Two automatic adaptive integrators from QUADPACK (namely QAG and QAGS) are modified by substituting the Gauss-Konrod rules used for local quadrature with new closed symmetric interpolatory rules well suited for composition. 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.

Improving quadpack automatic integration routines

Favati P;
1987

Abstract

Two automatic adaptive integrators from QUADPACK (namely QAG and QAGS) are modified by substituting the Gauss-Konrod rules used for local quadrature with new closed symmetric interpolatory rules well suited for composition. 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.
1987
Istituto di informatica e telematica - IIT
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
Algorithms
Intergation
Program testing
Interpolatory quadrature
Numerical analysis
Quadrature
Numerical Differentiation
Adaptive and iterative quadrature
Mathematical software
Algorithm design
Analysis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/361159
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