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math.NA2023
Some notes on the trapezoidal rule for Fourier type integrals
Eleonora Denich, Paolo Novati
This paper deals with the error analysis of the trapezoidal rule for the computation of Fourier type integrals, based on two double exponential transformations. The theory allows t…
math.NA2023
A fast and simple algorithm for the computation of the Lerch transcendent
Eleonora Denich, Paolo Novati
This paper deals with the computation of the Lerch transcendent by means of the Gauss-Laguerre formula. An a priori estimate of the quadrature error, that allows to compute the num…