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High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation
[article]
2021
arXiv
pre-print
A novel class of high-order linearly implicit energy-preserving integrating factor Runge-Kutta methods are proposed for the nonlinear Schr\"odinger equation. Based on the idea of the scalar auxiliary variable approach, the original equation is first reformulated into an equivalent form which satisfies a quadratic energy. The spatial derivatives of the system are then approximated with the standard Fourier pseudo-spectral method. Subsequently, we apply the extrapolation
arXiv:2103.00390v2
fatcat:7gbqrze5qffhpl43mwieu2l25y