A modified version of Urabe's implicit single-step method
type: Item
instance of: scholarly article
title: A modified version of Urabe's implicit single-step method
zbMATH Open document ID: 0625.65057
DOI: 10.1016/0377-0427(87)90149-X
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: \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.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4016067
zbMATH Keywords: implicit single step method
zbMATH Keywords: high-order predictor-corrector formula
zbMATH Keywords: Milne-type estimator for local truncation error
zbMATH Keywords: A-stability
zbMATH Keywords: non-stiff problems
author: Taketomo Mitsui
MaRDI profile type: Publication
cites work: High order methods for the numerical integration of ordinary differential equations
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cites work: An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations
full work available at URL: 0377-0427(87)90149-x
OpenAlex ID: W2083228260
description: scientific article; zbMATH DE number 4016067