Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped

DOI10.1007/978-3-319-20239-6_12zbMath1359.65174arXiv1503.07811OpenAlexW1225207327MaRDI QIDQ2942195

Alexander Zlotnik

Publication date: 20 August 2015

Published in: Finite Difference Methods,Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07811

zbMATH Keywords

stabilityerror estimatesfinite element methodunbounded domainsuperconvergenceCrank-Nicolson schemetime-dependent Schrödinger equationdiscrete transparent boundary conditions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis ⋮ Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis

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