Order conditions for general linear methods

We describe the derivation of order conditions, without restrictions on stage order, for general linear methods for ordinary differential equations. This derivation is based on the extension of the Albrecht approach proposed in the context of Runge–Kutta and composite and linear cyclic methods. This...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 290; pp. 44 - 64
Main Authors:	Cardone, Angelamaria, Jackiewicz, Zdzisław, Verner, James H., Welfert, Bruno
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 15.12.2015
Subjects:	Derivation Differential equations General linear methods Kernels Mathematical analysis Multistage Nordsieck methods Order conditions Runge-Kutta method Stability Two-step Runge–Kutta formulas Volterra integral equations 65L05 Nordsieck methods 65L20 Order conditions Two-step Runge–Kutta formulas General linear methods
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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