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丁恒飞

博士、教授, bat365在线官网登录A类漓江学者

分数阶微分方程建模，分数阶导数及其分数阶微分方程的高阶快速算法研究

1. 本科生：《数学分析》、《计算方法》、《偏微分方程数值解》、《概率论与数理统计》、《数值分析》

1. 国家自然科学基金项目（主持）

[2] NO.11961057、分数阶导数的基于新的生成函数方法的高阶数值逼近及其应用研究、2020/01-2023/12、48万元、 在研

[1] NO.11561060、反常扩散方程的高阶数值算法及其在天水地下水质研究中的应用、2016/01-2019/12、36.88万元、已结题

2. 省级自然科学基金项目（主持）

[1] No.17JR5RE009、黄河兰州段泥沙输运的分数阶动力学方程建模及其高阶算法研究、2017/08-2019/08、4万元、 已结题

1. 学术论文（第一作者)

[17] H.F. Ding, J.H. Tian, Structure preserving fourth-order difference scheme for the nonlinear spatial fractional Schrödinger equation in two dimensions, Math. Comput. Simulat. 205 (2023), 1–18. (SCI)

[16] H.F. Ding, Y. Qian, The construction of higher-order numerical approximation formula for Riesz derivative and its application to nonlinear fractional differential equations (I), Commun. Nonlinear Sci. 110 (2022), 106394. (SCI)

[15] H.F. Ding, The development of higher-order numerical differential formulas of Caputo derivative and their applications (I). Comput. Math. Appl. 84 (2021), 203-223. (SCI)

[14] H.F. Ding, C.P. Li, High-order algorithms for Riesz derivative and their applications (IV)，Fract. Calc. Appl. Anal. 22 (2019), 1537-1560. (SCI)

[13] H.F. Ding, C.P. Li, Numerical algorithms for the time-Caputo and space-Riesz fractional Bloch-Torrey equations, Numer. Meth. Part. D. E. 33 (2020), 1754-1794. (SCI)

[12] H.F. Ding, A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation, Appl. Numer. Math. 135 (2019), 30-46. (SCI)

[11] H.F. Ding, C.P. Li, A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions, J. Sci. Comput, 80 (2019), 81-109. (SCI)

[10] H.F. Ding, C.P. Li, High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: Construction and application (II), Appl. Math. Lett. 86 (2018), 208-214. (SCI)

[9] H.F. Ding, C.P. Li, Q. Yi, A new second-order midpoint approximation formula for Riemann-Liouville derivative: algorithm and its application，IMA J. Appl. Math. 82 (2017), 909-944. (SCI)

[8] H.F. Ding, C.P. Li, High-order numerical algorithms for Riesz derivatives via constructing new generating functions, J. Sci. Comput. 71 (2017), 759-784. (SCI)

[7] H.F. Ding, C.P. Li, Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations, Fract. Calc. Appl. Anal.  20 (2017), 722-764. (SCI)

[6] H.F. Ding, C.P. Li, High-order algorithms for Riesz derivative and their applications (V), Numer. Meth. Part. D. E. 33 (2017)，1754-1794. (SCI)

[5] H.F. Ding, C.P. Li, High-order algorithms for Riesz derivative and their applications (III), Fract. Calc. Appl. Anal. 19 (2016), 19-55. (SCI)

[4] H.F. Ding, C.P. Li, High-order compact difference schemes for the modified anomalous subdiffusion equation, Numer. Meth. Part. D. E. 32 (2016), 213-242. (SCI)

[3] H.F. Ding, General Padé approximation method for time-space fractional diffusion equation, J. Comput. Appl. Math. 299 (2016), 221-228. ( SCI)

[2] H.F. Ding, C.P. Li, Y.Q. Chen, High-order algorithms for Riesz derivative and their applications (II), J. Comput. Phys. 293 (2015), 218-237. (SCI)

[1] H.F. Ding, C.P. Li, Mixed spline function method for reaction-subdiffusion equations, J. Comput. Phys. 242 (2013), 103-123. (SCI)

2. 教材专著

[2] H.F. Ding, C.P. Li, High-order finite difference methods for fractional partial differential equations, Handbook of Fractional Calculus with Applications. Volume 3: Numerical Methods, Chapter 3. Berlin, Boston: De Gruyter, 2019.  (专著一章)

[1] 丁恒飞, 王丙参, 田俊红,  Matlab与大学数学实验, 科学出版社, 2017.

[3] 2022年，天水“最美科技工作者”

[2] 2021年，天水市“园丁奖”优秀教师

[1] 2017年，甘肃省普通高等学校青年教师成才奖

[4]《中国理论数学前沿》编委

[3] SCI期刊《Fractal and Fractional》特刊“Fractional Dynamics 2021”Guest Editor

[2] SCI期刊《Mathematics and Computers in Simulation》编委

[1] 美国《数学评论》(Mathematical Reviews) 评论员