Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain

DOI10.1137/13090715XzbMath1300.65062OpenAlexW1972324900MaRDI QIDQ5495210

Jiwei Zhang, Xu Yang

Publication date: 31 July 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/13090715x

zbMATH Keywords

stabilityconvergencenumerical exampleabsorbing boundary conditionsemiclassical regimeSchrödinger equationCrank-Nicolson schemefrozen Gaussian approximation

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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