Abstract
The numerical integration of integrals of the type\(\mathop \smallint \limits_{ - 1}^1 e^{ - kx} f(x)\) dx is carried out through an approximate quadrature formula of the Gauss type\(\mathop \sum \limits_{i = 1}^m A_i f(x_i )\) where the abscissasx i and the weighting coefficientsA i are evaluated with the requirement that the above formula be exact when thef(x) are polynomials of the highest possible degree.
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Bibliografia
A. Ghizzetti:Sulle formule di quadratura. Rend. Sem. Mat. e Fis. Milano,26 (1954–1955) 45–60.
V. I. Krylov:Approximate calculation of Integrals. The MacMillan Company, New York, London.
A. Ghizzetti:Lezioni di Analisi Superiore 1955–1956 Roma, Libreria Eredi. V. Veschi.
M. M. Cecchi: Tavole di nodi e pesi per\(\mathop \smallint \limits_{ - 1}^1 e^{ - kx} f(x)dx \simeq \mathop \sum \limits_{i = 1}^m A_i (x_i )\). Nota interna Il del C.S.C.E. del C.N.R.
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Cecchi, M.M. L’integrazione numerica di una classe di integrali utili nei calcoli quantomeccanici. Calcolo 4, 363–368 (1967). https://doi.org/10.1007/BF02576031
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DOI: https://doi.org/10.1007/BF02576031