Another approach to Runge-Kutta methods

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Traas, C.R. (2004) Another approach to Runge-Kutta methods. [Report]

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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.
Item Type:Report
Additional information:Imported from MEMORANDA
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/65923
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