Strang splitting for a semilinear Schrödinger equation with damping and forcing

DOI10.1016/j.jmaa.2017.06.004zbMath1370.65057OpenAlexW2623041405MaRDI QIDQ2014079

Roland Schnaubelt, Marcel Mikl, Tobias Jahnke

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000052585/3798074

zbMATH Keywords

regularityconvergencefast Fourier transformswell-posednesserror analysisnonlinear Schrödinger equationspectral collocationLugiato-Lefever equationexponential trapezoidal ruleSrang splitting

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Operator splitting for abstract Cauchy problems with dynamical boundary conditions ⋮ The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption ⋮ Periodic Behaviors of a Linear Fourth-Order Difference Solution to the Benjamin–Bona–Mahony-Type Equation with Time-Periodic Boundaries ⋮ A Priori Bounds and Global Bifurcation Results for Frequency Combs Modeled by the Lugiato--Lefever Equation ⋮ On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation ⋮ Soliton Solutions for the Lugiato–Lefever Equation by Analytical and Numerical Continuation Methods

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