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一类解Stiff常微分方程的单步法
引用本文:陈德辉.一类解Stiff常微分方程的单步法[J].上海师范大学学报(自然科学版),1990(3).
作者姓名:陈德辉
作者单位:华东师范大学数学系
摘    要:本文给出解Stiff常微分方程初值问题的多导混合单步法,讨论了它们的L—稳定性,并进行了数值试验。

关 键 词:刚性  常微分方程  混合单步法  局部截断误差  帕第逼近  L-稳定

A Class of One-Step Method to Solve Stiff Ordinary Differential Equation
CHEN DEHUI.A Class of One-Step Method to Solve Stiff Ordinary Differential Equation[J].Journal of Shanghai Normal University(Natural Sciences),1990(3).
Authors:CHEN DEHUI
Institution:Department of mathematics
Abstract:A class of multiderivative hybrid one-step method for the numerioal solution of initial value problem in stiff ordinary differential equations is given. It is shown that the method of order 2l+2 exists uniquely and is i-stable. the results of numerical experiments are presented.
Keywords:stiff ordinary differential equation hybrid one-step method local truncation errer Pade approximation L-stable
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