An efficient algorithm based on splitting for the time integration of the Schrödinger equation

DOI10.1016/j.jcp.2015.09.047zbMath1349.65393arXiv1502.06401OpenAlexW1882722114MaRDI QIDQ2374876

Sergio Blanes, Fernando Casas, Ander Murua

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06401

zbMATH Keywords

error analysistime-dependent Schrödinger equationsymplectic splitting methods

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

Related Items (5)

High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type ⋮ Computing the matrix sine and cosine simultaneously with a reduced number of products ⋮ An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrödinger equation ⋮ An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations

Uses Software

• DLMF

Cites Work

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