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An Optimized Symmetric 8-Step Semi-Embedded Predictor-Corrector Method for IVPs with Oscillating Solutions |
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PP: 73-80 |
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Author(s) |
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G. A. Panopoulos,
T. E. Simos,
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Abstract |
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| In this paper we present a new optimized symmetric eight-step semi-embedded predictor-corrector method (SEPCM) with
minimal phase-lag. The method is based on the symmetric multistep method of Quinlan-Tremaine [1], with eight steps and eighth
algebraic order and is constructed to solve IVPs with oscillating solutions. We compare the new method to some recently constructed
optimized methods and other methods from the literature. We measure the efficiency of the methods and conclude that the new method
with minimal phase-lag is the most efficient of all the compared methods and for all the problems solved. |
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