THE RESIDUAL AND THE ERROR FOR COLLOCATION METHODS
THE RESIDUAL AND THE ERROR FOR COLLOCATION METHODS
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Date
2001
Authors
A. H. AHMED
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corp
Abstract
We use earlier results on collocation matrices related to the solution and its
derivatives in describing asymptotic relation between the error on the highest derivative
and the residuals. That justifies the use of the form of the residual rather than its norm
in measuring the error.