周永涛

周永涛

Email: zhouyongtao@qut.edu.cn

周永涛，博士，副教授。主要从事分数阶微分方程数值解、分数阶微分方程快速迭代算法、带弱奇异核的Volterra积分-微分方程数值解的研究。

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个人简介

教育经历

  1. 2020年01月-2023年03月

    中国工程物理研究院-北京计算科学研究中心，博士后，应用与计算数学部，导师：Martin Stynes

  2. 2018年09月-2019年09月

    Michigan State University，访问学者，专业：计算数学，导师：Mohsen Zayernouri

  3. 2014年09月-2019年12月

    华中科技大学，博士，专业：计算数学，导师：张诚坚

  4. 2010年09月-2014年07月

    河南大学，学士，专业：数学与应用数学

工作经历

  1. 2023年5月-至今

    青岛理工大学，理学院，副教授

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教学活动

授课信息

  1. 2024-2025-春季

    线性代数（机械与汽车工程学院，40学时）

  2. 2024-2025-秋季

    数值分析（数学与应用数学22级，64学时）；数值分析（信息与计算科学22级，56学时）；数值分析（工程力学22级，32学时）

  3. 2023-2024-春季

    偏微分方程（数学与应用数学21级，56学时）

  4. 2023-2024-秋季

    数值分析（数学与应用数学21级，64学时）；数值分析（信息与计算科学21级，56学时）

培养学生

  1. 2024-2025

    本科毕业论文指导学生：蔡隆博、王蕊、刘兰欣、赵修平、王兆淇、闫鹤祥

  2. 2023-2024

    本科毕业论文指导学生：陈杰、杨念、齐厚华、王梓源

获得荣誉

  1. 2024年12月

    山东省大学生数学竞赛本科组数学B类“三等奖”指导老师（学生：王帆）

  2. 2024年12月

    山东省大学生数学竞赛本科组数学B类“二等奖”指导老师（学生：许本源）

  3. 2024年6月

    青岛理工大学本科优秀毕业设计（论文）“校级二等奖”指导教师（学生：陈杰）

教研项目

  1. 青岛理工大学一流本科课程《数值分析》，团队成员：周永涛、高峰

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科研活动

科研项目

  1. 2025.01-2027.12

    山东省高等学校青年创新团队项目-科学计算与工程应用创新团队，团队成员：周永涛、徐伟、陈虎、张晓钰、王勇、蔡雨婷、于浩

  2. 2025.01-2027.12

    山东省自然科学基金青年项目（ZR2024QA173），主持

  3. 2022.01-2024.12

    国家自然科学基金青年项目（12101037），主持

  4. 2022.01-2025.12

    国家自然科学基金面上项目（12171025），第一参与人

  5. 2021.06-2023.03

    中国博士后科学基金第69批面上资助二等（2021M690322），主持

参加会议

  1. 2024年10月18日-10月20日

    华中科技大学学术交流，武汉，华中科技大学，邀请人：张诚坚教授

  2. 2024年7月8日-7月11日

    8th Conference on Numerical Methods for Fractional-derivative Problems，北京，计算科学研究中心

  3. 2024年4月19日-4月21日

    2024微分方程数值计算方法及其应用青年学术研讨会，湘潭，湘潭大学，报告题目：Second-order error analysis for fractional reaction-subdiffusion equations with nonsmooth solutions

出版专著

  1. 陈丽娟, 张蕾, 王丽莎, 李明珠, 周永涛, 徐伟. 计算方法. 北京: 机械工业出版社, 2024.10.

