Convergence and stability of a new quadrature rule for evaluating Hilbert transform
DOI10.1007/s11075-012-9584-8zbMath1262.65194OpenAlexW2024665976MaRDI QIDQ715136
Giuliana Criscuolo, Maria Rosaria Capobianco
Publication date: 1 November 2012
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9584-8
stabilityconvergenceHilbert transformHermite polynomialsGauss quadrature formulaCauchy singular integralCauchy principal valve integral
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
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