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There is a rich theory describing the approximation of nonlinear semigroups.At its core one finds the results by Brezis and Pazy,who generalize the classical linear results of Trotter and Chernoff.Even though the theory was derived in the early seventies,it is virtually unknown within the numerical community.The aim of this talk is therefore to illustrate how this nonlinear theory can be used as a corner stone when deriving convergence for time stepping schemes applied to fully nonlinear parabolic equations.In particular,we will illustrate our framework by deriving the convergence for splitting schemes and DIRK methods under minimal regularity assumptions.