Two automatic adaptive integrators from QUADPACK (namely, QAG and QAGS) are modified by substituting the Gauss-Kronrod rules used for local quadrature with recursive monotone stable (RMS) formulas. Extensive numerical tests, both for one-dimensional and two-dimensional integrals, show that the resulting programs are faster, perform less functional evaluations, and are more reliable.

Algorithm 691: improving QUADPACK automatic integration routines

Favati P;
1991

Abstract

Two automatic adaptive integrators from QUADPACK (namely, QAG and QAGS) are modified by substituting the Gauss-Kronrod rules used for local quadrature with recursive monotone stable (RMS) formulas. Extensive numerical tests, both for one-dimensional and two-dimensional integrals, show that the resulting programs are faster, perform less functional evaluations, and are more reliable.
1991
Istituto di informatica e telematica - IIT
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
Algorithms
Integration
Interpolatory quadrature
Program testing
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/451316
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