带扰动的隐格式的收敛原理及其应用  

A Convergence Principle for the Implicit Scheme with Perturbations and Its Applications

作　　者：高改良[1] 周海云[1] 陈东青[1] 

机构地区：[1]军械工程学院数学与力学研究所,河北石家庄050003

出　　处：《应用数学》2002年第1期129-132,共4页Mathematica Applicata

摘　　要：本文研究了带扰动的隐格式的收敛性问题 ,建立了一个一般的收敛原理 .作为它的应用 。In this paper, the convergence problem on the implicit scheme with perturbations is studied, and a generai convergence principle is establish ed. As its applications, most of the recently related results are deduced from o ur convergence principle.

关 键 词：扰动 隐格式 收敛原理 显格式 Bannach空间 不动点 LIPSCHITZ连续 Φ-半压缩映象 

分 类 号：O177.91[理学—数学]