REDUCED ORDER MODELS BASED ON POD METHOD FOR SCHRÖDINGER EQUATIONS

DOI10.3846/13926292.2013.870611zbMath1291.65266OpenAlexW1971425202MaRDI QIDQ5419707

Gerda Jankevičiūtė, Teresė Leonavičienė, Raimondas Čiegis, Andrej Bugajev

Publication date: 11 June 2014

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2013.870611

zbMATH Keywords

Galerkin methodfinite difference methodproper orthogonal decompositionerror boundSchrödinger equationnumerical experimentreduced-order model

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) 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)

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Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations ⋮ Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations ⋮ H2 OPTIMAL MODEL REDUCTION OF COUPLED SYSTEMS ON THE GRASSMANN MANIFOLD ⋮ A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS

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