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Volume 3, Issue 4
The High Order Exponentially Fitted Nonequidistant Extrapolation Methods for Stiff Systems

Jia-Xiang Xiang

J. Comp. Math., 3 (1985), pp. 342-350.

Published online: 1985-03

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  • Abstract

A class of exponentially fitted nonequidistant extrapolation methods based on an L-stable linear single-step formula are studied. Theorems about the extrapolation coefficients are given. These methods keep good numerical stability "quasi-L-stability", while raising the accuracy of the original formula.

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@Article{JCM-3-342, author = {Jia-Xiang Xiang}, title = {The High Order Exponentially Fitted Nonequidistant Extrapolation Methods for Stiff Systems}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {4}, pages = {342--350}, abstract = {

A class of exponentially fitted nonequidistant extrapolation methods based on an L-stable linear single-step formula are studied. Theorems about the extrapolation coefficients are given. These methods keep good numerical stability "quasi-L-stability", while raising the accuracy of the original formula.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9630.html} }
TY - JOUR T1 - The High Order Exponentially Fitted Nonequidistant Extrapolation Methods for Stiff Systems AU - Jia-Xiang Xiang JO - Journal of Computational Mathematics VL - 4 SP - 342 EP - 350 PY - 1985 DA - 1985/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9630.html KW - AB -

A class of exponentially fitted nonequidistant extrapolation methods based on an L-stable linear single-step formula are studied. Theorems about the extrapolation coefficients are given. These methods keep good numerical stability "quasi-L-stability", while raising the accuracy of the original formula.

Jia-Xiang Xiang. (1985). The High Order Exponentially Fitted Nonequidistant Extrapolation Methods for Stiff Systems. Journal of Computational Mathematics. 3 (4). 342-350. doi:
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