Volume 3, Issue 1
The Deferred Correction Procedure for Linear Multistep Formulas
DOI:

J. Comp. Math., 3 (1985), pp. 41-49

Published online: 1985-03

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• Abstract

A general approach of deferred correction procedure based on linear multistep formulas is proposed .Several deferred correction procedures based on backward differentiation formulas, which allow us to develop L-stable algorithms of order up to 4 and $L(\alpha)$-stable algorithms of order up to 7, are derived.Preliminary numberical results indicate that this approach is indeed efficient.

• Keywords

@Article{JCM-3-41, author = {Geng Sun}, title = {The Deferred Correction Procedure for Linear Multistep Formulas}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {1}, pages = {41--49}, abstract = { A general approach of deferred correction procedure based on linear multistep formulas is proposed .Several deferred correction procedures based on backward differentiation formulas, which allow us to develop L-stable algorithms of order up to 4 and $L(\alpha)$-stable algorithms of order up to 7, are derived.Preliminary numberical results indicate that this approach is indeed efficient. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9606.html} }
TY - JOUR T1 - The Deferred Correction Procedure for Linear Multistep Formulas AU - Geng Sun JO - Journal of Computational Mathematics VL - 1 SP - 41 EP - 49 PY - 1985 DA - 1985/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9606.html KW - AB - A general approach of deferred correction procedure based on linear multistep formulas is proposed .Several deferred correction procedures based on backward differentiation formulas, which allow us to develop L-stable algorithms of order up to 4 and $L(\alpha)$-stable algorithms of order up to 7, are derived.Preliminary numberical results indicate that this approach is indeed efficient.