泊松方程的一个多辛积分方法(英文)  

A Multi-Symplectic Integration Method for the Poisson Equation

作　　者：吕忠全[1,2] 王雨顺[1] 

机构地区：[1]“大规模复杂系统数值模拟”江苏省重点实验室,数学研究所,南京师范大学数学科学学院,江苏南京210046 [2]南京林业大学理学院,江苏南京210037

出　　处：《南京师大学报（自然科学版）》2011年第4期9-12,共4页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：Supported by the National Basic Research Program of China(2010AA012304);the National Natural Science Foundation of China(10971102&10871099);the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China(200720);“333 Project”Foundation of Jiangsu Province of China

摘　　要：分析了泊松方程的多辛结构,推导了泊松方程的多辛拟谱格式,并得出相关守恒律,最后进行了数值试验.数值模拟的高精度说明多辛方法为泊松方程的研究提供了一个有效的新工具.In this paper,we analyze the multi-symplectic structure and the relevant conservation laws for the Poisson equation.A multi-symplectic pseudo-spectral scheme of the Poisson equation is derived and some numerical results are presented.The high accuracy of the new-derived scheme implies that the multi-symplectic methods provide a new useful tool to study the Poisson equation.

关 键 词：多辛 FOURIER拟谱方法 泊松方程 

分 类 号：O241[理学—计算数学]