IMPLEMENTATION ISSUES IN SOLVING NONLINEAR EQUATIONS FOR 2-POINT BOUNDARY-VALUE-PROBLEMS

被引：17

作者：

CASH, JR ^{[1
]}

WRIGHT, MH ^{[1
]}

机构：

[1] AT&T BELL LABS,MURRAY HILL,NJ 07974

来源：

COMPUTING | 1990年 / 45卷 / 01期

关键词：

AMS Subject Classification: 65L10 (boundary value problems); 68N99 (mathematical software); Boundary value problems; mathematical software; merit functions; nonlinear algebraic equations; watchdog strategy;

D O I：

10.1007/BF02250582

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Complex numerical methods often contain subproblems that are easy to state in mathematical form, but difficult to translate into software. Several algorithmic isues of this nature arise in implementing a Newton iteration scheme as part of a finite-difference method for two-point boundary value problems. We describe the practical as well as theoretical considerations behind the decisions included in the final code, with special emphasis on two "watchdog" strategies designed to improve reliability and allow early termination of the Newton iterates. © 1990 Springer-Verlag.

引用

页码：17 / 37

页数：21

共 29 条

[1] A NOTE ON SOLVING NONLINEAR EQUATIONS AND THE NATURAL CRITERION FUNCTION [J].