W. Auzinger, J.P. Monnet:
"IDeC-convergence independent of error asymptotics";
BIT Numerical Mathematics, 27 (1987), S. 350 - 367.

Kurzfassung englisch:
The present paper is concerned with the method of Iterated Defect Correction (IDeC) for two-point boundary value problems. We investigate the contractive behavior of the IDeC iteration in a completely discrete setting. Our results (which are a generalization of "classical" results based on asymptotic expansions of the discretization error) imply the stability of the collocation method which defines the fixed point of the IDeC iteration.

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