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Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation

✍ Scribed by Elena Celledoni; David Cohen; Brynjulf Owren


Book ID
106297210
Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
826 KB
Volume
8
Category
Article
ISSN
1615-3375

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A new sixth-order Runge-Kutta type method is developed for the numerical integration of the one-dimensional Schrodinger equation. The formula developed contains certain free parameters which allows it to be fitted automatically to exponential functions. We give a comparative error analysis with othe