An embedded split-step method for solving the nonlinear Schrödinger equation in optics

DOI10.1016/j.jcp.2014.09.018zbMath1349.78088OpenAlexW2015747746MaRDI QIDQ349721

Fabrice Mahé, Stéphane Balac

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.09.018

zbMATH Keywords

nonlinear Schrödinger equationadaptive step-size controlsymmetric split-step method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• Local error estimation by doubling
• Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• Solving Ordinary Differential Equations I
• Elliptic Partial Differential Equations of Second Order
• The Order of Numerical Methods for Ordinary Differential Equations
• Averaging for split-step scheme
• Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation