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覃永辉 副高级 (yonghui1676@163.com)    

乐动网页版    

偏微分方程数值解法;矩阵广义逆理论与计算;;

个人简介

1、覃永辉, 博士,毕业上海大学计算数学专业,师从马和平教授从事偏微分方程数值解和谱方法学习研究;

2、2016年12月至今, 任职乐动网页版数学与计算科学学院;

3、主持或参与国家自然科学基金项目、广西自然基金项目、广西重点实验室开放课题等多项;

4、主持广西高等教育改革项目和校级教改项目各1项。

教育背景

2012/9–2016/6, 上海大学, 计算数学, 偏微分方程数值解, 博士, 师从马和平教授.

2009/9–2012/6, 广西民族大学, 应用数学, 广义逆理论/计算, 硕士, 师从刘晓冀教授.

工作经历

2016年12月至今,乐动网页版,数学与计算科学学院.

2019年8月,        北京计算科学研究中心,北京,访问,张智民教授

2020年1月-2月,  南洋理工大学,新加坡, 访问,Prof. Li-Lian Wang

2021年1月-至2022年1月, 北京计算科学研究中心,北京,访问,张智民教授

2022年7月-至2022年8月, 北京计算科学研究中心、中国科学院软件所,北京,访问,张智民教授、李会元研究员

 

主要荣誉
学术活动
教学信息

主讲课程:高等数学、线性代数、概率论与数理统计、矩阵论、矩阵计算

主要论文


  1. Qin, Yonghui; Chen, Yanping; Huang, Yunqing; Ma, Heping; Multidomain Legendre-Galerkin least-squares method for linear differential equations with variable coefficients. Numer. Math. Theory Methods Appl. 13 (2020), no. 3, 665-688.
  2. Qin, YonghuiMa, Heping Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. Appl. Numer. Math. 153 (2020), 52–65.
  3. Qin, YonghuiLi, ShanLi, JingliangLi, Qiaoling Multidomain Legendre-Galerkin Chebyshev collocation least squares method for one-dimensional problems with two nonhomogeneous jump conditions. Int. J. Comput. Math. 96 (2019), no. 12, 2411–2422. (SCI)
  4. Yonghui Qin, Xiaoji Liu, Julio Benitez, Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra, DOI:10.3390/sym11010105. (SCI)
  5.  Yonghui Qin, Zhenshu Xie, Xiaoji Liu, Perturbation Bound for the Drazin Inverse of the Matrix-Value Function, Advances in Mathematical Physics 2019:1-14. (SCI)
  6.  Yonghui Qin, Jingliang Li, Heping Ma, The Legendre Galerkin Chebyshev collocation least squares for the elliptic problem, Numerical Methods for Partial Differential Equations. DOI 10.1002/num.22069. (SCI)
  7. Heping Ma, Yonghui Qin, Qiuli Ou, Multidomain Legendre Galerkin Chebyshev collocation method for one-dimensional evolution equations with discontinuity, Appl. Numer. Math. 111 (2017) 246-259. (SCI)
  8.  Xiaoji Liu, Yonghui Qin, Perturbation Bound for the Generalized Drazin Inverse of an Operator in Banach Space, Filomat 31:16 (2017), 5177–5191. (SCI)
  9. Xiaoji Liu, Yonghui Qin, Cvetkovi′c-Ili′c, Dragana S, Perturbation bounds for the Moore–Penrose inverse of operators, Filomat, vol. 26, 2012, 353–362. (SCI)
  10.  Xiaoji Liu, Yonghui Qin, Successive matrix squaring algorithm for computing the generalized inverse A(2)T,S, Journal of Applied Mathematics, 2012. (SCI)
  11.  Xiaoji Liu, Yonghui Qin, Hui Wei, Perturbation bound of the group inverse and the generalized Schur complement in Banach algebra, Abstract and Applied Analysis, 2012. (SCI)
  12.  Xiaoji Liu, Yonghui Qin, Yaoming Yu, Perturbation bounds for the generalized inverse A(2)T,Swith respect to the Frobenius norm, Applied Mathematics and Computation, vol. 218, 2011, 4595–4604. (SCI)
  13. Xiaoji Liu, Yonghui Qin, Iterative methods for computing the weighted Minkowski inverses of matrices in Minkowski space. World Academy of Science, Engineering and Technology 75, 2011.
  14.  Xiaoji Liu, Yonghui Qin, Perturbation of the generalized Drazin inverse in Banach algebras, Acta Mathematica Sinica. Chinese Series, vol. 57, 2014, 35–46.
  15.  Julio Ben′tez, Xiaoji, Liu, Yonghui Qin, Representations for the generalized Drazin inversein a Banach algebra, Bulletin of Mathematical Analysis and Applications, vol. 5, 2013, 53–64.


