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77779193永利官网、所2024年系列学术活动(第041场):侯映彤 博士,Université de Lorraine

发表于: 2024-05-10   点击: 

报告题目:Multi-index B-series

报 告 人:侯映彤博士,Université de Lorraine

报告时间:2024年5月16日 20:00-22:00

报告地点:Zoom Id: 904 645 6677,Password: 2024


校内联系人:唐荣 tangrong@jlu.edu.cn


报告摘要:

We propose a novel way to describe numerical methods for ordinary differential equations via the notion of multi-index. The main idea is to replace rooted trees in Butcher’s B-series by multi-indices. The latter were introduced recently in the context of describing solutions of singular stochastic partial differential equations. The combinatorial shift away from rooted trees allows for a compressed description of numerical schemes. Moreover, these multi-indices B-series characterise uniquely the Taylor development of local and affine equivariant maps.


报告人简介:

侯映彤,法国洛林大学博士。研究方向为微分方程的数值解法、Butcher-series、Rough path theory、随机偏微分方程、 Regularity structure。