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The existence and construction of rational Gauss-type quadrature rules

✍ Scribed by Karl Deckers; Adhemar Bultheel


Book ID
113440367
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
421 KB
Volume
218
Category
Article
ISSN
0096-3003

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S-orthogonality and construction of Gaus
✍ Walter Gautschi; Gradimir V. Milovanovic πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 599 KB

Using the theory of s-orthogonality and reinterpreting it in terms of the standard orthogonal polynomials on the real line, we develop a method for constructing Gauss-Turfin-type quadrature formulae. The determination of nodes and weights is very stable. For finding all weights, our method uses an u