Propagation of Gevrey regularity over long times for the fully discrete Lie Trotter splitting scheme applied to the linear Schrödinger equation
Author:
Publisher
EDP Sciences
Subject
Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics
Link
http://www.esaim-m2an.org/10.1051/m2an/2009028/pdf
Reference15 articles.
1. Birkhoff normal form for partial differential equations with tame modulus
2. Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
3. Conserved quantities of some Hamiltonian wave equations after full discretization
4. Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions
5. G. Dujardin,Analyse de méthodes d'intégration en temps des équation de Schrödinger. Ph.D. Thesis, University Rennes 1, France (2008).
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