An investigation into the effect of product approximation in the numerical solution of the cubic nonlinear Schrödinger equation

DOI10.1016/0021-9991(88)90133-7zbMath0641.65090OpenAlexW2095375462MaRDI QIDQ1100873

Yves Tourigny, John Ll. Morris

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90133-7

zbMATH Keywords

Galerkin methodnumerical experimentsCrank-Nicolson schemeproduct approximationone-dimensional cubic Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• Numerical experience with the nonlinear Schrödinger equation
• Finite-difference solutions of a non-linear Schrödinger equation
• Product Approximation for Non-linear Problems in the Finite Element Method
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