Implementation of defect correction methods for stiff differential equations

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There is a large gap between the theoretical results about iterated defect corrections (IDeC) and practical implementations of IDeC methods for stiff systems. This paper tries to close this gap by providing general principles which are essential for the construction of efficient IDeC codes. Numerical results gathered with one particular IDeC based experimental code furnish evidence of the inherent power of the defect correction concept in the context of stiff systems of ordinary differential equations.