报告题目： Low regularity Fourier integrators for some nonlinear dispersive equations
报告人：吴奕飞 教授
报告时间：2020年10月25日(周日)上午10:00-11:00
报告地点：腾讯会议：497932777 会议密码：123456
主持人：吕广迎 副教授
摘要： In recent years, more and more attention has been paid to the low regularity numerical study based on the practical needs. In this talk, some Fourier integrators are proposed for solving the KdV equation and the nonlinear Schrodinger equation. The designation of the scheme is based on the exponential-type integration and the Phase-Space analysis of the nonlinear dynamics. By the rigorous analysis, the new schemes provide the first-order or second-order accuracy in Sobolev spaces for rough data, and reduce the regularity requirement of existing methods so far for optimal convergence. Moreover, the conservation laws of the numerical solutions are considered.
报告人简介：吴奕飞，天津大学应用数学中心教授，博士生导师。从事基础数学偏微分方程方面的研究工作，在J. Eur. Math. Soc(JEMS)、Adv. Math、Analysis & PDE、Inter. Math. Res. Notice等学术期刊中发表21篇论文，曾主持国家自然科学基金面上项目、青年基金等项目，曾获全国优秀博士论文提名奖。
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数学与统计学院
2020年10月23日