Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
DOI10.1016/j.cpc.2023.109007arXiv2310.08969MaRDI QIDQ6137631
Cesáreo González, Sergio Blanes, Mechthild Thalhammer, Fernando Casas
Publication date: 16 January 2024
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.08969
convergenceSchrödinger equationsnonlinear evolution equationsparabolic problemsGross-Pitaevskii systemsFourier spectral methodgeometric time integrationoperator splitting methods
Abstract parabolic equations (35K90) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
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