Orateur: Sandie Moody
Titre: Order Conditions of Runge-Kutta Methods using Rooted Trees and B-series.
Résumé: In this talk, we recall the definitions of Runge-Kutta methods and of the order of numerical methods. We then derive the first three order conditions of Runge-Kutta methods by a classical error analysis. Finally, we introduce rooted trees and B-Series to derive higher order conditions. By the end, you should have learnt to like the Runge-Kutta methods.

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