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- Title
Creating stable quadrature rules with preassigned points by interpolation.
- Authors
Majidian, Hassan
- Abstract
A new approach for creating stable quadrature rules with preassigned points is proposed. The idea is to approximate a known stable quadrature rule by a local interpolation at the preassigned points. The construction cost of the method does not grow as the number of the preassigned points increases. The accuracy of the rule depends only on the accuracy of the chosen stable rule and that of the interpolation. The efficiency of the rule is illustrated by some numerical examples.
- Subjects
NUMERICAL analysis; CONSTRUCTION costs; GAUSSIAN quadrature formulas; POLYNOMIALS; NUMERICAL integration
- Publication
Calcolo, 2016, Vol 53, Issue 2, p217
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-015-0145-0