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(2,1)-Method for solving stiff nonautonomous problems

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Abstract

An L-stable (2,1)-method with second-order accuracy is developed for solving stiff nonautonomous problems. At each step, the right-hand side of the system, as well as Jacobian matrix decomposition are evaluated only once. Efficiency of the integration method is illustrated using ring modulator calculation as an example.

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References

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Authors and Affiliations

  1. Institute of Computational Modelling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia

    E. A. Novikov

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  1. E. A. Novikov
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Original Russian Text © E.A. Novikov, 2008, published in Sistemy Upravleniya i Informatsionnye Tekhnologii, 2008, No. 2, pp. 12–15.

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Novikov, E.A. (2,1)-Method for solving stiff nonautonomous problems. Autom Remote Control 73, 191–197 (2012). https://doi.org/10.1134/S0005117912010183

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  • DOI: https://doi.org/10.1134/S0005117912010183

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