A note on the computation of a Green's function for short wavelength water waves over a plane incline

DOI10.1016/j.cam.2011.09.044zbMath1372.76017OpenAlexW2040496051MaRDI QIDQ654790

Ulf Torsten Ehrenmark

Publication date: 21 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.044

zbMATH Keywords

residue theoremBoole's ruleBromwich line

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical integration (65D30) Complex variables methods applied to problems in fluid mechanics (76M40)

Cites Work

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• A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
• On the error and its control in a two-parameter generalised Newton-Cotes rule
• On the normal incidence of linear waves over a plane incline partially covered by a rigid lid
• Surface waves in water of variable depth