%0 Journal Article
%T A NEW SIMPLE ITERATIVE TECHNIQUE FOR THE IMPLICIT LINEAR MULTISTEP METHODS<br>隐式线性多步法的一种新的简单迭代技巧
%A 郭仁丽
%J 计算数学
%D 1986
%I 
%X A new expression of the Adams-Nordsieck-Gear method is proposed in 4] to enlarge theeffective stability region of Adams-Moulton method, which in fact implies a new technique ofsimple iteration with a parameter for implicit equations. In this paper, the technique is gene-ralized to solve general implicit linear multistep methods; in particular, the adequate Nordsieckexpression for the Gear method is derived and the corresponding variable-stepsize variable-orderprogram GEPS is formed.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=64D38536509312189BD929775DFF8E02&yid=4E65715CCF57055A&vid=5D311CA918CA9A03&iid=E158A972A605785F&sid=3BAAE0DA6093AC05&eid=0BD4FAD4A90498AB&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0