Title: Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth,
Abstract: This paper describes an efficient algorithm for computing steady
two-dimensional surface gravity wave in irrotational motion. The algorithm
complexity is O(N log N), N being the number of Fourier modes. The algorithm
allows the arbitrary precision computation of waves in arbitrary depth, i.e.,
it works efficiently for Stokes, cnoidal and solitary waves, even for quite
large steepnesses. The method is based on conformal mapping, Babenko equation
rewritten in a suitable way, pseudo-spectral method and Petviashvili's
iterations. The efficiency of the algorithm is illustrated via some relevant
numerical examples. The code is open source, so interested readers can easily
check the claims, use and modify the algorithm.