The evaluation and application of some modified moments

DOI10.1007/BF01933408zbMath0273.65018OpenAlexW2031004775MaRDI QIDQ5180755

Maria Branders, Robert Piessens

Publication date: 1973

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933408

Mathematics Subject Classification ID

Related Items (20)

A method for efficient computation of integrals with oscillatory and singular integrand ⋮ Filon-Clenshaw-Curtis formulas for highly oscillatory integrals in the presence of stationary points ⋮ Three algorithms for Hadamard finite-part integrals and fractional derivatives ⋮ Construction of a recurrence relation for modified moments ⋮ Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices ⋮ Product integration rules by the constrained mock-Chebyshev least squares operator ⋮ An efficient quadrature rule for weakly and strongly singular integrals ⋮ On fast and stable implementation of Clenshaw-Curtis and Fejér-type quadrature rules ⋮ Clenshaw-Curtis algorithms for an efficient numerical approximation of singular and highly oscillatory Fourier transform integrals ⋮ On the computation of Fourier transforms of singular functions ⋮ An extension of Clenshaw-Curtis quadrature ⋮ On the Chebyshev quadrature rule of finite part integrals ⋮ Unnamed Item ⋮ The nonlinear evolution of vortex sheets with surface tension in axisymmetric flows ⋮ Product-integration with the Clenshaw-Curtis and related points: Convergence properties ⋮ Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator ⋮ Product integration with the Clenshaw-Curtis points: Implementation and error estimates ⋮ Application of adaptive quadrature to axisymmetric vortex sheet motion ⋮ Szegő polynomials and quadrature formulas on the unit circle ⋮ The Chebyshev points of the first kind

Cites Work

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• A method for numerical integration on an automatic computer
• The numerical solution of linear recurrence relations
• Relative error propagation in the recursive solution of linear recurrence relations
• [https://portal.mardi4nfdi.de/wiki/Publication:5342124 Gaussian Quadrature Formulae for � 1 0 -ln(x)f(x) dx]
• Computational Aspects of Three-Term Recurrence Relations
• Calculation of Gauss Quadrature Rules
• On the Construction of Gaussian Quadrature Rules from Modified Moments

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