Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator
DOI10.1007/s10444-023-10077-5OpenAlexW4387879096MaRDI QIDQ6063017
Jilu Wang, Shu Ma, Zhimin Zhang, Mingyan Zhang
Publication date: 2 December 2023
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-023-10077-5
nonlinear Schrödinger equationerror estimatewave operatorGauss collocation methodhigh-order convergencemass and energy conservationscalar auxiliary variable
Numerical computation of solutions to systems of equations (65H10) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) 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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