Methods for computing singular and nearly singular integrals

DOI10.1088/1468-5248/3/1/041zbMath1082.65516OpenAlexW2005986865MaRDI QIDQ3372994

J. Thomas Beale

Publication date: 10 March 2006

Published in: Journal of Turbulence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1468-5248/3/1/041

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Numerical integration (65D30)

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Cites Work

• A method of local corrections for computing the velocity field due to a distribution of vortex blobs
• Convergence of a boundary integral method for 3-D water waves.
• Analysis of certain lattice sums
• A Method for Computing Nearly Singular Integrals
• A convergent boundary integral method for three-dimensional water waves
• The Method of Regularized Stokeslets
• Convergence of the point vortex method for the 2-D euler equations
• High-Order and Efficient Methods for the Vorticity Formulation of the Euler Equations
• Axisymmetric Vortex Sheet Motion: Accurate Evaluation of the Principal Value Integral
• Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions