| Abstract: |
| The spectral stability of traveling waves in 2D ideal fluid of infinite depth is studied by linearization
of the equations of motion for the free surface
around a Stokes wave, and studying the spectrum of the associated Fourier-Floquet-Hill
(FFH) eigenvalue problem. We developed a novel approach to studying the eigenvalue
spectrum by combining the conformal Hamiltonian canonical variables, the FFH technique
built into a matrix-free Krylov-Schur eigenvalue solver. The method has $N\log N$ numerical
complexity and enjoys spectral accuracy. |
|