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An algebraic theory of integration methods. (English) Zbl 0258.65070


MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
05C05 Trees
34A45 Theoretical approximation of solutions to ordinary differential equations
65J99 Numerical analysis in abstract spaces
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References:

[1] J. C. Butcher, Coefficients for the study of Runge-Kutta integration processes, J. Austral. Math. Soc. 3 (1963), 185 – 201. · Zbl 0223.65031
[2] J. C. Butcher, On the attainable order of Runge-Kutta methods, Math. Comp. 19 (1965), 408 – 417. · Zbl 0132.36401
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