Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project B3Numerical Analysis of equivariant evolution equations09-051 Raphael Kruse. It is shown how stochastic Itô-Taylor schemes for stochastic ordinary differential equations can be embedded into standard concepts of consistency, stability and convergence. An appropriate choice of function spaces and norms, in particular a stochastic generalization of Spijker's norm (1968), leads to two-sided estimates for the strong error of convergence under the usual assumptions.
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