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

Geng Sun

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 numerical results indicate that this approach is indeed efficient.

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@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 numerical 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 numerical results indicate that this approach is indeed efficient.

Geng Sun. (1985). The Deferred Correction Procedure for Linear Multistep Formulas. Journal of Computational Mathematics. 3 (1). 41-49. doi:
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