The Use of Collocation as a Projection Method for Solving Linear Operator Equations

The general theory of projection methods and computational use of such methods is examined. Error expressions which are simplifications of those found in earlier works ([3], [16]) are derived. Finally, several numerical examples of solving linear integral equations of the second kind using collocati...

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Bibliographic Details
Published in:SIAM journal on numerical analysis 1972-03, Vol.9 (1), p.14-28
Main Author: Phillips, James L.
Format: Article
Language:English
Subjects:
Approximation
Differential equations
Error bounds
Error rates
Linear transformations
Mathematical tables
Methods
Polynomials
Spline functions
Textual collocation
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Summary:The general theory of projection methods and computational use of such methods is examined. Error expressions which are simplifications of those found in earlier works ([3], [16]) are derived. Finally, several numerical examples of solving linear integral equations of the second kind using collocation are given.
ISSN:0036-1429
1095-7170
DOI:10.1137/0709003