標(biāo)題：Random batch methods for interacting particle systems and molecular dynamics
報(bào)告時(shí)間：2024年3月26日（星期二）16:00-17:00
報(bào)告地點(diǎn)：人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院二樓會(huì)議室
主講人：金石
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
We first develop random batch methods for classical interacting particle systems with large number of particles. These methods use small but random batches for particle interactions, thus the computational cost is reduced from O(N^2) per time step to O(N), for a system with N particles with binary interactions. For one of the methods, we give a particle number independent error estimate under some special interactions.
This method is also extended to molecular dynamics with Coulomb interactions, in the framework of Ewald summation. We will show its superior performance compared to the current state-of-the-art methods (for example PPPM) for the corresponding problems, in the computational efficiency and parallelizability.
主講人簡(jiǎn)介：
金石，現(xiàn)為上海交通大學(xué)自然科學(xué)研究院院長(zhǎng)，數(shù)學(xué)學(xué)院講席教授。他同時(shí)擔(dān)任上海國(guó)家應(yīng)用數(shù)學(xué)中心聯(lián)合主任與上海交通大學(xué)重慶人工智能研究院院長(zhǎng)。他是美國(guó)數(shù)學(xué)會(huì)首批會(huì)士，美國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)會(huì)士，和2018年國(guó)際數(shù)學(xué)家大會(huì)邀請(qǐng)報(bào)告人，并于2021年當(dāng)選為歐洲人文與自然科學(xué)院(Academia Europaea)外籍院士與歐洲科學(xué)院(European Academy of Sciences)院士。他的研究方向包括科學(xué)計(jì)算，動(dòng)理學(xué)理論，多尺度計(jì)算，計(jì)算流體力學(xué)，不確定性量化，機(jī)器學(xué)習(xí)與量子計(jì)算等。
