Abstract
In this paper product quadrature rules based on quasi-interpolating splines are proposed and convergence results are proved for bounded integrands. Convergence results are also proved for sequences of Cauchy principal value integrals of these quasiinterpolating splines. Some comparisons with other methods and numerical examples are given.
Zusammenfassung
Die vorliegende Arbeit behandelt auf quasiinterpolierenden Splines basierende Produktquadraturformeln und beweist Konvergenzresultate für limitierte Integranden. Konvergenzresultate mit diesen quasi-interpolierenden Splines werden auch für Cauchysche Hauptwertintegralsequenzen bewiesen. Vergleiche mit anderen Methoden und numerische Beispiele werden angegeben.
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Work sponsored by “Ministero dell'Università della Ricerca Scientifica” of Italy.
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Dagnino, C., Demichelis, V. & Santi, E. Numerical integration based on quasi-interpolating splines. Computing 50, 149–163 (1993). https://doi.org/10.1007/BF02238611
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DOI: https://doi.org/10.1007/BF02238611