解偏微分方程的线性多步法的傅立叶分析

journal6 ›› 2001, Vol. 22 ›› Issue (1): 52-55.

解偏微分方程的线性多步法的傅立叶分析

(暨南大学数学系, 广东广州 510632)

出版日期:2001-03-15 发布日期:2013-01-05
作者简介:林立东( 1977- ) ,男, 广东梅县人,暨南大学数学系硕士研究生,主要从事微分方程研究.
基金资助:
国务院侨办重点学科基金资助项目( 93A109)

Fourier Analysis of Linear Multistep Methods for Partial Difference Equation

( Dept. of Mathematics, Jinan University, Guangzhou 510632, China)

Online:2001-03-15 Published:2013-01-05

摘要/Abstract

摘要：讨论了如何将显式、隐式线性多步法转化为显式、隐式的向量单步形式,对它们进行了傅立叶分析, 给出了它们的可解性假设条件.

关键词： 隐式线性多步法, 显式线性多步法, 向量单步法, 傅立叶变换

Abstract: In this paper, it is discussed how to reduce linear multistep formulas to onestep vector form, treating first explicit formulas and then implicit ones.The formulas are analysed by Fourier methods and solvability as sumption is given.

Key words: implicit linear multistep formulas, explicit linear multistep formulas, one-step vector formula, Fourier transform

林立东. 解偏微分方程的线性多步法的傅立叶分析[J]. journal6, 2001, 22(1): 52-55.

LIN Li-Dong. Fourier Analysis of Linear Multistep Methods for Partial Difference Equation[J]. journal6, 2001, 22(1): 52-55.

解偏微分方程的线性多步法的傅立叶分析

Fourier Analysis of Linear Multistep Methods for Partial Difference Equation

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