学术论文

(* 表示通讯作者)

  1. Yongtao Zhou, Hongyu Qin, Martin Stynes*. A second-order implicit-explicit (IMEX) method on graded meshes for nonlinear time-fractional reaction-subdiffusion problems. Calcolo, 62 (2025) 10. paper

  2. Yongtao Zhou, Wei Xu*. Second-order error analysis of a corrected average finite difference scheme for time-fractional Cable equations with nonsmooth solutions. Mathematics and Computers in Simulation, 226 (2024) 631-644. paper

  3. Yongtao Zhou, Hongyu Qin, Martin Stynes*. An ⍺-robust error analysis of the \overline{L1} scheme for time-fractional integro-differential initial-boundary value problems. Computers & Mathematics with Applications, 162 (2024) 196-205. paper

  4. Yongtao Zhou, Mingzhu Li*. Error estimate of a transformed L1 scheme for a multi-term time-fractional diffusion equation by using discrete comparison principle. Mathematics and Computers in Simulation, 217 (2024) 395-404. paper

  5. Wei Xu, Hui Liu, Lijuan Chen*, Yongtao Zhou. Ultrafast diffusion modeling via the Riemann–Liouville nonlocal structural derivative and its application in porous media. Fractal and Fractional, 8 (2024) 110. paper

  6. Yongtao Zhou, Cui Li, Martin Stynes*. A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. Numerical Algorithms, 95 (2024) 693-720. paper

  7. Mingzhu Li, Lijuan Chen*, Yongtao Zhou. Sinc collocation method to simulate the fractional partial integro-differential equation with a weakly singular kernel. Axioms, 12 (2023) 898. paper

  8. Diandian Huang, Xin Huang, Tingting Qin, Yongtao Zhou*. A transformed L1 Legendre-Galerkin spectral method for time fractional Fokker-Planck equations. Networks and Heterogeneous Media, 18 (2023) 799-812. paper

  9. Xinxin Su, Yongtao Zhou*. A fast high-order predictor-corrector method on graded meshes for solving fractional differential equations. Fractal and Fractional, 6 (2022) 516. paper

  10. Cui Li*, Yongtao Zhou. Block generalized Stormer-Cowell methods applied to second order nonlinear delay differential equations. Applied Numerical Mathematics, 178 (2022) 296-303. paper

  11. Yongtao Zhou, Martin Stynes*. Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels. Journal of Computational and Applied Mathematics, 401 (2022) 113747. paper

  12. Yongtao Zhou, Martin Stynes*. Optimal convergence rates in time-fractional discretisations: the L1, \overline{L1} and Alikhanov schemes. East Asian Journal on Applied Mathematics, 12 (2022) 503-520. paper

  13. Yongtao Zhou, Martin Stynes*. Block boundary value methods for linear weakly singular Volterra integro-differential equations. BIT Numerical Mathematics, 61 (2021) 691-720. paper

  14. Chengjian Zhang*, Yongtao Zhou. A preconditioned implicit difference scheme for semi-linear two-dimensional time-space fractional Fokker-Planck equations. Numerical Linear Algebra with Applications, 28 (2021) e2357. paper

  15. Yongtao Zhou, Chengjian Zhang*, Huiru Wang. Boundary value methods for Caputo fractional differential equations. Journal of Computational Mathematics, 39 (2021) 108-129. paper

  16. Jorge L Suzuki, Yongtao Zhou, Marta D’Elia, Mohsen Zayernouri*. A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials. Computer Methods in Applied Mechanics and Engineering, 373 (2021) 113494. paper

  17. Yongtao Zhou, Chengjian Zhang*, Luigi Brugnano. An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations. Computers & Mathematics with Applications, 80 (2020) 31-42. paper

  18. Yongtao Zhou, Chengjian Zhang*, Luigi Brugnano. Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Numerical Algorithms, 84 (2020) 633-649. paper

  19. Yongtao Zhou, Jorge L Suzuki, Chengjian Zhang, Mohsen Zayernouri*. Implicit-explicit time integration of nonlinear fractional differential equations. Applied Numerical Mathematics, 156 (2020) 555-583. paper

  20. Yongtao Zhou, Chengjian Zhang*. One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives. Applied Mathematics and Computation, 348 (2019) 594-608. paper

  21. Yongtao Zhou, Chengjian Zhang*. Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives. Applied Numerical Mathematics, 135 (2019) 367-380. paper

  22. Huiru Wang, Chengjian Zhang*, Yongtao Zhou. A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Applied Mathematics and Computation, 325 (2018) 69-81. paper