We want to address the basic question if the results of Chapter 6 for the convergence of the Newton-Picard LISA can be extended to general one-shot one-step methods. We shall explain this class of problems and see that in the general case no such result as Theorem 6.7 for the model problem (6.1) is possible. For completeness we quote large passages of the article Bock et al.  with modifications concerning references to other parts of this thesis.
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