On the stability of Filon-Clenshaw-Curtis rules

DOI10.1007/s41980-022-00681-4OpenAlexW4210624517MaRDI QIDQ2682695

Hassan Majidian, Amjad Alipanah, Medina Firouzi

Publication date: 1 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-022-00681-4

zbMATH Keywords

condition numbercancellationoscillatory integralFilon-Clenshaw-Curtis rule

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Numerical integration (65D30)

Uses Software

• mctoolbox

Cites Work

• A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
• Stable application of Filon-Clenshaw-Curtis rules to singular oscillatory integrals by exponential transformations
• Modified filon-Clenshaw-Curtis rules for oscillatory integrals with a nonlinear oscillator
• Filon-Clenshaw-Curtis formulas for highly oscillatory integrals in the presence of stationary points
• On quadrature methods for highly oscillatory integrals and their implementation
• Efficient computation of oscillatory integrals by exponential transformations
• Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
• Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
• The Accuracy of Floating Point Summation
• Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
• Computing highly oscillatory integrals
• Computing Highly Oscillatory Integrals
• Accuracy and Stability of Numerical Algorithms
• Accurate Sum and Dot Product

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