99 citations · 694 across the 30 of their papers we have counts for
6 papers · 1 filter
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…
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…
Operator Splitting Method for Simulation of Dynamic Flows in Natural Gas Pipeline Networks
Sergey A. Dyachenko, Anatoly Zlotnik, Alexander O. Korotkevich +1
We develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic par…
Numerical simulation of surface waves instability on a discrete grid
A. O. Korotkevich, A. I. Dyachenko, V. E. Zakharov
We perform full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and…
Proof of concept implementation of the massively parallel algorithm for simulation of dispersion-managed WDM optical fiber systems
Alexander O. Korotkevich, Pavel M. Lushnikov
We perform a proof-of-concept implementation of the massively parallel algorithm (P.M. Lushnikov, Opt. Lett., v. 27, 939 (2002)) for simulation of dispersion-managed wavelength-div…