Convergence of a Strang splitting finite element discretization for the Schrödinger–Poisson equation
نویسندگان
چکیده
منابع مشابه
Strang Splitting Methods for a Quasilinear Schrödinger Equation - Convergence, Instability and Dynamics
We study the Strang splitting scheme for quasilinear Schrödinger equations. We establish the convergence of the scheme for solutions with small initial data. We analyze the linear instability of the numerical scheme, which explains the numerical blow-up of large data solutions and connects to analytical breakdown of regularity of solutions to quasilinear Schrödinger equations. Numerical tests a...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2017
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2016059