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Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval

โœ Scribed by V.J. Ervin; E.P. Stephan

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
540 KB
Volume
43
Category
Article
ISSN
0377-0427

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To search a given real interval for roots, our algorithm is to replace \(f(\lambda)\) by \(f_{N}(\lambda)\), its \(N\)-term Chebyshev expansion on the search interval \(\lambda \in\left[\lambda_{\min }, \lambda_{\max }\right]\), and compute the roots of this proxy. This strategy is efficient if and