Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime

DOI10.1007/s11075-015-0032-4zbMath1338.65214arXiv1605.00429OpenAlexW1186873530MaRDI QIDQ285031

Thomas Kassebacher, Winfried Auzinger, Mechthild Thalhammer, Othmar Koch

Publication date: 18 May 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00429

zbMATH Keywords

convergencenumerical examplesemiclassical regimelocal errorsplitting methodsnonlinear Schrödinger equationsadaptive time integration

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Computing quantum dynamics in the semiclassical regime ⋮ Spectral splitting method for nonlinear Schrödinger equations with quadratic potential ⋮ Rogue quantum harmonic oscillations ⋮ Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation ⋮ High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit ⋮ Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation ⋮ Efficient exponential splitting spectral methods for linear Schrödinger equation in the semiclassical regime ⋮ Nekrasov tensors and nonsingular \({\mathcal {H}}\)-tensors ⋮ Splitting and composition methods with embedded error estimators ⋮ Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes

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