Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation

DOI10.1016/j.camwa.2022.07.004OpenAlexW4288032584WikidataQ113878662 ScholiaQ113878662MaRDI QIDQ2172565

Dongdong Hu, Yayun Fu, Gengen Zhang

Publication date: 16 September 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.07.004

zbMATH Keywords

Gross-Pitaevskii equationconservative schemesexponential integratorssymplectic Runge-Kutta methodsscalar auxiliary variable

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (2)

High-order Runge-Kutta structure-preserving methods for the coupled nonlinear Schrödinger-KdV equations ⋮ Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method

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