Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems

DOI10.1016/j.aml.2015.12.012zbMath1334.65152OpenAlexW2264565679MaRDI QIDQ253904

Xavier Antoine, Emmanuel Lorin

Publication date: 8 March 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.12.012

zbMATH Keywords

convergenceSchrödinger equationdomain decomposition methodSchwarz waveform relaxation algorithm

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations ⋮ Domain decomposition method for the \(N\)-body time-independent and time-dependent Schrödinger equations ⋮ On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation ⋮ Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves ⋮ Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation

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