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Résolution numérique des équations différentielles par la formule de correction d’Hermite. (Numerical solution of ordinary differential equations by Hermite’s corrector formula). (French) Zbl 0624.65067
We use the Hermite’s corrector formula for solving systems of ordinary differential equations, in particular the Kepler’s equations. By an analog method, we obtain an algorithm for fixed points.

MSC:
65L05 Numerical methods for initial value problems involving ordinary differential equations
65H10 Numerical computation of solutions to systems of equations
34A34 Nonlinear ordinary differential equations and systems
70F05 Two-body problems
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