亚洲成年一级|甜心烊烊是麻豆传媒的吗|爱豆传媒凌萱是谁扮演的|91制片厂美凉子|萝莉社app链接|麻豆映画影视传媒网址|久久亚洲综合国产精品99麻豆精品福利|天美麻豆星空传媒|嘉尚传媒旗下爱豆有谁|91大神精品一区,亚洲成年激情,国产福利免费网,国产传媒91麻豆

報告題目：An efficient compact splitting Fourier spectral method for computing the dynamics of rotating spin-orbit coupled spin-1 Bose-Einstein condensates

主講人：張勇教授（天津大學(xué)）

時間：2025年3月5日（周三）15:00 p.m.

地點：北院卓遠(yuǎn)樓305會議室

主辦單位：統(tǒng)計與數(shù)學(xué)學(xué)院

摘要：This talk focuses on the dynamic simulation of spin-1 Bose-Einstein condensates (BECs) with rotation and spin-orbit coupling (SOC), and presents a high-order compact splitting Fourier spectral method with favorable numerical properties. The Hamiltonian is split into a linear part, which consists of the Laplace, rotation and SOC terms, and a nonlinear part that includes all the remaining terms. The wave function is well approximated by the Fourier spectral method and is numerically accessed with discrete Fast Fourier transform (FFT). For the linear subproblem, we rotate the wave function by a function-rotation mapping, which is realized easily with purely FFT achieving almost optimal efficiency. The rotation term vanishes, but the SOC term becomes time-dependent. Using a time-dependent matrix decomposition and the function- rotation mapping, we can integrate the linear subproblem exactly and explicitly. The nonlinear subproblem is integrated analytically in physical space. Such “compact” splitting involves only two operators and facilitates the design of high-order splitting schemes. Our method is spectrally accurate in space and high order in time. It is efficient, explicit, unconditionally stable and simple to implement. In addition, we derive some dynamical properties and carry out a systematic study, including accuracy and efficiency tests, dynamical property verification, the SOC effects and dynamics of quantized vortices.

主講人簡介：

張勇,，天津大學(xué)教授，2012年在清華大學(xué)獲得博士學(xué)位,，曾先后在奧地利維也納大學(xué),，法國雷恩一大和美國紐約大學(xué)克朗所從事博士后研究工作,。2015年7月獲得奧地利自然科學(xué)基金委支持的薛定諤基金，2018年入選國家高層次人才計劃,。研究興趣主要是偏微分方程的數(shù)值計算和分析工作,，尤其是快速算法的設(shè)計和應(yīng)用。迄今發(fā)表論文20余篇,，主要發(fā)表在包括SIAM Journal on Scientific Computing, Mathematics of Computation, Journal of Computational Physics, Computer Physics Communication等計算數(shù)學(xué)權(quán)威雜志,。