An accurate numerical method for the computation of a class of generalized cosine integrals
DOI:
https://doi.org/10.5540/03.2025.011.01.0339Palavras-chave:
Generalized Cosine Integral, Numerical Quadratures, Asymptotic Approximations of Integrals, Double Exponential Quadrature, Numerical Methods in C++, Fractional LaplacianResumo
We develop an efficient and accurate method to compute the quadrature of an oscillatory integral arising in the discretization of the fractional Laplacian operator. The complete mathematical development is presented. The implementation, performed in modern C++, is provided as open-source software and proves to produce results with accuracy up to a few ulps.
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Referências
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