Abstract: An account of the error and the convergence theory is given for Gauss-Laguerre and Gauss-Radau-Laguerre quadrature formulae. We develop also truncated models of the original Gauss rules to compute integrals extended over the positive real axis. Numerical examples confirming the theoretical results are given comparing these rules among themselves and with different quadrature formulae proposed by other authors (Evans, Int. J. Comput. Math. 82:721730, 2005; Gautschi, BIT 31:438446, 1991).
Some remarks on the numerical computation of integrals on an unbounded interval / M. R., Capobianco; Criscuolo, Giuliana. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 45:(2007), pp. 37-48. (Intervento presentato al convegno First Dolomites workshop on Constructive Approximation Theory and Applications (DWCAA06) tenutosi a Alba di Canazei nel 2006) [10.1007/s11075-007-9078-2].
Some remarks on the numerical computation of integrals on an unbounded interval
CRISCUOLO, GIULIANA
2007
Abstract
Abstract: An account of the error and the convergence theory is given for Gauss-Laguerre and Gauss-Radau-Laguerre quadrature formulae. We develop also truncated models of the original Gauss rules to compute integrals extended over the positive real axis. Numerical examples confirming the theoretical results are given comparing these rules among themselves and with different quadrature formulae proposed by other authors (Evans, Int. J. Comput. Math. 82:721730, 2005; Gautschi, BIT 31:438446, 1991).| File | Dimensione | Formato | |
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