Computable error bounds for collocation methods

This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideration of the involved differential operator, related matrices and the residual. It is shown that significant improveme...

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Bibliographic Details
Main Author: A. H. Ahmed
Format: Article
Language:English
Published: Hindawi Limited 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171295000123