This paper is devoted to the analysis of a relaxation-type numerical scheme for a nonlinear Schrödinger equation arising in plasma physics. The scheme is shown to be preservative in the sense that it preserves mass and energy. We prove the well-posedness of the semidiscretized system and prove convergence to the solution of the time-continuous model.
Oelz, D., & Trabelsi, S. (2014). Analysis of a Relaxation Scheme for a Nonlinear Schrödinger Equation Occurring in Plasma Physics. Mathematical Modelling and Analysis, 19(2), 257-274. https://doi.org/10.3846/13926292.2014.910279
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