On the Butcher group and general multi-value methods. (English) Zbl 0293.65050


65L05 Numerical methods for initial value problems involving ordinary differential equations
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[1] Butcher, J. C.: An Algebraic Theory of Integration Methods. Math. Comput.26, 79–106 (1972). · Zbl 0258.65070
[2] Butcher, J. C.: On the Order of Integration Methods (to appear in Math. Comput.). · Zbl 0132.36401
[3] Gear, C. W.: Numerical Initial Value Problems in Ordinary Differential Equations. Englewood Cliffs: Prentice-Hall. 1971. · Zbl 1145.65316
[4] Hairer, E., and G. Wanner: Multistep-Multistage-Multiderivative Methods for Ordinary Differential Equations. Computing11, 287–303 (1973). · Zbl 0271.65048
[5] Stetter, H. J.: Analysis of Discretization Methods for Ordinary Differential Equatins. Springer Tracts in Natural Philosophy, Vol.23 (1973). · Zbl 0276.65001
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