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陈虎
发布者: 崔琪
发布时间:2020-10-27
浏览次数:1492

姓名:陈虎

职称:副教授(硕士生导师)

邮箱:chenhu@ouc.edu.cn

办公室:数学楼506

研究方向:偏微分方程数值解

主讲课程

高等数学数学物理方法

学习与工作经历

2019.08 - 至今  中国海洋大学永利总站ylzz55|首頁|欢迎您 副教授

2017.08 - 2019.08  北京计算科学研究中心  博士后

2011.09 - 2017.07  北京航空航天大学应用数学 博士

2007.09 - 2011.07  山东科技大学 数学与应用数学 学士

科研项目

【1】201909-202112月,带弱奇异解的分数阶初边值问题数值方法的误差分析,中国海洋大学青年英才工程科研启动经费(主持),在研

【2】201901-202112月,无界域上分数阶和非局部扩散方程的高精度数值方法研究,国家自然科学基金青年科学基金(主持),在研

【3】201805-201908月,无界域上分数阶扩散方程的高精度数值方法研究,中国博士后科学基金第63批面上资助(主持),已结题

发表文章及论著

  1. Yue Wang, Hu Chen, Tao Sun, $\alpha$-robust $H^1$-norm  convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation, Applied Numerical Mathematics, (2021) (in press).

  2. Hu Chen,  Martin Stynes, Blow-up of error estimates in time-fractional initial-boundary value problems, IMA Journal of Numerical Analysis, 41(2021) 974-997.

  3. Hu Chen,  Martin Stynes, A discrete comparison principle for the time-fractional diffusion equation, Computers and Mathematics with Applications, 80 (2020) 917-922.

  4. Hu Chen, Finbarr Holland, Martin Stynes, An analysis of the Grünwald–Letnikov scheme forinitial-value problems with weakly singular solutions, Applied Numerical Mathematics, 139 (2019) 52-61.

  5. Hu Chen, Martin StynesError analysis of a second-order method on fitted meshes for a time-fractional diffusion problem, Journal of Scientific Computing,  79(1)(2019)  624-647.

  6. Hu Chen, Xiaohan Hu, Jincheng Ren, Tao Sun, Yifa TangL1 scheme on graded mesh for the linearized time fractional KdV equation with initial singularity, InternationalJournal of Modeling, Simulation, and Scientific Computing, 10(2019) 1941006

  7. Hu Chen, Martin StynesA high order method on graded meshes for a time-fractional diffusion problem. In: Finite Difference Methods: Theory and Applications. Proceedings FDM:T&A 2018. Lecture Notes in Computer Science, vol. 11386, pp. 15–27. Springer, Cham.

  8. Hu Chen, Tao SunA Petrov–Galerkin spectral method for the linearized time fractional KdV equation, International Journal of Computer Mathematics, 95 (2018) 1292-1307.

  9. Hu Chen, Shujuan Lü, Wenping ChenA unified numerical scheme for the multi-termtime fractional diffusion and diffusion-wave equations with variable coeffiecients,Journal of Computational and Applied Mathematics, 330 (2018) 380-397.

  10. Hu Chen, Shujuan Lü, Wenping ChenA fully discrete spectral method for the nonlinear time fractional Klein-Gordon equation, Taiwanese Journal of Mathematics, 21 (2017) 231-251.

  11. Hu Chen, Shujuan Lü, Wenping Chen, Finite difference/spectral approximations for the distributed order time fractional reaction–diffusion equation on an unbounded domain, Journal of Computational Physics, 315 (2016) 84-97.

  12. Hu Chen, Shujuan Lü, Wenping Chen, Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain, Journal of Computational and Applied Mathematics, 304 (2016) 43-56.

  13. Hu Chen, Shujuan Lü, Wenping Chen, Spectral methods for the time fractional diffusion–wave equation in a semi-infinite channel, Computers and Mathematics with Applications, 71 (2016) 1818-1830.



