Unconditional \(L^{\infty }\)-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions
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Publication:1616097
DOI10.1007/s10092-018-0277-0zbMath1404.65103OpenAlexW2885092532MaRDI QIDQ1616097
Publication date: 31 October 2018
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-018-0277-0
conservation lawscompact finite difference methodunconditional convergencenonlinear Schrödinger equation in multi-dimensionsoptimal \(L^{\infty }\)-error estimate
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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