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A linearized energy--conservative finite element method for the nonlinear Schrödinger equation with wave operator

By Wentao Cai and others
In this paper, we propose a linearized finite element method (FEM) for solving the cubic nonlinear Schr\"{o}dinger equation with wave operator. In this method, a modified leap-frog scheme is applied for time discretization and a Galerkin finite element method is applied for spatial discretization. We prove that the proposed method... Show more
February 22, 2019
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A linearized energy--conservative finite element method for the nonlinear Schrödinger equation with wave operator
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