Hairer E. Numerical Geometric Integration of ODE 1999

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This manuscript has been prepared for the lectures "Integration geometrique des equa-equations differentielles" given at the University of Geneva during the winter semester 1998/99 B hours lectures and 1 hour exercises each week). It is directed to students in the third or fourth year. Therefore, a basic knowledge in Analysis, Numerical Analysis and in the theory and solution techniques of differential equations is assumed