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VOL. 6 | 1984 The role of conditioning in the numerical solution of boundary value problems

Abstract

The manner in which small perturbations in the data give rise to a perturbation in the solution of a two point boundary value problem will determine how effectively the solution can be approximated nmnerically. However this 'conditioning' also has a number of other implications that are less obvious. These include the effect on the stability of numerical schemes, the conditioning of shooting methods and the existence of a dichotomy. This paper aims to examine some of these inter-relationships.

Information

Published: 1 January 1984
First available in Project Euclid: 18 November 2014

zbMATH: 0552.65064
MathSciNet: MR794166

Rights: Copyright © 1984, Centre for Mathematical Analysis, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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