A modified version of Urabe's implicit single-step method
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摘要
Urabe's implicit single step method, 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.
论文关键词：Numerical initial value problems of ODE's,implicit single step method,PC method,a-posteriori error estimate,linear stability analysis
论文评审过程：Received 27 May 1986, Revised 23 December 1986, Available online 1 April 2002.
论文官网地址：https://doi.org/10.1016/0377-0427(87)90149-X
