On the efficient implementation of implicit Runge-Kutta methods

Author:
J. M. Varah

Journal:
Math. Comp. **33** (1979), 557-561

MSC:
Primary 65L05

MathSciNet review:
521276

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Abstract | References | Similar Articles | Additional Information

Abstract: 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 semiexplicit methods and their variants.

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DOI:
https://doi.org/10.1090/S0025-5718-1979-0521276-3

Article copyright:
© Copyright 1979
American Mathematical Society