GENERAL MESH INDEPENDENCE PRINCIPLE FOR NEWTON METHOD APPLIED TO 2ND ORDER BOUNDARY-VALUE-PROBLEMS

被引：10

作者：

ALLGOWER, EL

MCCORMICK, SF

PRYOR, DV

机构：

[1] Department of Mathematics, Colorado State University, Fort Collins, 80523, CO

来源：

COMPUTING | 1979年 / 23卷 / 03期

关键词：

D O I：

10.1007/BF02252130

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Recent work has established that for certain classes of nonlinear boundary value problems, the number of Newton iterations applied to the related standard discrete problem for a given tolerance is independent of the mesh size when the mesh is sufficiently fine. This paper develops an extension of the mesh independence principle by relaxing the assumption on the differential equation, its boundary conditions, and the related difference approximation. © 1979 Springer-Verlag.

引用

页码：233 / 246

页数：14