%0 Journal Article
%T A FAMILY OF NUMERICAL METHODS FOR THE SOLUTION OF INITIAL VALUE PROBLEM OF STIFF DIFFERENTIAL EQUATIONS<br>Stiff微分方程初值问题的一类数值方法
%A 祝楚恒
%J 计算数学
%D 1980
%I 
%X In this paper, a family of numerical methods with stable parameter for thesolution of Stiff Differential Equations is derived. Each method in the family can be foundfrom a general formula by choosing a value for the parameter S Which is Called stable para-meter. A simple relation between the parameter S and the region of absolute stability is studied.When S = 0, this family of numerical methods is simply either classical Adams or Runge-Kutta method. We can choose parameter S to improve absolute stability, i. e. to extend theregion of absolute stability.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=6AFD61A9DCD6ABAF&yid=E56875464B1C0EC1&vid=0B39A22176CE99FB&iid=E158A972A605785F&sid=35E8A259891FB32F&eid=FA3423FC1AE95C4E&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0