%0 Journal Article
%T TWO CLASSES OF LINEARLY IMPLICIT METHODS<br>两类线性隐式方法
%A 孙耿
%A 毛祖范
%J 计算数学
%D 1981
%I 
%X In this paper, starting with the multistep method with variable coefficients, weconstruct a class of linearly implicit multistep methods which is associated with thebackward differentiation formula (Gear's method) and a class of its corresponding "one-leg" methods. They both have accuracy order p=k for k step methods. For linearautonomous system Y=AY, these two classes of methods are identical with Gear's me-thod, moreover the first k terms of the local truncation error in the "one-leg" methodsand Gear's method are the same. Finally, the results of the numerical tests are pre-sented.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=F0938E6571F67EF73D661B03F459B532&yid=AA64127AB7DEB65D&vid=38B194292C032A66&iid=0B39A22176CE99FB&sid=954CE65414DD94CA&eid=0584DB487B4581F4&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0