Another approach to Runge-Kutta methods

C.R. Traas

Another approach to Runge-Kutta methods

C.R. Traas

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Abstract

The condition equations are derived by the introduction of a system of equivalent differential equations, avoiding the usual formalism with trees and elementary differentials. Solutions to the condition equations are found by direct optimization, avoiding the necessity to introduce simplifying assumptions upon the Runge-Kutta coefficients. More favourable coefficients, in view of rounding errors, are found.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Publication status	Published - 2004

Publication series

Name
Publisher	Department of Applied Mathematics, University of Twente
No.	1739
ISSN (Print)	0169-2690

Keywords

MSC-65L06
EWI-3559
Runge-Kutta
IR-65923
condition equation
rounding error
direct optimization

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Cite this

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