Local discontinuous Galerkin methods for the 3-order nonlinear Schr#x00F6; dinger equations

机译：三阶非线性Schrödinger方程的局部不连续Galerkin方法

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In this paper, a local discontinuous Galerkin(LDG) method is designed for solving the Schrödinger equation with three-order spatial derivatives. Our schemes extend the previous work of Xu and Shu [8] on solving the nonlinear Schrödinger equations on LDG method. The L² stability of the LDG methods is proved for general solutions. Numerical results are shown to illustrate the accuracy and capability of the LDG method.

机译：本文设计了一种局部不连续Galerkin（LDG）方法来求解具有三阶空间导数的Schrödinger方程。我们的方案扩展了Xu和Shu [8]先前在LDG方法上求解非线性Schrödinger方程的工作。证明了LDG方法的L ^{2 稳定性。数值结果表明了LDG方法的准确性和能力。}

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来源
《International Conference on Applied Robotics for the Power Industry;CARPI 2012》|2012年|p.625- 628|共4页
会议地点 Zurich(CH);Zurich(CH)
作者
Li Wenting; Jiang Kun;
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作者单位

School of Mathematical Sciences, Heilongjiang University, Haerbin, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类输配电工程、电力网及电力系统;输配电工程、电力网及电力系统;机器人技术;
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Local discontinuous Galerkin methods for the 3-order nonlinear Schr#x00F6; dinger equations

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