An optimal ultraspherical approximation of integrals

DOI10.1080/00207160008805021zbMath0969.65020OpenAlexW1985834039MaRDI QIDQ4521221

H. M. El-Hawary, M. S. Salim, Hussien Shafei Hussien

Publication date: 19 December 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008805021

zbMATH Keywords

numerical integrationerror estimationultraspherical polynomials

Mathematics Subject Classification ID

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

Related Items

A spectral Rayleigh-Ritz scheme for nonlinear partial differential systems of first order, On the optimization of Gegenbauer operational matrix of integration, Solving fractional differential equations by the ultraspherical integration method, SHIFTED GEGENBAUER OPERATIONAL MATRIX AND ITS APPLICATIONS FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS

Cites Work

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• The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
• An integral Chebyshev expansion method for boundary-value problems of O.D.E. type
• Parallelism in spectral methods
• Numerical solution of minimax problems of optimal control. I
• Error estimation in the numerical solution of ODE with the Tau method
• The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function
• Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique
• The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function
• On the legendre coefficients of the moments of the general order derivative of an infinitely differentiable function