旧版入口
导师介绍
数学
徐洪坤
上传时间:2020-03-02 作者: 浏览次数:1868
  1. 导师照片

二、基本信息

姓名:徐洪坤(XUHongKun)

职称:教授

所属学院:理学院

导师类别:博士生导师,硕士生导师

科研方向:1.优化理论及其应用,2.金融数学,3.非线性泛函分析

博士招生学院:(外校兼任博导)

硕士招生学院:理学院

联系方式:xuhk@hdu.edu.cn

三、个人简述

徐洪坤,浙师大学士(1982),浙大硕士(1985),西安交大博士(1988),加拿大达尔豪斯大学博士后(1994);现为杭州电子科技大学特聘教授;曾任华东理工大学讲师和副教授,西班牙塞维利亚大学访问教授,南非夸祖鲁-纳塔尔大学副教授、教授、资深教授,沙特国王大学教授,台湾中山大学西湾讲席教授。曾任台湾中山大学应用数学系主任和理学院院长。发表论文250余篇。已培养硕士研究生32名、博士研究生6名。目前指导硕士研究生5名、博士研究生1名。主要研究领域:非线性泛函分析及其应用,巴拿赫空间几何理论,最优化理论与算法(特别是大数据优化算法和机器学习的数学基础理论),非线性算子方程和反问题的迭代方法,金融数学

四、学术论文

(一)代表性论文(20)

  1. Inequalitiesin Banach spaces with applications, Nonlinear Analysis, Theory,Methods and Applications, 16 (1991), 1127-1138.

  2. Iterativealgorithms for nonlinear operators, Journal of London MathematicalSociety, 66 (2002), no. 2, 240-256.

  3. Viscosityapproximation methods for nonexpansive mappings, Journal ofMathematical Analysis and Applications, 298 (2004), 279-291.

  4. Aregularization method for the proximal point algorithm, Journal ofGlobal Optimization, 36 (2006), 115-125.

  5. (withGuangsheng Wei) On the missing eigenvalue problem for an inverseSturm-Liouville problem, Journal de Mathematiques Pures etAppliquees, 91 (2009), no. 5, 468-475.

  6. Iterativemethods for the split feasibility problem in infinite-dimensionalHilbert spaces, Inverse Problems, 26 (2010) 105018 (17pp).

  7. Averagedmappings and the gradient-projection algorithm, Journal ofOptimization Theory and Applications, 150 (2011), no. 2, 360-378.

  8. (withGuangsheng Wei) Inverse spectral problem for string equation withpartial information on the potential and norming constants,Transactions of the American Mathematical Society, 364 (2012), no.6, 3265-3288.

  9. (withGuangsheng Wei) Inverse spectral analysis for the transmissioneigenvalue problem, Inverse Problems, 29 (2013) 115012 (24pp).

  10. (withY. Jia and J. Wu) Blow-up behavior of positive solutions for achemical fuel ignition device model, Journal of MathematicalPhysics, 55 (2014), 041502.

  11. Propertiesand iterative methods for the Lasso and its variants, Chinese Annalsof Mathematics, Ser. B, 35 (2014), no. 3, 501-518.

  12. withY.JiaandJ. WuPositivesolutions of a Lotka-Volterra competition model withcross-diffusion, Computers and Mathematics with Applications, 68(2014), 1220-1228.

  13. (withW. Takahashi and J.C. Yao) Iterative methods for generalized splitfeasibility problems in Hilbert spaces, Set-Valued and VariationalAnalysis, 23 (2015), no. 2, 205-221.

  14. (withGuangsheng Wei) On the missing bound state data of inversespectral-scattering problems on the half-line, Inverse Problems andImaging, 9 (2015), no. 1, 239-255.

  15. (withC.C. Lai), Pricing Asian options via Taylor approximations, Journalof Nonlinear and Convex Analysis, 16 (2015), no. 10, 2067-2086.

  16. (withV. Colao and L. Muglia) Existence of solutions for a second-orderdifferential equation with non-instantaneous impulses and delay,Annali di Matematica Pura ed Applicata, 195 (2016), no. 3, 697-716.

  17. (withHongjin He and Chen Ling) An implementable splitting algorithm forthe l_1-norm regularized split feasibility problem, Journal ofScientific Computing, 67 (2016), no. 1, 281-298.

  18. Boundedperturbation resilience and superiorization techniques for theprojected scaled gradient method, Inverse Problems, 33 (2017) 044008(19pp).

  19. (withHongjin He) Splitting methods for split feasibility problems withapplication to Dantzig selectors, Inverse Problems, 33 (2017) 055003(28pp).

  20. withHongjin He and L. HouApartially isochronous splitting algorithm for three-block separableconvex minimization problems, Advances in Computational Mathematics,44 (2018), 1091-1115.

(二)代表性科研项目

  1. 基于超算的大数据分析处理基础算法与编程支撑环境(子课题名称:基本优化计算问题的大数据基础算法),国家自然科学基金和广东省联合基金,项目编号:U1811461时间:2019.1-2022.12

  2. Geometryin projection methods and fixed-point theory,AustralianResearch Council/DiscoveryProject项目编号DP200100124时间2020.1-2022.12

  3. 优化问题之稀疏性提升迭代方法,台湾研究基金,项目编号NSC102-2115-M-110-001`-MY3时间2013.8-2016.7

五、主要荣誉

2000ISI引用经典奖

2004年教育部自然科学二等奖(与徐宗本、蒋耀林联合)

2004年南非数学会杰出研究奖

2005年当选南非科学院院士

2012年当选发展中国家科学院(原第三世界科学院)院士

2014入选浙江省****

2014-2016年汤森-路透全球高被引学者

2017-2018科睿唯安全球高被引学者


六、学术兼职

  1. 现任20余种国际数学期刊编委/副主编,其中5SCI期刊如下

CarpathianJournal of Mathematics

FixedPoint Theory

Journalof Nonlinear and Convex Analysis

NumericalFunctional Analysis and Optimization

Optimization,A Journal of Mathematical Programming and Operations Research

  1. 世界科技出版社“当代数学及其应用”专著丛书编委



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