A Fourth Order Symplectic and Conjugate-Symplectic Extension of the Midpoint and Trapezoidal Methods

The paper presents fourth order Runge–Kutta methods derived from symmetric Hermite–Obreshkov schemes by suitably approximating the involved higher derivatives. In particular, starting from the multi-derivative extension of the midpoint method we have obtained a new symmetric implicit Runge–Kutta met...

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Bibliographic Details
Main Authors: Felice Iavernaro, Francesca Mazzia
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/10/1103