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Quadrature formulas for oscillatory integral transforms

  • Error Estimation in Coefficients of Exponential Sums and Polynomials
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Summary

Quadrature formulas are obtained for the Fourier and Bessel transforms which correspond to the well-known Gauss-Laguerre formula for the Laplace transform. These formulas provide effective asymptotic approximations, complete with error bounds. Comparison is also made between the quadrature formulas and the asymptotic expansions of these transforms.

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Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, Canada

    R. Wong

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  1. R. Wong
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Additional information

This research was supported in part by the Natural Sciences and Engineering Research Council of Canada under Contract A7359

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Wong, R. Quadrature formulas for oscillatory integral transforms. Numer. Math. 39, 351–360 (1982). https://doi.org/10.1007/BF01407868

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  • DOI: https://doi.org/10.1007/BF01407868

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