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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Detalles Bibliográficos
Autores principales: Zacharoula Kalogiratou, Theodoros Monovasilis
Formato: Artículo
Lenguaje:English
Publicado: MDPI AG 2023-12-01
Colección:Algorithms
Materias:
Acceso en línea:https://www.mdpi.com/1999-4893/16/12/558