【摘要】 研究一类积分微分方程线性多步方法 (ρ,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.更多还原

【Abstract】 This paper is concerned with the dissipativity of linear multistep methods(ρ,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.更多还原