A posteriorierror analysis for the Crank-Nicolson method for linear Schrödinger equations

DOI10.1051/m2an/2010101zbMath1269.65088OpenAlexW2099662641MaRDI QIDQ2839133

Irene Kyza

Publication date: 4 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2010101

zbMATH Keywords

numerical examplesCrank-Nicolson methoda posteriori error analysislinear Schrödinger equationCrank-Nicolson reconstructionenergy techniques\(L{^\infty }(L^{2})\)- and \(L{^\infty }(H^{1})\)-norm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation ⋮ Superconvergence analysis of finite element method for the time-dependent Schrödinger equation ⋮ A Posteriori Error Analysis for Evolution Nonlinear Schrödinger Equations up to the Critical Exponent ⋮ A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation ⋮ Superconvergence analysis of bi-\(k\)-degree rectangular elements for two-dimensional time-dependent Schrödinger equation

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