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全球赌船十大网站青年学术论坛第5期——Solvinghighly-oscillatory NLS with SAM: numerical efficienc

发布者: [发表时间]:2014-06-03 [来源]: [浏览次数]:

讲座题目:Solvinghighly-oscillatory NLS with SAM: numerical efficiency and geometric properties

主讲人:张勇博士(维也纳大学)

主持人:陈秀卿副教授

时 间:201465日(周四)下午3:30-4:30

地 点:主楼1214

主要内容:

In this paper, we present the StroboscopicAveraging Method (SAM), which aims at numerically solving highly-oscillatorydifferential equations. More specifically, we first apply SAM to theSchrodinger equation on the 1-dimensional torus and on the real line with harmonicpotential, with the aim of assessing its efficiency: as compared to thewell-established standard splitting schemes, the stiffer the problem is, thelarger the speed-up grows (up to a factor 100 in our tests). The geometricproperties of SAM are also explored: on very long time intervals, symmetricimplementations of the method show a very good preservation of the massinvariant and of the energy. In a second series of experiments on 2-dimensionalequations, we demonstrate the ability of SAM to capture qualitatively thelong-time evolution of the solution (without spurring high oscillations).

报告人简介:

Yong ZHANGWolfgang Pauli Institute

Research Interests

Fast algorithms and their applications

Computational electromagnetic

Numerical methods and analysis of differential equations

Highly oscillatory system

Bose-Einstein Condensate