然科学基金天元项目：求解带奇性时间分数阶偏微分方程的移动网格方法，2012-2012，主持






获奖或荣誉

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[1]. 2020年，湖南省****基金获得者
[2]. 2020年，湖南省“芙蓉****奖励计划”青年****
[3]. 2019年，湖南省高等教育教学成果特等奖（排名第二）
[4]. 2019年，湖南省担当作为优秀干部
[5]. 2017年，湘潭大学韶峰****学术带头人
[6]. 2019年，湘潭大学优秀教育工作者
[7]. 2016年，湖南省普通高校青年骨干教师培养对象



发表论文

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Guoting Deng, Yin Yang, Emran Tohidi, High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels, Applied Mathematics and Computation, 396, 125866, 2021.

Yin Yang, Zhuyan Tang, Mapped Spectral collocation methods for Volterra integral equations with noncompact kernels, Applied Numerical Mathematics, 160:166-177, 2021.
Yin Yang, M.H. Heydari, Z. Avazzadeh and A. Atangana，Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations, Advances in Difference Equations, 2020: 611, 2020

Yin Yang, Jiaqi Zhang, Huan Liu, Aleksandr O. Vasilev, An indirect convergent Jacobi spectral collocation method for fractional optimal control problems, Mathematical Methods in Applied Sciences, https://doi.org/10.1002/mma.5968
Yin Yang, Sujuan Kang and Vasiliy I. Vasil'ev, The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions, Electronic Research Archive, 28(3): 1161-1189, September 2020
Yin Yang, M. H. Noori Skandari, Pseudospectral Method for Fractional Infinite Horizon Optimal Control Problems, Optimal Control Applications and Methods，2020;1–12. https://doi.org/10.1002/oca.2649
M.H. Heydari, A. Atangana, Z. Avazzadeh, Y. Yang, Numerical treatment of the strongly coupled nonlinear fractal-fractional Schro¨ dinger equations through the shifted Chebyshev cardinal functions, Alexandria Engineering Journal, 59, 2037–2052, 2020.
M. H. Heydari, Z. Avazzadeh and Y. Yang, Numerical treatment of the space–time fractal–fractional model of nonlinear dvection–diffusion–reaction equation through the bernstein polynomials, Fractals, 28(8): **, 2020.
Yin Yang, Jindi Wang, Shangyou Zhang, Emran Tohidi, Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schr\"{O}dinger equations, Applied Mathematics and Computation, 387: 124489, 2020.
Mohammad Hossein Heydari, Zakieh Avazzadeh, Yin Yang, Carlo Cattani, A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations, Computational and Applied Mathematics, 39(1):2, March 2020.
Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev, A Jacobi collocation method for the fractional Ginzburg-Landau differential equation, Advances in Applied Mathematics and Mechanics, Vol.12, No. 1, pp. 57-86, February 2020
Yin Yang, Fazlollah Soleymani, Mahdiar Barfeie, Emran Tohidi, A radial basis function -Hermite finite difference approach to tackle cash-or-nothing and asset-or-nothing options, Journal of Computational and Applied Mathematics, 368: 112523, 2020
Yin Yang, Emran Tohidi, Xiaohua Ma, Sujuan Kang, Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels, Journal of Computational and Applied Mathematics, 366: 112403, 2020.
Yin Yang, Emran Tohidi, Numerical solution of multi-Pantograph delay boundary value problems via an efficient approach with the convergence analysis, Computational and Applied Mathematics, 38:127, 2019
Yin Yang, Xinfa Yang, Jindi Wang, Jie Liu, The numerical solution of the time-fractional nonlinear Klein-Gordon equation via spectral collocation method, Thermal Science, 2019 Volume 23, Issue 3 Part A, Pages: 1529-1537
Yin Yang, Wanying Qiao, Jindi Wang, Shangyou Zhang, Spectral collocation methods for nonlinear coupled time fractional Nernest-Planck equations in two dimensions and its convergence analysis, Computers and Mathematics with Applications, 78,1431-1449,2019
