Convergence of a simple discretization of the finite Hilbert transformation

DOI10.1016/j.camwa.2023.09.004arXiv2303.13693MaRDI QIDQ6062185

Martin Costabel

Publication date: 30 November 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.13693

zbMATH Keywords

Hilbert transformsingular integral equationmethod of discrete vorticesdiscrete dipole approximationdelta-delta discretization

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Spectral representations for finite Hilbert transformations
• Regular convergence of operators and approximate solution of equations
• Zur Theorie der endlichen Hilbert-Transformation
• A fully discrete Calderon Calculus for two dimensional time harmonic waves

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