 
 
学术著作

王宏兴、覃永辉、刘晓冀,《Banach 代数上元素线性组合的广义Drazin逆》,科学出版社,2018

科研项目

1 主持国家自然科学基金青年项目,11701119,非线性偏微分方程的最小二乘谱方法及在间断问题计算中一些应用, 2018/01-2020/12,25万元,已结题;

2 参与国家自然科学基金地区项目,11761024,若干闭凸或非凸约束矩阵最小二乘问题的有效算法及应用研究, 2018/01-2021/12,36.5万元,在研;

3 参与国家自然科学基金面上项目,11571224, 间断问题谱元法及其在电磁场计算中的应用, 2016/1–2019/12;已结题

4  主持广西科技基地和人才专项,2018AD19051, 非线性发展方程最小二乘时空谱差分法及其在流体模型的计算, 2018/12-2021/11, 18万, 在研;

5  主持广西自然科学基金青年科学基金项目,2017GXNSFBA198053, 非线性偏微方程时空谱方法及其快速算法, 2017/09-2020/09, 8万, 已结题;

6  主持广西混杂计算与集成电路设计分析重点实验室开放基金, 偏微分方程最小二乘耦合谱方法及并行算法, 2017/03/2019/03, 2万, 已结题;

7 大学生创新创业项目:期权定价问题的高精度计算方法, 团体, 国家级, 2017, 第一指导教师;

8 基于《高等数学》课程改革的微课发展现状及其设计方案的探索, 2017, 校级一般项目, 主持.

知识产权
联系信息

乐动网页版, 数学与计算科学学院, 6教楼409室

E-mail: yonghui1676@163.com, yonghui@shu.edu.cn

18007872129

常用链接

Ma, HepingSun, Weiwei A Legendre-Petrov-Galerkin and Chebyshev collocation method for third-order differential equations. SIAM J. Numer. Anal. 38 (2000), no. 5, 1425–1438. 

Ma, HepingSun, Weiwei Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation. SIAM J. Numer. Anal. 39 (2001), no. 4, 1380–1394. 

Li, HuiyuanWu, HuaMa, Heping The Legendre Galerkin-Chebyshev collocation method for Burgers-like equations. IMA J. Numer. Anal. 23 (2003), no. 1, 109–124.

Wu, HuaMa, HepingLi, Huiyuan Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation. SIAM J. Numer. Anal. 41 (2003), no. 2, 659–672.

Huang, WeizhangMa, HepingSun, Weiwei Convergence analysis of spectral collocation methods for a singular differential equation. SIAM J. Numer. Anal. 41 (2003), no. 6, 2333–2349.

Ma, HepingQin, TinghuaZhang, Wen An efficient Chebyshev algorithm for the solution of optimal control problems. IEEE Trans. Automat. Control 56 (2011), no. 3, 675–680.

Ma, HepingQin, YonghuiOu, Qiuli Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity. Appl. Numer. Math. 111 (2017), 246–259.

Li, HuiyuanMa, HepingSun, Weiwei Legendre spectral Galerkin method for electromagnetic scattering from large cavities. SIAM J. Numer. Anal. 51 (2013), no. 1, 353–376.

Qin, YonghuiMa, Heping Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. Appl. Numer. Math. 153 (2020), 52–65. 


http://mathscinet.ams.org/mathscinet/

http://www.dam.brown.edu/people/shu/home.html

http://www.math.purdue.edu/~shen/

https://blogs.ntu.edu.sg/wanglilian/

https://www.researchgate.net/profile/Yonghui_Qin

https://www.bilibili.com/video/av41053896/  

https://www.bilibili.com/video/av18657710/?spm_id_from=333.788.videocard.2