Iterated Defect Correction for the Solution of Singular Initial Value Problems
Iterated Defect Correction for the Solution of Singular Initial Value Problems
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DOI：
10.1137/s0036142900368095
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发表时间：
2000-11
期刊：
影响因子：
--
通讯作者：
O. Koch;E. Weinmüller
中科院分区：
文献类型：
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作者：
O. Koch;E. Weinmüller
We investigate the convergence properties of the iterated defect correction (IDeC) method based on the implicit Euler rule for the solution of singular initial value problems with a singularity of the first kind. We show that the method retains its classical order of convergence, which means that the sequence of approximations obtained during the iteration shows gradually growing order of convergence limited by the smoothness of the data and technical details of the procedure.
