卜玮平导师主页
基本信息
姓名: 卜玮平
职称: 副教授
单位电话: 0731-58292194
电子信箱: weipingbu@lsec.cc.ac.cn
办公室:
个人主页:
个人简介



卜玮平,湖南益阳人。2015年7月毕业于中国科学院数学与系统科学研究院,获理学博士学位。

研究方向



分数阶微分方程数值解法及其应用


特别欢迎理论分析功底强的同学加入我们的研究团队!

获奖情况

2020年获“2019年度湖南省自然科学二等奖(排名第三)”


2019年4月获“湖南省计算数学应用软件学会第三届一等青年优秀论文奖”


2017年10月获“中国仿真学会论文优秀奖”


2017年8月获“中国仿真学会算法专业委员会青年优秀论文一等奖”


2015年获“中国科学院院长优秀奖”


2014年获“中国科学院数学与系统科学研究院院长特等奖”



科研项目

2019.9.1-2022.12.31, 湖南省教育厅科学研究项目(青年项目): (主持)


2018.1.1-2020.12.31, 湖南省自然科学基金青年项目:二维空间分数阶扩散方程的自适应有限元方法(主持)


2017.1.1-2019.12.31, 国家自然科学基金青年基金: 非规则二维区域上空间分数阶扩散方程的有限元方法(主持)


2016.9.1-2018.12.31, 湖南省教育厅科学研究项目(一般项目):分数阶扩散方程的有限元高效算法(主持)


主要代表性论文


2021年


Bu, W., Zhao, Y., & Shen, C. (2021). Fast and efficient finite difference/finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equation. Applied Mathematics and Computation, 398, 125985.


Yue, X., Liu, M., Shu, S., Bu, W., & Xu, Y. (2021). Spacetime finite element adaptive AMG for multiterm time fractional advection diffusion equations. Mathematical Methods in the Applied Sciences, 44, 2769–2789.


Wang, J., Xiao, A., & Bu, W. (2021). Spectral collocation method for a class of fractional diffusion differential equations with nonsmooth solutions. Mathematical Methods in the Applied Sciences. 44, 2892-2913.


2020年


Yue Zhao, Chen Shen, Min Qu, Weiping Bu and Yifa Tang, Finite element methods for fractional diffusion equations, International Journal of Modeling, Simulation, and Scientific Computing, VOL. 11, NO. 04, (2020)  2030001.


Cao, J., Xiao, A., & Bu, W. (2020). Finite Difference/Finite Element Method for Tempered Time Fractional Advection–Dispersion Equation with Fast Evaluation of Caputo Derivative. Journal of Scientific Computing, 83, 48.


Bu, W., Ji, L., Tang, Y., & Zhou, J. (2020). Space-time finite element method for the distributed-order time fractional reaction diffusion equations. Applied Numerical Mathematics, 152, 446-465.


Zeng, W., Xiao, A., Bu, W., Wang, J., & Li, S. (2020). A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 10(1), 89-105.


Zhang, Y., Cao, J., Bu, W., & Xiao, A. (2020). A fast finite difference/finite element method for the two-dimensional distributed-order time-space fractional reaction–diffusion equation. International Journal of Modeling, Simulation, and Scientific Computing, 2050016.


彭捷, 代新杰, 肖爱国, 卜玮平.(2020). 中立型随机延迟微分方程分裂步θ方法的强收敛性. 计算数学. 42 (1): 18-38


2019年

Dai, X., Bu, W., & Xiao, A. (2019). Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Journal of Computational and Applied Mathematics, 356, 377-390.


Bu, W., & Xiao, A. (2019). An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. Numerical Algorithms, 81(2), 529-545.


Bu, W., Shu, S., Yue, X., Xiao, A., & Zeng, W. (2019). Space–time finite element method for the multi-term time–space fractional diffusion equation on a two-dimensional domain. Computers & Mathematics with Applications, 78(5), 1367-1379.


Yue, X., Shu, S., Xu, X., Bu, W., & Pan, K. (2019). Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations. Computers & Mathematics with Applications, 78(11), 3471-3484.


卜玮平. (2019). 非结构网格下 2D Riesz 分数阶方程的 Galerkin 有限元方法. 纯粹数学与应用数学, (2019 年 02), 169-181.


2018年

Yue, X., Bu, W., Shu, S., Liu, M., & Wang, S. (2018). Fully finite element adaptive AMG method for time-space Caputo-Riesz fractional diffusion equations. Adv. Appl. Math. Mech, 10(5), 1103-1125.


2017年

Zhao, Y., Chen, P., Bu, W., Liu, X., & Tang, Y. (2017). Two mixed finite element methods for time-fractional diffusion equations. Journal of Scientific Computing, 70(1), 407-428.


Bu, W., Xiao, A., & Zeng, W. (2017). Finite difference/finite element methods for distributed-order time fractional diffusion equations. Journal of Scientific Computing, 72(1), 422-441.


Arshad, S., Baleanu, D., Bu, W., & Tang, Y. (2017). Effects of HIV infection on CD4+ T-cell population based on a fractional-order model. Advances in Difference Equations, 2017(1), 92.


Arshad, S., Bu, W., Huang, J., Tang, Y., & Zhao, Y. (2018). Finite difference method for time–space linear and nonlinear fractional diffusion equations. International Journal of Computer Mathematics, 95(1), 202-217.


Zhao, Y., Bu, W., Zhao, X., & Tang, Y. (2017). Galerkin finite element method for two-dimensional space and time fractional Bloch–Torrey equation. Journal of Computational Physics, 350, 117-135.


2015年

Yang, J. Y., Zhao, Y. M., Liu, N., Bu, W. P., Xu, T. L., & Tang, Y. F. (2015). An implicit MLS meshless method for 2-D time dependent fractional diffusion–wave equation. Applied Mathematical Modelling, 39(3-4), 1229-1240.


Bu, W., Tang, Y., Wu, Y., & Yang, J. (2015). Crank–Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh–Nagumo monodomain model. Applied Mathematics and Computation, 257, 355-364.


Zhao, Y., Bu, W., Huang, J., Liu, D. Y., & Tang, Y. (2015). Finite element method for two-dimensional space-fractional advection–dispersion equations. Applied Mathematics and Computation, 257, 553-565.


Bu, W., Tang, Y., Wu, Y., & Yang, J. (2015). Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations. Journal of Computational Physics, 293, 264-279.


Bu, W., Liu, X., Tang, Y., & Yang, J. (2015). Finite element multigrid method for multi-term time fractional advection diffusion equations. International Journal of Modeling, Simulation, and Scientific Computing, 6(01), 1540001.


2014年

Bu, W., Tang, Y., & Yang, J. (2014). Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations. Journal of Computational Physics, 276, 26-38.


2012年

Bu, Weiping, Aiguo Xiao, and Yifa Tang. "Finite Difference Methods for Space Fractional Advection-Diffusion Equations with Variable Coefficients." International Computer Science Conference. Springer, Berlin, Heidelberg, 2012.


学术交流


2018年至今多次参加国内国际学术会议,多次访问国内各高校、科研院所


2017年8月至2017年8月中国科学院计算数学所访问


2017年3月至2017年4月美国Brown大学访问


2016年8月至2017年8月北京计算科学研究中心博士后


2016年7月至2016年8月中国科学院计算数学所访问


2015年1月于新加坡参加The 9th International Conference on Computational Physics并做报告;

 

2014年6月于意大利参加International Conference on “Fractional Differentiation and Its Applications”, ICFDA ’14并作报告。