%0 Journal Article
%T STABILITY ANALYSIS FOR LEAP-FROG SCHEMES WITH ARBITRARY-ORDER ACCURACY<br>任意阶精度蛙跳格式稳定性分析
%A 秦孟兆
%J 计算数学
%D 1992
%I 
%X Feng Kang proposed in 1984 an approach to computing Hamiltonian equations fromthe viewpoint of symplectic geometry. He systematically described the general method for con-structing of symplectic schemes with any order accuracy via generating functions. The sameresults have been generalized to the infinite-dimensional Hamiltonian system. In 6]the stability conditions of leap-frog schemes were discussed. In this paper leap-frog schemeswith arbitrary order accuracy for wave equations and stability eonditions for these schemesare derived.
%K 蛙跳格式
%K 稳定性
%K Hamilton系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=54386B1C4421F00B1D12C9EB9B54285D&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=CA4FD0336C81A37A&sid=CA4FD0336C81A37A&eid=9CF7A0430CBB2DFD&journal_id=0254-7791&journal_name=计算数学&referenced_num=8&reference_num=9