A conservative relaxation Crank-Nicolson finite element method for the Schr\"{o} dinger-Poisson equation
In this paper, we propose a novel mass and energy conservative relaxation Crank-Nicolson
finite element method for the Schr\"{o} dinger-Poisson equation. Utilizing only a single …
finite element method for the Schr\"{o} dinger-Poisson equation. Utilizing only a single …
Efficient numerical approximations for a non-conservative Nonlinear Schrodinger equation appearing in wind-forced ocean waves
We consider a non-conservative nonlinear Schrodinger equation (NCNLS) with time-
dependent coefficients, inspired by a water waves problem. This problem does not have …
dependent coefficients, inspired by a water waves problem. This problem does not have …
Unconditionally convergence and superconvergence error analysis of a mass-and energy-conserved finite element method for the Schrödinger–Poisson equation
H Yang, X Liu - Computational and Applied Mathematics, 2024 - Springer
This paper aims to investigate the unconditionally optimal and superconvergent error
estimates of a mass-and energy-conserved finite element method for the Schrödinger …
estimates of a mass-and energy-conserved finite element method for the Schrödinger …