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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…