纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2011年
5期
603-608
,共6页
积分微分方程%散逸性%线性多步方法%复合求积公式
積分微分方程%散逸性%線性多步方法%複閤求積公式
적분미분방정%산일성%선성다보방법%복합구적공식
integro-differential equation%dissipativity%linear multistep methods%compound quadrature formula
研究一类积分微分方程线性多步方法（p，σ）的散逸性．当积分项用复合求积公式逼近时，证明了线性多步方法是有限维散逸的．这说明该方法很好地继承了系统本身所具有的重要性质．这一结论为数值求解这一类微分方程提供了更多的选择．
研究一類積分微分方程線性多步方法（p，σ）的散逸性．噹積分項用複閤求積公式逼近時，證明瞭線性多步方法是有限維散逸的．這說明該方法很好地繼承瞭繫統本身所具有的重要性質．這一結論為數值求解這一類微分方程提供瞭更多的選擇．
연구일류적분미분방정선성다보방법（p，σ）적산일성．당적분항용복합구적공식핍근시，증명료선성다보방법시유한유산일적．저설명해방법흔호지계승료계통본신소구유적중요성질．저일결론위수치구해저일류미분방정제공료경다적선택．
This paper is concerned with the dissipativity of linear multistep methods（p, σ） for one kind of integro-differential equations. When the integration term is approximated by the compound quadrature formula, we prove that the linear multistep methods are dissipative in finite-dimentional space. It is shown that the linear multistep methods can inherit the important property of the underlying systems. The result make me have more choice to solve the underlying systems.
