50 citations · 265 across the 22 of their papers we have counts for
Showing physics.comp-phShow all
2 papers · 1 filter
physics.comp-ph2020★ 9 cited
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…
physics.comp-ph2016★ 27 cited
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…