戴萍飞

姓名：戴萍飞  

职称：副研究员   

邮箱：pfdai@hznu.edu.cn  

教学与课程：

本科课程：大学数学、程序设计

研究方向：

线性与非线性数值代数、线性与非线性预处理子的构造与分析、微分代数方程组的数值方法

学术研究：

1.Dai Pingfei, Wu Qingbiao*, Chen Minhong, Modified Newton-NSS method for solving systems of nonlinear equations [J]. Numerical Algorithms, 2018, 77(1):1-21.

2.Dai Pingfei, Wu Qingbiao*, Wu Yuxi, Liu Wenli, Modified Newton-PSS method to solve nonlinear equations [J]. Applied Mathematics Letters, 2018, 86:305-312.

3.Dai Pingfei, Wu Qingbiao*, Zhu Shengfeng, Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations [J]. Numerical Methods for Partial Differential Equations, 2019, 35(2):699-715.

4.Dai Pingfei, Wu Qingbiao*, Wang Hong*, Zheng Xiangcheng, An efficient matrix splitting preconditioning technique for two-dimensional unsteady space-fractional diffusion equations [J]. Journal of Computational and Applied Mathematics, 2020, 371, 112673.

5.Dai Pingfei, Wu Qingbiao*, An efficient block Gauss-Seidel iteration method for the space fractional coupled nonlinear Schrödinger equations [J]. Applied Mathematics Letters, 2021, 117, 107116.

6.Dai Pingfei, Jia Jinhong, Wang Hong*, Wu Qingbiao, Zheng Xiangcheng, An efficient positive-definite block-preconditioned finite volume solver for two-sided fractional diffusion equations on composite mesh [J]. Numerical Linear Algebra with Applications, 2021, e2372.

7.Lin Rongfei, Wu Qingbiao*, Chen Minhong, Liu Lu, Dai Pingfei, Semilocal convergence theorem for a Newton-like method [J]. East Asian Journal on Applied Mathematics, 2017, 7(3):482-494.

8.Xie Fang, Wu Qingbiao*, Dai Pingfei, Modified Newton-SHSS method for a class of systems of nonlinear equations [J]. Computational and Applied Mathematics, 2019, 38(1):19.

9.Jia Jinhong, Zheng Xiangcheng, Fu Hongfei, Dai Pingfei, Wang Hong*, A fast method for variable-order space-fractional diffusion equations [J]. Numerical Algorithms, 2020, 85:1519-1540.

  10. Yuanyuan Zhang, Qingbiao Wu, Pingfei Dai, King-NSS iteration method for solving a class of large sparse nonlinear systems. Journal of Applied Mathematics and Computing, 2021, https://doi.org/10.1007/s12190-021-01649-z.

主持及参与项目情况：(1) 国家自然科学基金委员会, 面上项目, 11871430, 数据处理中的迭代方法研究, 2019-01-01 至 2022- 12-31, 40万元, 在研, 参与； (2) 国家自然科学基金委员会, 面上项目, 11771393, 基于等几何分析的复合材料层合板非线性问题高效 算法研究, 2018-01-01 至 2021-12-31, 48万元, 在研, 参与；（3）浙江省自然科学基金委员会, 探索青年, LQ22A010007, 变阶分数阶扩散方程的高效预处理与迭代算法 研究, 2022-01 至 2024-12, 6万元, 在研, 主持