永利总站ylzz55|首頁|欢迎您

姓            名:

陈虎

职            称:

邮            箱:

办     公     室:

办 公 室 电 话:

研  究  方  向:

姓名:陈虎

职称:副教授(硕士生导师)

邮箱:chenhu@ouc.edu.cn

办公室:数学楼506

研究方向:偏微分方程数值解

主讲课程

高等数学数学物理方法

学习与工作经历

2019.08 - 至今  中国海洋大学永利总站ylzz55|首頁|欢迎您 副教授

2017.08 - 2019.08  北京计算科学研究中心  博士后

2011.09 - 2017.07  北京航空航天大学应用数学 博士

2007.09 - 2011.07  山东科技大学 数学与应用数学 学士

科研项目

【1】201909-202112月,带弱奇异解的分数阶初边值问题数值方法的误差分析,中国海洋大学青年英才工程科研启动经费(主持),在研

【2】201901-202112月,无界域上分数阶和非局部扩散方程的高精度数值方法研究,国家自然科学基金青年科学基金(主持),在研

【3】201805-201908月,无界域上分数阶扩散方程的高精度数值方法研究,中国博士后科学基金第63批面上资助(主持),已结题

发表文章及论著

  1. Yue Wang, Hu Chen, Tao Sun, $\alpha$-robust $H^1$-norm  convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation, Applied Numerical Mathematics, (2021) (in press).

  2. Hu Chen,  Martin Stynes, Blow-up of error estimates in time-fractional initial-boundary value problems, IMA Journal of Numerical Analysis, 41(2021) 974-997.

  3. Hu Chen,  Martin Stynes, A discrete comparison principle for the time-fractional diffusion equation, Computers and Mathematics with Applications, 80 (2020) 917-922.

  4. Hu Chen, Finbarr Holland, Martin Stynes, An analysis of the Grünwald–Letnikov scheme forinitial-value problems with weakly singular solutions, Applied Numerical Mathematics, 139 (2019) 52-61.

  5. Hu Chen, Martin StynesError analysis of a second-order method on fitted meshes for a time-fractional diffusion problem, Journal of Scientific Computing,  79(1)(2019)  624-647.

  6. Hu Chen, Xiaohan Hu, Jincheng Ren, Tao Sun, Yifa TangL1 scheme on graded mesh for the linearized time fractional KdV equation with initial singularity, InternationalJournal of Modeling, Simulation, and Scientific Computing, 10(2019) 1941006

  7. Hu Chen, Martin StynesA high order method on graded meshes for a time-fractional diffusion problem. In: Finite Difference Methods: Theory and Applications. Proceedings FDM:T&A 2018. Lecture Notes in Computer Science, vol. 11386, pp. 15–27. Springer, Cham.

  8. Hu Chen, Tao SunA Petrov–Galerkin spectral method for the linearized time fractional KdV equation, International Journal of Computer Mathematics, 95 (2018) 1292-1307.

  9. Hu Chen, Shujuan Lü, Wenping ChenA unified numerical scheme for the multi-termtime fractional diffusion and diffusion-wave equations with variable coeffiecients,Journal of Computational and Applied Mathematics, 330 (2018) 380-397.

  10. Hu Chen, Shujuan Lü, Wenping ChenA fully discrete spectral method for the nonlinear time fractional Klein-Gordon equation, Taiwanese Journal of Mathematics, 21 (2017) 231-251.

  11. Hu Chen, Shujuan Lü, Wenping Chen, Finite difference/spectral approximations for the distributed order time fractional reaction–diffusion equation on an unbounded domain, Journal of Computational Physics, 315 (2016) 84-97.

  12. Hu Chen, Shujuan Lü, Wenping Chen, Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain, Journal of Computational and Applied Mathematics, 304 (2016) 43-56.

  13. Hu Chen, Shujuan Lü, Wenping Chen, Spectral methods for the time fractional diffusion–wave equation in a semi-infinite channel, Computers and Mathematics with Applications, 71 (2016) 1818-1830.



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