报告信息

Multiscale methods and analysis for the Dirac equation in the nonrelativistic limit regime

时间:2018-10-24 作者: 点击:
Title Multiscale methods and analysis for the Dirac equation in the nonrelativistic limit regime
Speaker 包维柱 教授
DateTime 2018年11月01日(周四)下午15:00-16:00
Place 六号楼二楼报告厅
Abstract   In this talk, I will review our recent works on numerical methods and analysis for solving the Dirac equation in the nonrelativistic limit regime, involving a small dimensionless parameter which is inversely proportional to the speed of light. In this regime, the solution is highly oscillating in time and the energy becomes unbounded and indefinite, which bring significant difficulty in analysis and heavy burden in numerical computation. We begin with four frequently used finite difference time domain (FDTD) methods and the time splitting Fourier pseudospectral (TSFP) method and obtain their rigorous error estimates in the nonrelativistic limit regime by paying particularly attention to how error bounds depend explicitly on mesh size and time step as well as the small parameter.
  This is a joint work with Yongyong Cai, Xiaowei Jia, Qinglin Tang and Jia Yin.
Brief Introduction to Speaker

  包维柱教授,学士,硕士和博士均毕业于清华大学。曾先后在清华大学、英国帝国理工学院及美国佐治亚理工学院任教、做博士后或访问学者。2001年起在新加坡国立大学工作,2009年晋升为教授, 之后担任数学系provost's讲座教授。包教授于1995年获清华大学林家翘应用数学一等奖,2003年与韩厚德教授等获北京市科技奖二等奖,2012年获新加坡国立大学理学院杰出科学家奖,2009年被SIAM Journal of Scientific computing杂志邀请任编委,2013年获得第十届“冯康科学计算奖”,2014年在第26届国际数学家大会上作45分钟邀请报告。

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