Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation

DOI10.1216/JIE-2017-29-1-189zbMath1361.65076arXiv1605.07340MaRDI QIDQ518947

Alexander Rieder, Jens Markus Melenk

Publication date: 4 April 2017

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07340

zbMATH Keywords

stabilityconvergencenumerical experimentsfinite elementsemidiscretizationboundary elementconvolution quadratureFEM-BEM couplingRunge-Kutta time steppingtime-dependent linear Schrödinger equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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