Solving the nonlinear Schrödinger equation using exponential integrators

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Solving the nonlinear Schrödinger equation using exponential integrators¶

Using the notion of integrating factors, Lawson developed a class of numerical methods for solving stiff systems of ordinary differential equations. However, the performance of these “Generalized Runge–Kutta processes” was demonstrably poorer when compared to the ETD schemes of Certaine and Nørsett, recently rediscovered by Cox and Matthews. The deficit is particularly pronounced when the schem...

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ژورنال

عنوان ژورنال: Modeling, Identification and Control: A Norwegian Research Bulletin

سال: 2006

ISSN: 0332-7353,1890-1328

DOI: 10.4173/mic.2006.4.1