个人简介
2016/08-至今: 浙江大学,数学科学学院,研究员
2014/08-2016/07: 纽约大学,柯郎数学研究所,讲师
2013/08-2014/07: 纽约大学,柯朗数学研究所,博士后
2008/08-2013/07: 密西根州立大学,数学系,应用数学专业,博士
2004/09-2008/07: 南京大学,数学系,信息与计算科学专业,学士
教学与课程
本科生课程:
高等数学,教材: 文科高等数学, 孙方裕,陈志国主编
2.科学计算,教材: 计算方法引论, 徐萃薇,孙绳武 编著
研究生课程:
1.物理中的数学方法,教材: Linear Integral Equations, Rainer Kress
2.矩阵计算,教材:Matrix Computation, Gene H. Golub, Charles F. Van Loan
3.工程中的有限元方法
科研
主要方向是研究波动方程的快速算法,特别是利用积分方程理论研究Helmholtz方程和麦克斯韦方程的高阶快速数值解法,同时研究相关的应用,主要包括波在复杂结构的传播,电磁散射与反散射问题等。
部分基金项目如下:
三维麦克斯韦方程的高阶快速算法,11871427, 基金委面上项目, 2018/1-2022/12,主持
偏微分方程反问题的理论,计算与应用,11621101,基金委创新群体, 2017/1-2022/12,参与
波传播反问题的数学分析,计算方法及应用,91630309,基金委重大计划, 2017/1-2019/12,参与
其它
网上作业(Webwork):
网址:http://webwork.zju.edu.cn/webwork2
这是浙江大学高等数学课的网上作业系统,主要针对大学数学的内容,系统的特点是可以随机出题,同时可以即时批改,目前正在开发测试中。如果有本科生,或研究生想加入这个项目,请联系我。
近期论文
查看导师新发文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
(Carlos Borges, Jun Lai) Inverse scattering reconstruction of a three dimensional sound-soft axis-symmetric impenetrable object, Inverse Problems, 2020 (arXiv)
(Heping Dong, Jun Lai, Peijun Li) An inverse acoustic-elastic interaction problem with phased or phaseless far-field data, Inverse Problems, 2020 (arXiv)
(Jun Lai and Peijun Li) A framework for simulation of multiple elastic scattering in two-dimensions, SIAM Journal On Scientific Computing, 2019, (arXiv)
(Heping Dong, Jun Lai, Peijun Li) Inverse obstacle scattering problem for elastic waves with phased or phaseless far-field data, SIAM Journal on Imaging Sciences, 2019, (arXiv)
(Jun Lai, Michael O'Neil) An FFT-accelerated direct solver for electromagnetic scattering from penetrable axisymmetric objects, Journal of Computational Physics, 2019, (arXiv)
(Jun Lai, Ming Li, Peijun Li, Wei Li) A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers, Inverse Problems and Imaging, 2018 (arXiv)
(Jun Lai, Shidong Jiang) Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguides, Applied and Computational Harmonic Analysis, 2018, (arXiv)
(Jun Lai, Leslie Greengard, Michael O'Neil) Robust integral formulations for electromagnetic scattering from three-dimensional cavities, Journal of Computational Physics, 2017 (arXiv)
(Jun Lai, Leslie Greengard and Michael O'Neil) A new hybrid integral representation for frequency domain scattering in layered media scattering, Applied and Computational Harmonic Analysis, 2017. (arXiv)
(Shidong Jiang, Jun Lai) Quantitative study of the effect of cladding thickness on modal confinement loss in photonic waveguides, Optics Express, 2016 (arXiv)
(Jun Lai, Motoki Kobayashi and Alex Barnett) A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions. Journal of Computational Physics,2015 (arXiv)
(Jun Lai, Motoki Kobayashi and Leslie Greengard) A fast solver for multi-particle scattering in a layered medium, Optics Express, 2014 (arXiv)
(Jun Lai, Sivaram Ambikasaran, and Leslie F. Greengard) Fast direct solver for high frequency scattering from a large cavity in 2D, SIAM Journal On Scientific Computing, 2014 (arXiv)
(Gang Bao and Jun Lai) Radar cross section reduction of a cavity in the ground plane: TE polarization, Discrete and Continuous Dynamical Systems -Series S, 2014
(Gang Bao and Jun Lai) Optimal shape design of a cavity for RCS reduction, SIAM Journal On Control and Optimization, 2014
(Gang Bao, Jun Lai and Jianliang Qian) Multiscale Gaussian Beam Method for wave equation in the bounded domain, Journal of Computational Physics, 2014
(Gang Bao and Jun Lai) Radar cross section reduction of a cavity in the ground plane,Communications in computational physics, 2013