An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension

DOI10.1007/s10915-018-0789-4zbMath1417.65167arXiv1801.05875OpenAlexW2963950222MaRDI QIDQ2420684

Anqi Chen, Yingda Cheng, Fengyan Li

Publication date: 6 June 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05875

zbMATH Keywords

stabilityerror estimatesprojectionone-dimensional Schrödinger equationultra-weak discontinuous Galerkin method

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) 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) 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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