Resonant time steps and instabilities in the numerical integration of Schrödinger equations.

zbMath1363.37038arXiv1311.2099MaRDI QIDQ2341795

Tiphaine Jézéquel, Erwan Faou

Publication date: 6 May 2015

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2099

zbMATH Keywords

periodic boundary conditioncubic Schrödinger equationstrong numerical instability

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Resonance in context of PDEs (35B34) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical nonlinear stabilities in dynamical systems (65P40)

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