Technical Reports

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UBC CS TR-78-05 Summary

On the Efficent Implementation of Implicit Runge-Kutta Methods, May 1978 James M. Varah

Extending some recent ideas of Butcher, we show how one can efficiently implement general implicit Runge-Kutta methods, including those based on Gaussian quadrature formulas which are particularly useful for stiff equations. With this implementation, it appears that these methods are more efficient than the recently proposed semi-explicit methods and their variants.


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