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Order and stability of parallel methods for stiff problems

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Abstract

This paper explores methods of DIMSIM structure, with coefficient matrix of the form A = λ I, allowing the stages to be evaluated in parallel. It is found that many of these methods possess a strong A-stable property making them suitable for the solution of large stiff problems.

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Butcher, J.C. Order and stability of parallel methods for stiff problems. Advances in Computational Mathematics 7, 79–96 (1997). https://doi.org/10.1023/A:1018934516771

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  • DOI: https://doi.org/10.1023/A:1018934516771

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