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Eighth Order Two-Step Methods Trained to Perform Better on Keplerian-Type Orbits

Eighth Order Two-Step Methods Trained to Perform Better on Keplerian-Type Orbits

The family of Numerov-type methods that effectively uses seven stages per step is considered. All the coefficients of the methods belonging to this family can be expressed analytically with respect to four free parameters. These coefficients are trained through a differential evolution technique in order to perform best in a …