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EfficientP-stable methods for periodic initial value problems

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Abstract

Efficient families ofP-stable formulae are developed for the numerical integration of periodic initial value problems where the required solution has an unknown period. Formulae of orders 4 and 6 requiring respectively 2 and 4 function evaluations per step are derived and some numerical results are given.

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Cash, J.R. EfficientP-stable methods for periodic initial value problems. BIT 24, 248–252 (1984). https://doi.org/10.1007/BF01937491

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  • DOI: https://doi.org/10.1007/BF01937491

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