Construction of Two-Derivative Runge–Kutta Methods of Order Six

Two-Derivative Runge–Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six. Simplifying assumptions that reduce the number of order conditions are also given. The proc...

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Bibliographic Details
Main Authors: Zacharoula Kalogiratou, Theodoros Monovasilis
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/16/12/558