Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
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Publication:2845602
DOI10.1137/120884146zbMath1345.65012arXiv1207.2283OpenAlexW2032439996MaRDI QIDQ2845602
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Publication date: 2 September 2013
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.2283
algorithmconvergenceboundary integral methoderror estimateHelmholtz equationgraded meshesstationary pointsnumerical resultoscillatory integralsClenshaw-Curtis quadratureintegrable singularities
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)
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