A product quadrature algorithm by Hermite interpolation

DOI10.1016/0377-0427(87)90104-XzbMath0613.65020OpenAlexW2003583335MaRDI QIDQ1819536

Ayse Alaylioglu, Doron S. Lubinsky

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90104-x

zbMATH Keywords

algorithmconvergenceerror estimatesHermite interpolationproduct integralproduct integration rulesoscillatory weight functions

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Properties of certain piecewise polynomial product integration rules ⋮ Product integration based on Hermite-Fejér interpolation ⋮ Product integration of singular integrands using Hermite-Fejér interpolation

Cites Work

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• Über gewisse Interpolationspolynome, die zu den Jacobischen und Laguerreschen Abszissen gehören
• A class of orthogonal polynomials
• Product Integration in the Presence of a Singularity
• Convergence of Product Integration Rules for Functions With Interior and Endpoint Singularities Over Bounded and Unbounded Intervals
• Properties of Interpolatory Product Integration Rules
• A method for the integration of oscillatory functions
• Orthogonal polynomials
• A numerical method for the integration of oscillatory functions
• A Modification of Filon's Method of Numerical Integration
• Über die Konvergenz des Hermite-Fejérschen Interpolationsverfahrens

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