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【6月26日】Nested Picard Integrators for the Dirac equation in the nonrelativistic limit

】【打印】【关闭窗口 来源:本站原创 作者:统计与数学学院 编辑:王凝 发布时间:2019-06-17

      报告题目:Nested Picard Integrators for the Dirac equation in the nonrelativistic limit
      主讲人:
蔡勇勇(北京计算科学研究中心)
      时间:2019年6月26日(周三)11:20 a.m.
      地点:北院卓远楼305
      主办单位:统计与数学学院

      摘要:We present the construction and analysis of uniformly accurate nested Picard iterative integrators (NPI) for the Dirac equation in the nonrelativistic limit involving a dimensionless parameter inversely proportional to the speed of light. To overcome the difficulty induced by the rapid temporal oscillation, we present the construction of several NPI methods which are uniformly first-, second- and third-order convergent in time. The NPI method can be extended to arbitrary higher order in time with optimal and uniform accuracy. The implementation of the second order NPI method will be demonstrated and analyzed.

      主讲人简介:
      蔡勇勇,北京计算科学研究中心,在北京大学获得学士、硕士学位,在新加坡国立大学获得博士学位,国家“青年千人计划”入选者。在数值分析与科学计算、多相流数值计算方法等研究领域取得了许多创造性成果,在SIAM J. on Applied Math.,SIAM J. Numer. Anal.,J. Comput. Phys. ,Phys. Rev. A,Math. Comp.等顶尖学术期刊发表论文20余篇。