7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.NA2021
The Numerical Unified Transform Method for the Nonlinear Schrödinger equation on the half-line
Xin Yang, Bernard Deconinck, Thomas Trogdon
We implement the Numerical Unified Transform Method to solve the Nonlinear Schrödinger equation on the half-line. For so-called linearizable boundary conditions, the method solves…
math.NA2020★ 1 cited
The Numerical Unified Transform Method for Initial-boundary Value Problems on the Half-line
Bernard Deconinck, Thomas Trogdon, Xin Yang
We implement the Unified Transform Method of Fokas as a numerical method to solve linear partial differential equations on the half-line. The method computes the solution at any x…
nlin.SI2018★ 7 cited
Numerical inverse scattering for the sine-Gordon equation
Bernard Deconinck, Thomas Trogdon, Xin Yang
We implement the numerical inverse scattering transform (NIST) for the sine-Gordon equation in laboratory coordinates on the real line using the method developed by Trogdon, Olver…