Approximation methods and stability of singular integral equations for Freud exponential weights on the line

DOI10.1216/jiea/1181075285zbMath1085.41020OpenAlexW2064395894WikidataQ59411811 ScholiaQ59411811MaRDI QIDQ2567974

Kai Diethelm, Steven B. Damelin

Publication date: 6 October 2005

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075285

zbMATH Keywords

approximate quadraturesingular integral equationFreud weightweighted Hilbert transform

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (12)

Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models ⋮ An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ ⋮ A second order explicit finite difference method for the fractional advection diffusion equation ⋮ Numerical analysis of an operational Jacobi tau method for fractional weakly singular integro-differential equations ⋮ On fractional extensions of Barbalat Lemma ⋮ Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old ⋮ Analytical and numerical methods for the stability analysis of linear fractional delay differential equations ⋮ A tribute to Géza Freud ⋮ Mathematical analysis of a Cauchy problem for the time-fractional diffusion-wave equation with \( \alpha \in (0,2) \) ⋮ The Mittag Leffler reproducing kernel Hilbert spaces of entire and analytic functions ⋮ Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights ⋮ Convergence and stability of a new quadrature rule for evaluating Hilbert transform

Uses Software

• ORTHPOL

Cites Work

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• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old
• Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights
• Interpolatory product quadratures for Cauchy principal value integrals with Freud weights
• Mean convergence of extended Lagrange interpolation for exponential weights
• Integral equations. Theory and numerical treatment
• BOUNDEDNESS AND UNIFORM NUMERICAL APPROXIMATION OF THE WEIGHTED HILBERT TRANSFORM ON THE REAL LINE
• Nystroem interpolants based on zeros of Laguerre polynomials for some Weiner-Hopf equations
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• Approximation of the Hilbert Transform on the real line using Hermite zeros
• Orthogonal polynomials for exponential weights

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