李金简介

发布者:理学院发布时间:2017-11-13浏览次数:2322

 

一、基本情况

李金,男,198011月生,山东莒县人。博士,教授,硕士生导师。毕业于中国科学院数学与系统科学研究院;主要从事边界元理论及其数值解、超奇异积分近似计算、奇异积分方程数值解的研究在国内外重要期刊上发表论文30余篇,主持国家自然科学基金课题2(面上项目1项、青年基金1项)博士后基金21项,山东省自然科学基金项目2项(省属优青1项,青年基金1项),参与国家课题2项,到位经费100万元;获得山东高等学校优秀科研成果奖励4项。


、科研项目

1.主持国家自然科学基金项目《基于超收敛点配置边界元理论及数值解的研究

2.主持国家自然科学基金项目《边界元中超奇异积分高精度算法的研究及应用》

3.主持中国博士后基金项目《奇异积分的近似计算与奇异积分方程的数值解

4.主持中国博士后基金特别资助项目《二维超奇异积分方程理论及其应用》

5.主持山东省自然科学项目《边界元方法中奇异积分高精度算法的理论及应用》

6.参与国家自然科学基金项目《无界区域问题基于有限体积格式的DtN 型区域分解方法》

7.参与国家自然科学基金培育项目《非达西渗流实用高效数值方法及致密气藏数值计算》

三、代表性论著

1.Jin Li, Jiming Wu, Dehao Yu. Generalized extrapolation for computation of hypersingular integrals in boundary element methods. CMES, vol.42, no.2, 151--175, 2009

2.Jin Li, Xiaoping Zhang, Dehao Yu. Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals. J. Comput. Appl. Math. vol. 2010,233(11)2841--2854

3.Jin Li, Dehao Yu. The Superconvergence of Certain Two-Dimensional Cauchy Principal Value Integrals. CMES, vol.71, no.4, 331--346, 2011

4.Jin Li, Dehao Yu. The Superconvergence of Certain Two-Dimensional Hilbert singular Integrals. CMES, vol.82, no.4, 233--252, 2011

5.Jin Li, Xiaoping Zhang, Dehao Yu. Extrapolation Methods to Compute Hypersingular Integral in Boundary Element Methods. Science China Mathematics  2013 Vol. 56 No. 8: 1647–1660

6.Jin Li, De-hao Yu, Error Expansion of Classical Trapezoidal Rule for Computing Cauchy Principal Value Integral,CMES, vol.93, no.1, pp.47-67, 2013

7.Jin Li, Ju’e Yang, Dehao Yu, .  International Journal of Computer Mathematics, 2014,91:10, 2294-2306

8.Jin Li, Hongxing Rui, Dehao Yu, Composite Simpson's rule for Computing supersingular integral on circle, CMES: Computer Modeling in Engineering & Sciences, Vol. 97, No. 6, pp. 463-482, 2014

9.Jin Li, Dehao Yu,Collocation Methods to Solve Certain Hilbert Integral Equation with Middle Rectangle Rule,CMES: Computer Modeling in Engineering & Sciences, Vol. 102, No. 2, pp. 103-126, 2014

10.Jin Li, Hongxing Rui, Dehao Yu.Trapezoidal rule for Computing supersingular integral on circle.J. Sci. Comput.2016.66(2), 740-760.

11.Jin Li, Qingli Zhao,Hongying Huang,Error Expansion of Piecewise Constant Interpolation Rule for CertainTwo-Dimensional Cauchy Principal Value Integrals Computers & Mathematics with Applications72 :9(2016) pp. 2119-2142

12.Jin Li, Dehao Yu. A rectangle rule for the computation of hypersingular integral. IOP Conf. Series: Materials Science and Engineering 10 (2010) 012115 doi: 10 012115

13.Jin Li,DehaoYu.Extrapolation methods for computing Hadamard finite-part integral on  interval. CDEE 2010,44--48

14.Jin Li, Dehao Yu. Numerical methods to compute hypersingular integral in boundary element methods (in Chinese).Sci Sin Math, 2015, 45: 857-872

、联系方式

        E-maillijin@lsec.cc.ac.cn或者jxlijin@sdjzu.edu.cn