主講人：陳升 北京師范大學(xué)副教授

時(shí)間：2023年3月15日16：00

地點(diǎn)：三號(hào)樓301

舉辦單位：數(shù)理學(xué)院

主講人介紹：陳升博士，副教授。于2017年畢業(yè)于廈門(mén)大學(xué)計(jì)算數(shù)學(xué)專(zhuān)業(yè)，主要從事譜方法及其對(duì)奇性問(wèn)題應(yīng)用的研究，其博士論文獲福建省優(yōu)秀博士學(xué)位論文；2017年畢業(yè)后入職江蘇師范大學(xué)。2018年獲國(guó)家創(chuàng)新博士后創(chuàng)新計(jì)劃資助加入北京計(jì)算科學(xué)研究中心開(kāi)展博士后工作；2021年8月入職北京師范大學(xué)-自然科學(xué)高等研究院-數(shù)學(xué)研究中心。

內(nèi)容介紹：We construct two new classes of log orthogonal functions in semi-infinite intervals, log orthogonal functions (LOFs-II) and generalized log orthogonal functions (GLOFs-II), by applying a suitable log mapping to Laguerre polynomials. We develop basic approximation theory for these new orthogonal functions, and show that they can provide uniformly good exponential convergence rates for problems in semi-infinite intervals with slow decay at infinity. We apply them to solve several linear and nonlinear differential equations whose solutions decay algebraically or exponentially with very slow rates, and present ample numerical results to show the effectiveness of the approximations by LOFs-II and GLOFs-II.