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• W2557541536 abstract "In this paper, we propose a conservative linearized Crank–Nicolson Galerkin FEMs for the nonlinear fractional Schrödinger equation. We construct5 a time-discrete system, to which, the mass conservation, semi-discrete error estimates and the suitable regularity of the numerical solution are obtained. With the spatial direction discreted by FEMs, the fully discrete conservative linearized finite element scheme is presented. Moreover, by a new error splitting technique, an unconditional -norm error estimates are derived by the boundedness of the fully-discrete numerical solution in -norm. Finally, some numerical examples are given to confirm the theoretical results." @default.
• W2557541536 created "2016-12-08" @default.
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• W2557541536 date "2016-11-28" @default.
• W2557541536 modified "2023-09-29" @default.
• W2557541536 title "Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation" @default.
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• W2557541536 doi "https://doi.org/10.1080/00036811.2016.1262947" @default.
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