A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation

DOI10.1137/130920046zbMath1290.65072arXiv1110.0569OpenAlexW2964203639WikidataQ115246995 ScholiaQ115246995MaRDI QIDQ5418023

R. M. Caplan, R. Carretero-González

Publication date: 26 May 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0569

zbMATH Keywords

numerical examplesnonlinear Schrödinger equationnumerical boundary conditionscomplex partial differential equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Multidomain spectral method for Schrödinger equations, Maximum-norm error analysis of a difference scheme for the space fractional CNLS, A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations, Simple high-order boundary conditions for computing rogue waves in the nonlinear Schrödinger equation, Quadratic fractional solitons, A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain, A three-level linearized difference scheme for nonlinear Schrödinger equation with absorbing boundary conditions, A new absorbing layer approach for solving the nonlinear Schrödinger equation, Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU, Numerical stability of explicit Runge-Kutta finite-difference schemes for the nonlinear Schrödinger equation, A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations, Accurate numerical determination of a self-preserving quantum vortex ring