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L-STABLE (4,2)-METHOD OF THE FOURTH ORDER FOR SOLVING STIFF PROBLEMS
- Authors: Novikov E.1
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Affiliations:
- the Institute of Computational Modelling, SB RAS
- Issue: Vol 17, No 8 (2011)
- Pages: 59-68
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4807
- DOI: https://doi.org/10.18287/2541-7525-2011-17-8-59-68
- ID: 4807
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Abstract
(M,k)-methods for solving stiff problems, in which on each step two times the right-hand side of the system of differential equations is calculated are investigated. It is shown that the maximum order of accuracy of the L-stable (m,2)-method is equal to four. (4,2)-method of maximal order is built.
About the authors
E.A. Novikov
the Institute of Computational Modelling, SB RAS
Author for correspondence.
Email: morenov.sv@ssau.ru
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