%0 Journal Article
%T A CLASS OF LINEARLY IMPLICIT A-STABLE ONE-STEP METHODS<br>一类线性隐式A稳定的单步法
%A 孙耿
%J 计算数学
%D 1980
%I 
%X For Stiff initial-value problems including a system of s coupled, non-linear,first-order ordinary differential equations, a class of linearly implicit A-stable one-step methodsis developed. These methods may be derived from suitably modified A-stable one-step methodscombined with the idea of the derivation of classical Runge-Kutta methods. We have constructedk-order linearly implicit A-stable one-step methods, k = 1, 2, 3, 4. Applying such technique to Gear's method, One may obtain a class of linearly implicitstiffly stable multistep methods.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=146D79C5C4AA811D&yid=E56875464B1C0EC1&vid=0B39A22176CE99FB&iid=E158A972A605785F&sid=8C27CCA578E52082&eid=869B6F3117981EC4&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0