基本信息

姓名: 杨银

职称: 教授

办公室: 数学北楼218

邮箱: yangyinxtu@xtu.edu.cn

个人简介

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

学习工作经历

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

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，图像处理、大数据、深度学习

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，图像处理、大数据、深度学习

专业学位硕士研究生：应用统计

科研项目

[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—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

[1]. 2020年，湖南省***基金获得者

[2]. 2020年，湖南省“芙蓉学者奖励计划”青年学者

[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，湘潭大学韶峰学者学术带头人

[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

• 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): 2040001, 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.

• •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.

• 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.

• 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. 

• 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.