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Testing the Multi-Step Single-Stage Method on Stiff Problems

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Cybernetics and Systems Analysis Aims and scope

Abstract

A multi-step single-stage method is considered, which allows one to integrate stiff differential equations and systems of equations with high accuracy and low computational costs. The examples show that the proposed method is in solving stiff problems as good as the best available methods. The calculation results allow us to determine the absolute stability domains for the multi-step single-stage method, where it is possible to vary integration step within a wide range while maintaining the computational stability of the method.

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Authors and Affiliations

  1. Ukrainian Hydrometeorological Institute of the State Emergency Service and National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. A. Prusov

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,”, Kyiv, Ukraine

    A. Yu. Doroshenko

Authors
  1. V. A. Prusov
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  2. A. Yu. Doroshenko
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Correspondence to A. Yu. Doroshenko.

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Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2020, pp. 97–105.

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Prusov, V.A., Doroshenko, A.Y. Testing the Multi-Step Single-Stage Method on Stiff Problems. Cybern Syst Anal 56, 81–88 (2020). https://doi.org/10.1007/s10559-020-00223-y

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  • DOI: https://doi.org/10.1007/s10559-020-00223-y

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