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Schwarz waveform relaxation method for one dimensional Schrödinger equation with general potential

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Figure

Figure 1: Domain decomposition without overlap, N = 3.
Figure 2: |u 0,0 | et |u 0,N T | on (a 0 , b 0 ), V = −x 2 (left) and V = |u| 2 (right), ∆t = 0.001,
Table 2: Computation time in seconds, V = −x 2 , ∆t = 0.001, ∆x = 10 −5 , Gmres and Bicgstab
Figure 4: Convergence history, N = 10,1000, V = 5tx, ∆t = 0.001, ∆x = 10 −5 .
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