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Plane waves numerical stability of some explicit exponential methods for cubic Schrödinger equation

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Fig. 3.1. Error against time with unprojected Lawson method (d = 1) when integrating an exact plane wave with h = 0.1, 0.01, 0.001: L 2 -error (top left), error in Hamiltonian (top right), norm error (bottom left), momentum error (bottom right)
Fig. 4.1. Regions of stability for Strang method (top), Lawson method (d=1) when unprojected (mid- (mid-dle) and projected (bottom) (blue corresponds to instability of the method and the interior of the parabola in red discontinuous line corresponds to con
Fig. 4.2. Regions of stability for Strang method (top), Lawson method (d=1) when unprojected (mid- (mid-dle) and projected (bottom), (blue corresponds to instability of the method and the interior of the parabola in red discontinuous line corresponds to co
Fig. 5.1. Strang method (top), Lawson method (d=1) when unprojected (middle) and projected (bot- (bot-tom), when a = 1/2.
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