反常动力学模型的数值算法及分析

2021年6月博士毕业于兰州大学数学与统计学院，导师为邓伟华教授；2021年6月至2023年8月于兰州大学物理学流动站从事博士后研究工作，合作导师为刘玉孝教授。

1. Sun J., Nie D.X., Deng W.H., An efficient numerical algorithm for the model describing the competition between super- and sub-diffusions driven by fractional Brownian sheet noise. Journal of Scientific Computing, 2023, 96(1):10.
2. Sun J., Deng W.H., Nie D.X., Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion. Journal of Scientific Computing, 2022, 91(2):34.
3. Nie D.X., Sun J., Deng W.H., Strong convergence order for the scheme of fractional diffusion equation driven by fractional Gaussian noise. SIAM Journal on Numerical Analysis, 2022, 60(4):1879-1904.
4. Sun J., Deng W.H., Nie D.X., Finite difference method for inhomogeneous fractional Dirichlet problem. Numerical Mathematics: Theory, Methods and Applications, 2022, 15(3):744-767.
5. Sun J., Nie D.X., Deng W.H., Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian. BIT Numerical Mathematics, 2021, 61(4):1421-1452.
6. Sun J., Nie D.X., Deng W.H., High-order BDF fully discrete scheme for backward fractional Feynman-Kac equation with nonsmooth data. Applied Numerical Mathematics, 2021, 161:82-100.
7. Sun J., Nie D.X., Deng W.H., Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data. Journal of Scientific Computing, 2020, 84(1):6.
8. Nie D.X., Sun J., Deng W.H., Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states. Numerische Mathematik, 2020, 146(3):481-511.
9. Sun J., Nie D.X., Deng W.H., Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative. Applied Numerical Mathematics, 2019, 145:384-410.

主持一项国家自然科学基金青年项目和一项甘肃省青年科技基金。