Multigrid and adaptive algorithm for solving the nonlinear Schrödinger equation

DOI10.1016/0021-9991(90)90184-3zbMath0708.65111OpenAlexW2064201538MaRDI QIDQ920613

Guobin Wang, Qian-shun Chang

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90184-3

zbMATH Keywords

initial-boundary value problemnumerical examplesnonlinear Schrödinger equationdifference schememultigrid and adaptive algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications to the sciences (65Z05)

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Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• On the Korteweg - de Vries equation: Existence and uniqueness
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• The existence of unbounded solutions of the korteweg‐de vries equation
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