A modified version of Urabe's implicit single-step method
\textit{M. Urabe}'s implicit single step method [Numer. Math. 15, 151-164 (1970; Zbl 0184.383)], which is a high-order predictor-corrector formula, is modified to have Milne-type estimator for local truncation error. The A-stability is also shown for the original and modified methods. The modified method with the modifier by the a posteriori estimator is suitable for non-stiff problems.
Milne-type estimator for local truncation error
scientific article; zbMATH DE number 4016067