| 一类非线性Schroedinger方程的高精度守恒数值格式 |
| |
| 引用本文： | 张荣培,曹圣山.一类非线性Schroedinger方程的高精度守恒数值格式[J].高等学校计算数学学报,2007,29(3):226-235. |
| |
| 作者姓名： | 张荣培 曹圣山 |
| |
| 作者单位： | [1]辽宁石油化工大学理学院,抚顺113001 [2]中国海洋大学数学系,青岛266071 |
| |
| 基金项目： | 国家自然科学基金（青年）项目（10601050）. |
| |
| 摘 要： | 1引言
本文讨论下面非线性Schroedinger方程（NLS）方程的初边值问题：
i（偏du）/（偏dt）＋（偏d^2u）/（偏dx^2）＋2｜u^2｜u=0,（1）第一段]
|
| 关 键 词： | 非线性Schroedinger方程 数值格式 高精度 守恒 初边值问题 |
| 修稿时间： | 2005-05-22 |
A HIGH ACCURATE AND CONSERVATIVE NUMERICAL SCHEME FOR NONLINEAR SCHROEDINGER EQUATION |
| |
| Zhang Rongpei,Cao Shengshan.A HIGH ACCURATE AND CONSERVATIVE NUMERICAL SCHEME FOR NONLINEAR SCHROEDINGER EQUATION[J].Numerical Mathematics A Journal of Chinese Universities,2007,29(3):226-235. |
| |
| Authors: | Zhang Rongpei Cao Shengshan |
| |
| Institution: | School of Science, Liaoning Shihua University, Fushun 113001;Department of Mathematics,Ocean University of China, Qingdao 266071 |
| |
| Abstract: | In this paper, we present a new high accurate and conservative numerical scheme for nonlinear Schroedinger type equations.The scheme conserves the energy and charge of systems,and its convergence and stability are proved.By means of numerical computing,we get the conclusion that the new difference scheme is much better than the other schemes. |
| |
| Keywords: | NLS equation difference scheme high precision conservation convergence stability |
| 本文献已被 维普 等数据库收录！ |
