An Energy Conservative Numerical Scheme on Mixed Meshes for the Nonlinear Schrödinger Equation

DOI10.1063/1.3241624zbMath1185.65156OpenAlexW1580974995MaRDI QIDQ5851580

Takayasu Matsuo, Takaharu Yaguchi, Masaaki Sugihara

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3241624

zbMATH Keywords

numerical examplesnonlinear Schrödinger equationenergy conservationfinite difference schemesdiscrete variational methodmixed meshmimetic scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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