Authors of the web-site in alphabetical order: |
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Sergey A. Dyachenko | Alexander O. Korotkevich | Pavel M. Lushnikov | Anastassiya A. Semenova | Denis A. Silantyev |

In our recent works we computed with very high accuracy (at least 10e-26) Stokes' waves of different amplitude and provided a new, more accurate, estimation
for the maximum amplitude of the Stokes' wave. We were able to compute Stokes' waves with amplitudes which differs from the maximum one less than by 0.003%. These results were published in the following articles: -
S.A. Dyachenko, P.M. Lushnikov, and A.O. Korotkevich,
*The complex singularity of a Stokes' wave*, JETP Letters,**98**(11), 767-771 (2013) arXiv:1311.1882 DOI: 10.7868/S0370274X13230070 -
S.A. Dyachenko, P.M. Lushnikov, and A.O. Korotkevich,
*Branch cuts of Stokes' wave on deep water. Part I: Numerical solution and Padé approximation*, Studies in Applied Mathematics**137**(4), 419-472 (2016) arXiv:1507.02784 DOI: 10.1111/sapm.12128 -
P.M. Lushnikov,
*Structure and location of branch point singularities for Stokes' waves on deep water*, Journal of Fluid Mechanics,**800**, 557-594 (2016) arXiv:1509.03393 -
S.A. Dyachenko, P.M. Lushnikov, and D.A. Silantyev,
*New conformal mapping for adaptive resolving of the complex singularities of Stokes wave*, Proc. Roy. Soc. A**473**, 20170198 (2017) arXiv:1703.06343 -
A.O. Korotkevich, P.M. Lushnikov, A.A. Semenova, and S.A. Dyachenko,
*On Superharmonic Instability of Stokes' Waves*, In progress (2021)
Here you can find library of computed Stokes' waves represented as data for Padé approximation (see Appendix C in the article 2 above for full description): ZIP-Archive of the library of Stokes' waves (quadruple precision) ZIP-Archive of the few Stokes' waves (200 decimal digits precision) Here we provide several examples of the first three unstable eigenmodes for different values of steepness (see Appendix C in the article 5 above for full description): ZIP-Archive of the library of elevation profiles of the the first three unstable eigenmodes for perturbations of Stokes' waves (double precision) |
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This research was performed under support of National Science Foundation grant OCE1131791, work on Padé approximation was supported by Russian Scientific Foundation grant 14-22-00259. |
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