A splitting Chebyshev collocation method for Schrödinger-Poisson system

DOI10.1007/S40314-018-0616-4zbMath1404.35423OpenAlexW2794609082MaRDI QIDQ1993492

Hanquan Wang, Zhenguo Liang, RongHua Liu

Publication date: 5 November 2018

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0616-4

zbMATH Keywords

splitting methodChebyshev collocation methodquantum plasmasnonlinear Schrödinger and Poisson system

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of plasmas (82D10) Applications to the sciences (65Z05)

Related Items (3)

A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations ⋮ A collocation-based spectral element method for computing nonlinear optical waveguide ⋮ A mass- and energy-conserved DG method for the Schrödinger-Poisson equation

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