報告題目：Multi-index B-series
報 告 人：侯映彤博士，Université de Lorraine
報告時間：2024年5月16日 20:00-22:00
報告地點：Zoom Id: 904 645 6677，Password: 2024
校内聯系人：唐榮 tangrong@jlu.edu.cn
報告摘要：
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.
報告人簡介：
侯映彤，法國洛林大學博士。研究方向為微分方程的數值解法、Butcher-series、Rough path theory、随機偏微分方程、 Regularity structure。
