Corpus ID: 119248351

A linearized and conservative Fourier pseudo-spectral method for the damped nonlinear Schrödinger equation in three dimensions

@article{Jiang2018ALA,
  title={A linearized and conservative Fourier pseudo-spectral method for the damped nonlinear Schr{\"o}dinger equation in three dimensions},
  author={Chaolong Jiang and Yongzhong Song and Yushun Wang},
  journal={arXiv: Numerical Analysis},
  year={2018}
}
In this paper, we propose a linearized Fourier pseudo-spectral method, which preserves the total mass and energy conservation laws, for the damped nonlinear Schrodinger equation in three dimensions. With the aid of the semi-norm equivalence between the Fourier pseudo-spectral method and the finite difference method, an optimal $L^2$-error estimate for the proposed method without any restriction on the grid ratio is established by analyzing the real and imaginary parts of the error function… Expand
1 Citations
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