99 citations · 694 across the 30 of their papers we have counts for
31 papers
Optimizing the size of array for modern discrete Fourier transform libraries
Alexander O. Korotkevich
The problem of optimization of the array size for modern discrete Fourier transform libraries is considered and reformulated as an integer linear programming problem. Acceleration…
Inverse cascade of gravity waves in the presence of condensate: numerical simulation
Alexander O. Korotkevich
During the set of direct numerical simulations of the forced isotropic turbulence of surface gravity waves in the framework of primordial dynamical equations, the universal inverse…
Superharmonic Instability of Stokes Waves
Alexander O. Korotkevich, Pavel M. Lushnikov, Anastassiya A. Semenova +1
A stability of nearly limiting Stokes waves to superharmonic perturbations is considered numerically. The new, previously inaccessible branches of superharmonic instability were in…
Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves
J. W. Banks, T. Buckmaster, A. O. Korotkevich +2
The present work considers systems whose dynamics are governed by the nonlinear interactions among groups of 6 nonlinear waves, such as those described by the unforced quintic nonl…
A new set of efficient SMP-parallel 2D Fourier subroutines
Alexander O. Korotkevich
Extensive set of tests on different platforms indicated that there is a performance drop of current standard de facto software library for the Discrete Fourier Transform (DFT) in c…
Comparison of Split-Step and Hamiltonian Integration Methods for Simulation of the Nonlinear Schrödinger Equation
Anastassiya Semenova, Sergey A. Dyachenko, Alexander O. Korotkevich +1
We provide a systematic comparison of two numerical methods to solve the widely used nonlinear Schrödinger equation. The first one is the standard second order split-step (SS2) met…