Runge–Kutta Pairs of Orders 6(5) with Coefficients Trained to Perform Best on Classical Orbits

Runge–Kutta Pairs of Orders 6(5) with Coefficients Trained to Perform Best on Classical Orbits

We consider a family of explicit Runge–Kutta pairs of orders six and five without any additional property (reduced truncation errors, Hamiltonian preservation, symplecticness, etc.). This family offers five parameters that someone chooses freely. Then, we train them in order for the presented method...

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Bibliographic Details
Main Authors: Yu-Cheng Shen, Chia-Liang Lin, Theodore E. Simos, Charalampos Tsitouras
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Mathematics
Subjects:
initial value problem
Kepler-type orbits
Runge–Kutta
differential evolution
Online Access:https://www.mdpi.com/2227-7390/9/12/1342

Internet

https://www.mdpi.com/2227-7390/9/12/1342

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