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Choosing the parameter of a modified additive-averaged splitting algorithm

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Cybernetics and Systems Analysis Aims and scope

The problem-solving time and the solution accuracy are expressed as functions of a parameter. An optimization problem of choosing the parameter using a “time cost–solution accuracy” criterion is considered. A Pareto-optimal set of solutions is obtained. The best value of the parameter is chosen by the ideal-point method.

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References

  1. V. A. Prusov, A. E. Doroshenko, and R. I. Chernysh, “A method for numerical solution of a multidimensional convection-diffusion problem,” Cybernetics and Systems Analysis, No. 1, 89–95 (2009).

  2. D. G. Gordeziani and G. V. Meladze, “Using one-dimensional equations to model the third boundary-value problem for multidimensional parabolic equations in an arbitrary domain,” Zh. Vych. Mat. Mat. Fiz., 14, No. 1, 246–250 (1974).

    MATH  MathSciNet  Google Scholar 

  3. A. A. Samarskii and P. N. Vabishchevich, Additive Schemes for Problems of Mathematical Physics [in Russian], Nauka, Moscow (2001).

    Google Scholar 

  4. A. E. Doroshenko, Lectures on Parallel Computational Systems [in Russian], KM Akademiya, Kyiv (2003).

    Google Scholar 

  5. R. W. Hockney and C. R. Jesshope, Parallel Computers 2: Architecture, Programming and Algorithms, Adam Hilger, Bristol (1981).

    Google Scholar 

  6. A. S. Antonov, Parallel Programming using the MPI Technology: A Handbook [in Russian], Izd. MGU, Moscow (2004).

    Google Scholar 

  7. V. V. Podinovskii and V. D. Nogin, Pareto Optimal Solutions of Multicriterion Problems [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  8. V. D. Nogin, Decision Making in a Multicriterion Medium: A Numerical Approach [in Russian], Fizmatlit, Moscow (2004).

    Google Scholar 

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    V. A. Prusov

  2. National Technical University of Ukraine “Kyiv Polytechnical Institute”, Kyiv, Ukraine

    A. E. Doroshenko

  3. Ukrainian Scientific and Research Institute of Hydrometeorology, Kyiv, Ukraine

    R. I. Chernysh

Authors
  1. V. A. Prusov
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  2. A. E. Doroshenko
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  3. R. I. Chernysh
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Corresponding author

Correspondence to A. E. Doroshenko.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 98–105, July–August 2009.

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Prusov, V.A., Doroshenko, A.E. & Chernysh, R.I. Choosing the parameter of a modified additive-averaged splitting algorithm. Cybern Syst Anal 45, 589–596 (2009). https://doi.org/10.1007/s10559-009-9126-0

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  • DOI: https://doi.org/10.1007/s10559-009-9126-0

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