A close one-term approximation to the highest Stokes wave on deep water

2006/03/24 by R. C. T. Rainey, R.C.T. Rainey, M. S. Longuet‐Higgins +1 · 15 citations
Earth and Planetary Sciences · Mathematics · #Approximation error #Approximations of π #Coastal and Marine Dynamics #Constant (computer programming) #Deep water #Geology #Limiting #Mathematical analysis #Mathematics #Numerical integration #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Optics #Phase (matter) #Physics #Quantum mechanics #Spectral line #Surface gravity #Term (time) #Type (biology) #Wavelength

paper · doi:10.1016/j.oceaneng.2005.09.014

published in Ocean Engineering 33(14-15), 2012-2024 (Elsevier BV)

openalex publication_date 2006/03/24 · crossref created 2006/03/24 · crossref issued 2006/10/01 · crossref published 2006/10/01 · crossref published-print 2006/10/01 · crossref deposited 2019/01/17 · openalex created_date 2025/10/10 · crossref indexed 2025/12/25 · openalex updated_date 2026/07/22

Citations

• The singularity at the crest of a finite amplitude progressive Stokes wave
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions

Cited by

• Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Padé approximation
• Stokes wave [wikipedia]