Mohammad Hossein Heydari, Zakieh Avazzadeh, Yin Yang, A computational method for solving variable-order fractional nonlinear diffusion-wave equation, Applied Mathematics and Computation, 352: 235–248, 2019. (高被引论文）
?Yin Yang, Zhuyan Tang, Yunqing Huang, Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method, Applied Mathematics and Computation, 349: 314–324, 2019.
Yin Yang, Yanping Chen, Spectral Collocation Methods for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels, Bulletin of the Malaysian Mathematical Sciences Society, 42(1), pp 297–314, January 2019. (高被引论文）
Yin Yang, Yunqing Huang, Spectral jacobi-galerkin methods and iterated methods for fredholm integral equations of the second kind with weakly singular kernel, Discrete and Continuous Dynamical Systems Series S, 12(3), 685-702, June 2019.
Xingfa Yang, Yin Yang, Yanping Chen and Yunqing Huang, Jacobi spectral collocation method based on Lagrange interpolation polynomials for solving nonlinear fractional integro-differential equations, Advances in Applied Mathematics and Mechanics,Vol. 10, No. 6, pp. 1440-1458，December 2018.
Yin Yang, Yunqing Huang, Yong Zhou, Numerical simulation of time fractional Cable equations and convergence analysis, Numerical Methods for Partial Differential Equations, 34, 1556-1576, 2018.
Yin Yang, Yunqing Huang, Yong Zhou, Numerical solutions for solving time fractional Fokker-Planck equations based on spectral collocation methods, Journal of Computational and Applied Mathematics, 339, pp.389–404, 2018. (高被引论文）
Yin Yang, Yanping Chen, Yunqing Huang, Huayi Wei, Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis, Computers and Mathematics with Applications, 73(6): 1218–1232, 2017. (高被引论文）
Yin Yang, Yanping Chen, Jacobi spectral Galerkin and iterated methods for nonlinear Volterra integral equation, Journal of Computational and Nonlinear Dynamics, 11(4), 041027-041027-8, 2016.
Yin Yang, Jacobi spectral Galerkin methods for Volterra integral equations with weakly singular kernel, Bulletin of the Korean Mathematical Society, 53(1), pp. 247-262, 2016.
Yin Yang, Jacobi spectral Galerkin methods for fractional integro-differential equations, Calcolo, Volume 52, Issue 4 (2015), Page 519-542.
Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang, Convergence analysis of Legendre-collocation methods for nonlinear Volterra type integral Equations, Advances in Applied Mathematics and Mechanics, 7(1): 74-88, 2015.
Yin Yang, Chebyshev Pseudo-spectral Method for a Class of Space Fractional Partial Differential Yin Yang, Yanping Chen, Yunqing Huang, Convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations, Acta Mathematica Scientia, 34 (3) , pp. 673-690, 2014.
Yin Yang, Yanping Chen, Yunqing Huang, Spectral-collocation method for fractional Fredholm integro-differential equations, Journal of the Korean Mathematical Society, 51(1): 203-224, 2014.
Yin Yang, Yunqing Huang, Spectral-collocation methods for fractional pantograph delay-integro-differential equations, Advances in Mathematical Physics, Volume 2013, Article ID 821327, 14 pages.
Jianjun Xu, Yin Yang, and John Lowengru, A level-set continuum method for two-phase flows with insoluble surfactant, Journal of Computational Physics, 231(17): 5897-5909, 2012.
Qin Zhou, Chen Yanping, Yin Yang, Two Improved Algorithms and Implementation for a Singularly Perturbed Problem on Moving Meshes, Journal of Systems Science & Complexity, 24: 1232–1240, 2011.
Yang Yin, Chen Yanping, Huang Yunqing, Moving mesh method for a modeling of turbulent flow in circular, Journal of Computational Mathematics, 27(2): 388-399, 2009.