专业授课与教学成果

 

主要承担《数学模型》、《高等数学》、《高等数学(留学生)》、《线性代数》课程教学;

 

主要教学成果:

1. 指导长沙理工大学大学生参加2017年及2018年美国大学生数学建模竞赛,荣获H奖1项及3项。指导长沙理工大学生参加2017年及2019年高教社杯数学建模竞赛,荣获湖南省二等奖2项。

2. 被评为长沙理工大学2019-2020学年度“优秀教师”称号。

 

 

研究方向及研究团队

主要从事偏微分方程反问题学科领域科研工作;

 

 

科研成果

 

(一),发表文章

1. J. Li, Jiaqing Yang and B. Zhang, A linear sampling method for inverse acoustic scattering by a locally rough interface, Inverse Problems and Imaging15(2021), 1247-1267.

2. J. Li, T. Helin, and P. Li, Inverse random source problems for time-harmonic acoustic and elastic waves, Communications in Partial Differential Equations, 45(2020)1335-1380.

3. J. Li, Reverse time migration for inverse obstacle scattering with a generalized                         impedance boundary condition, Applicable Analysis, to appear.

4. J. Li and Peijun Li, Inverse elastic scattering for a random source, SIAM Journal on Mathematical Analysis, 51(2019), 4570-4603.

5. J. Li, Simultaneous recovery of an infinite rough surface and the impedance from near-field data, Inverse Problems in Science and Engineering, 27(2019), 17-36.  

6. M. Ding, J. Li, K. Liu and J. Yang. Imaging of local rough surfaces by the linear sampling   

   method with the near-field data. SIAM Journal on Imaging Sciences, 10(2017), 1579-1602.

7. J. Li, G. Sun and B. Zhang, The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces. Applicable Analysis , 96(2017), 85-107.

8. J. Li, G. Sun and R. Zhang. The numerical solution of scattering by infinite rough interfaces based on the integral equation method. Computers and Mathematics with Applications. 71(2016),1491-1502.

9. J. Li and G. Sun, A nonlinear integral equation method for the inverse scattering problem by sound-soft rough surfaces. Inverse Problems in Science and Engineering, 23(2015), 557-577.

 

(二),科研项目

1.国家自然科学基金面上项目,随机反散射问题的理论分析及数值计算,12171057,2022/01-2025/12,主持。

2.国家自然科学基金青年项目, 含掩埋物体的无穷曲面反散射问题的理论和数值方法研究, 11601042,2017/01-2019/12, 主持。

3.湖南省教育厅一般项目,未知分层介质中障碍反散射问题研究,16C0035,2017/01-2019/12,  主持。