Error Analysis of Splitting Methods for the Time Dependent Schrödinger Equation

DOI10.1137/100794535zbMath1233.65066arXiv1005.4709OpenAlexW2061130186MaRDI QIDQ3103526

Sergio Blanes, Fernando Casas, Ander Murua

Publication date: 7 December 2011

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4709

zbMATH Keywords

stabilitynumerical examplesLanczos methoderror analysisChebyshev methodsemidiscretizationtime dependent Schrödinger equationsplitting methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

An efficient algorithm based on splitting for the time integration of the Schrödinger equation ⋮ Splitting methods in the numerical integration of non-autonomous dynamical systems ⋮ Iterative splitting methods for integrodifferential equations: theory and applications

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