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Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT

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Academic year: 2021

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Figure 1: Two grids used in the Fourier domain in the improved algorithm in [29]: the regular grid on the left panel is used to compute I 1 in (2.3) via the regular FFT; while the polar grid (confined in a small region centered at the origin) on the right
Table 1: Errors for the evaluation of the 3D Coulomb interaction by different methods for different h and L.
Table 4: Errors for the evaluation of the 2D Coulomb interaction by different methods with L = 12, h = 1/8 for different γ.
Table 5: Errors for the evaluation of the 2D Poisson potential by different methods for different h and L.
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