Numerical verification of solutions of Nekrasov's integral equation

DOI10.1007/S00607-004-0112-0zbMath1076.65123OpenAlexW2160772100MaRDI QIDQ2487205

Shin'ichi Oishi, Sunao Murashige

Publication date: 18 August 2005

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-004-0112-0

zbMATH Keywords

convergenceNewton methodnumerical verificationnonlinear singular integral equationwater wavesNekrasov's integral equationtrigonometrical polynomials

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Algorithms with automatic result verification (65G20) Singular nonlinear integral equations (45G05)

Related Items (2)

New exact relations for steady irrotational two-dimensional gravity and capillary surface waves ⋮ New enclosure algorithms for the verified solutions of nonlinear Volterra integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Linear integral equations.
• Numerical verification of solutions of periodic integral equations with a singular kernel
• The Computation of Water Waves Modelled by Nekrasov’s Equation
• On the existence of a wave of greatest height and Stokes’s conjecture
• On the existence theory for irrotational water waves
• Estimates for fredholm integral equations
• Verification methods for fredholm integral equations

This page was built for publication: Numerical verification of solutions of Nekrasov's integral equation