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Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems

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Abstract

Research on parallel iterated methods based on Runge-Kutta formulas both for stiff and non-stiff problems has been pioneered by van der Houwen et al., for example see [8-11]. Burrage and Suhartanto have adopted their ideas and generalized their work to methods based on Multistep Runge-Kutta of Radau type [2] for non-stiff problems. In this paper we discuss our methods for stiff problems and study their performance.

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Burrage, K., Suhartanto, H. Parallel iterated method based on multistep Runge-Kutta of Radau type for stiff problems. Advances in Computational Mathematics 7, 59–77 (1997). https://doi.org/10.1023/A:1018982432701

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