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A new theoretical approach to Runge-Kutta methods. (English) Zbl 0617.65067

The author presents an alternative derivation of the order conditions for Runge-Kutta methods. He avoids to show up the connection with rooted trees and claims his approach to be simple in its basic idea.
Reviewer: E.Hairer

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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