Families of nonlinear transformations for accurate evaluation of weakly singular integrals

DOI10.12941/JKSIAM.2023.27.194MaRDI QIDQ6647963

Beong In Yun

Publication date: 3 December 2024

Published in: Journal of the Korean Society for Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear transformationGauss-Legendre quadrature ruleweakly singular integral

Mathematics Subject Classification ID

Numerical integration (65D30)

Cites Work

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• On nonlinear transformations for the integration of weakly singular and Cauchy principal value integrals.
• The cruciform crack problem and sigmoidal transformations
• Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap
• An Extended Sigmoidal Transformation Technique for Evaluating Weakly Singular Integrals without Splitting the Integration Interval
• Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
• Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
• A generalisation of Telles' method for evaluating weakly singular boundary element integrals

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