PLANE WAVE STABILITY OF THE SPLIT-STEP FOURIER METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION

DOI10.1017/fms.2014.4zbMath1297.65127arXiv1306.0656OpenAlexW2963778003MaRDI QIDQ2879418

Ludwig J. Gauckler, Erwan Faou, Christian Lubich

Publication date: 1 September 2014

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0656

zbMATH Keywords

stabilityCourant-Friedrichs-Lewy conditioncubic nonlinear Schrödinger equationsplit-step Fourier methodplane wave solutions

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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