丁恒飞，男，汉族，1979年2月出生，甘肃天水人，中共党员，数学与统计学院副教授(2015.09校聘教授二级)。2008年7月毕业于兰州大学计算数学专业，获理学硕士学位。2010年入选天水师范学院“青蓝”人才工程。2014年7月毕业于上海大学计算数学专业，获理学博士学位。目前主要从事整数和分数阶微分方程的建模，分数阶导数和分数阶微分方程的高阶数值算法以及应用研究工作。主要讲授泛函分析、数值方法、高等数学、数学分析、偏微分方程数值解、MATLAB及中学数学与研究等课程。近年来，在《Journal of ComputationalPhysics》，《Applied Mathematics andComputation》,《Journal of Computationaland Applied Mathematics》，《Abstract and Applied Analysis》，《Computer & Mathematics with Applications》和《Applied MathematicsModeling》等SCI、EI收录国际期刊上发表学术论文20余篇。

 

一，部分论文：

[1]Hengfei Ding, Yuxin Zhang,Parameters spline methods for the solution of hyperbolic equations, AppliedMathematics and Computation, 2008.

[2] Guofeng Zhang, Yuxin Zhang, Hengfei Ding, New family of eighth-order methods for nonlinear equation, The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2009.

[3] Hengfei Ding, Yuxin Zhang, A newunconditionally stable compact difference scheme of O(tau^2+h^4) for the 1Dlinear hyperbolic equation, Applied Mathematics and Computation, 2009.  

 

[4] Hengfei Ding, Yuxin Zhang, Sanfu Wang,Xiaoya Yang, A note on some quadrature based three-step iterative methods fornon-linear equations, Applied Mathematics and Computation, 2009.

 

[5] Hengfei Ding, Yuxin Zhang, A new fourth-ordercompact finite difference scheme for the two-dimensional second-order hyperbolicequation, Journal of Computational and Applied Mathematics, 2009.

[6] Hengfei Ding, Yuxin Zhang, A newdifference scheme with high accuracy and absolute stability for solvingconvection–diffusion equations, Journal of Computational and AppliedMathematics, 2009.

[7] Hengfei Ding, Yuxin Zhang, A note onsome quadrature based three-step iterative methods for non-linear equations,Applied Mathematics and Computation, 2009.

 

[8] Hengfei Ding, Yuxin Zhang, Notes onImplicit finite difference approximation for time fractional diffusionequations, Computers, Mathematics with Applications,  2011.

 

[9] Hengfei Ding, Yuxin Zhang, Newnumerical methods for the Riesz space fractional partial differentialequations, Computers, Mathematics with Applications, 2012.  

[10] Hengfei Ding, Yuxin Zhang, JianxiongCao, Junhong Tian, A class of difference scheme for solving telegraph equationby new non-polynomial spline methods,  Applied Mathematical Computation，2012.  

 

[11]Hengfei Ding, Changpin Li,Two Kinds of Numerical Algorithms for the Diffusion-Wave Equation with ReactionTerm, Abstract and applied Analysis, 2013.

[12] Hengfei Ding, Changpin Li, Mixed SplineFunction Method for Reaction Subdiffusion Equations, Journal of ComputationalPhysics, 2013.

 

[13] Changpin Li, Hengfei Ding, HigherOrder Finite Difference Method for Reaction and Anomalous Diffusion Equation,Applied Mathematical Modelling,  2014.

 

[14] Yuxin Zhang, Hengfei Ding,Improved matrix transform method for the Riesz space fractional reactiondispersion equation, Journal of Computational and Applied Mathematics, 2014.

 

[15]Rifang Wu, Hengfei Ding,Changpin Li, Determination of Coefficients of High-Order Schemesfor Riemann-Liouville Derivative, The World Scienfic Journal, 2014.  

 

[16] Hengfei Ding,  Changpin Li,YangQuan Chen, High-order Algorithms for  Riesz Derivative and TheirApplication (I),  Abstract and applied Analysis, 2014.

 

[17] Yuxin Zhang, Hengfei Ding, JincaiLuo, Fourth-order Compact Difference Scheme For the Riemann-Liouvile and Riesz Derivative,Abstract and Applied Analysis, 2014.

 

[18] Hengfei Ding, Changpin Li, YangQuanChen, High-order Algorithms for  Riesz Derivative and Their Application(II), Journal of Computational Physics, 2015.

 

[19]Changpin Li, Rifang Wu, HengfeiDing, High-order approximation to Caputo derivatives and Caputo-typeadvection-diffusion equations, Communications in Applied and IndustrialMathematics, 2015.

 

[20] Hengfei Ding, Changpin Li, High-OrderCompact Difference Schemes for the

Modified Anomalous Subdiffusion Equation, NumericalMethods for Partial Differential Equations, 2015.

 

[21] Hengfei Ding, ChangpinLi, High-order Numerical Methods for Riesz Space FractionalTurbulent Diffusion Equation, http://arxiv.org/abs/1409.7464.

 

[22] Hengfei Ding, Changpin Li, High-order Compact Difference Schemes forRiesz Derivatives and the Riesz Spatial Telegraph Equation,http://arxiv.org/abs/1501.01350.

 

[23] Hengfei Ding, ChangpinLi, High-order numerical algorithms for Riesz derivatives viaconstructing new generating functions,http://arxiv.org/abs/1501.01350.

 

二，奖励：

[1] 主持的《整数和分数阶偏微分方程数值方法研究》获甘肃省高等学校科学技术进步奖三等奖，2010.

[2] 获博士生国家奖学金, 2013.

[3] 主持的《分数阶偏微分方程的建模和高阶数值算法研究》获甘肃省高等学校科学技术进步奖三等奖，2014.

[4]指导学生获得全国大学生数学建模竞赛甘肃赛区一等奖, 2014.

 

三，项目：

[1] 天水师范学院中青年教师科研项目，偏微分方程的高精度差分格式研究(TSA0928),2009/11-2011/11、0.30万元、已结题、主持.

[2] 天水师范学院‘青蓝’人才工程，整数及分数阶微分方程的数值方法研究、2010/01-2014/12、5万元、已结题、主持.

[3] 国家自然科学基金面上项目,分数阶动力系统的两个重要问题(11372170)、2014/01-2017/12、78万元、在研、参加.

[4] 天水师范学院中青年教师科研项目，分数阶微分方程的建模和高阶数值算法研究(TSA1405)，2015/01-2017/12、0.85万元、在研、主持.

[5]天水师范学院重点学科建设，动态图像中的大数据处理，2015/01-2018/12、30万元、在研、参加.

[6] 国家自然科学基金，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(11561060)，2016/01-2019/12, 31万元、在研、主持.