應(yīng)yl7703永利官網(wǎng)邀請，西安交通大學(xué)馮悅教授將于2024年8月16-19日訪問蘭州大學(xué)，期間舉辦專題學(xué)術(shù)報告，歡迎全校師生參加。

報告題目: Improved uniform error bounds on time-splitting methods for long-time dynamics of dispersive PDEs

報告摘要：In this talk, I begin with the nonlinear Klein-Gordon equation (NKGE) with weak nonlinearity, which is characterized by ε^2 with ε∈(0,1] a dimensionless parameter. Different numerical methods are applied to discretize the NKGE including finite difference methods, exponential wave integrators and time-splitting methods. Especially, we discretize the NKGE by the second-order time-splitting method in time and combine with the Fourier spectral method in space. By introducing a new technique—Regularity Compensation Oscillation (RCO) which controls the high frequency modes by the regularity of the exact solution and analyzes the low frequency modes by phase cancellation and energy method, we carry out the improved uniform error bounds for the time-splitting methods. The results have been extended to other dispersive PDEs including the (nonlinear) Schrodinger equation and Dirac equation.

時 間：2024年8月18日（星期日）10：20.

地 點：理工樓631

歡迎廣大師生光臨!

報告人簡介

馮悅，西安交通大學(xué)yl7703永利官網(wǎng)教授，博士生導(dǎo)師。馮悅博士于2014年和2017年在浙江大學(xué)取得學(xué)士和碩士學(xué)位，于2020年在新加坡國立大學(xué)取得博士學(xué)位，師從包維柱教授，隨后在新加坡國立大學(xué)及法國索邦大學(xué)從事博士后研究。馮悅博士近年來致力于色散偏微分方程的數(shù)值求解方法及分析方面的研究，主要關(guān)注長時間動力學(xué)和高振蕩問題的算法設(shè)計及誤差估計，相關(guān)工作發(fā)表在SIAM J.Numer.Anal.,Math.Comp., Numer. Math.等學(xué)術(shù)期刊上。

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