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Matematicheskoe modelirovanie, 1994, Volume 6, Number 11, Pages 128–138 (Mi mm1934)  
This article is cited in 6 scientific papers (total in 6 papers)

Computational methods and algorithms

Optimal scheme for ode solver ROS4

D. S. Guzhev, N. N. Kalitkin

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (1051 kB) Citations (6)
Abstract: Different schemes for stiff ODE systems are compared, which are included in ROS4 code. Properties of monotony, L-stability and interpolativeness of these schemes are investigated. The parameter is chosen, leading to the L-stable scheme, optimal in this class. Till now, this parameter was not among recommended ones.
Received: 16.08.1994
Bibliographic databases:
Language: Russian
Citation: D. S. Guzhev, N. N. Kalitkin, “Optimal scheme for ode solver ROS4”, Mat. Model., 6:11 (1994), 128–138
Citation in format AMSBIB
\Bibitem{GuzKal94}
\by D.~S.~Guzhev, N.~N.~Kalitkin
\paper Optimal scheme for ode solver ROS4
\jour Mat. Model.
\yr 1994
\vol 6
\issue 11
\pages 128--138
\mathnet{http://mi.mathnet.ru/mm1934}
\zmath{https://zbmath.org/?q=an:0978.65505}
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  • https://www.mathnet.ru/eng/mm1934
  • https://www.mathnet.ru/eng/mm/v6/i11/p128
    • This publication is cited in the following 6 articles:
    1. M. P. Galanin, A. V. Isaev, S. A. Konev, “Mathematical model for soot formation under toluol diffusion combustion”, Math. Models Comput. Simul., 13:1 (2021), 134–143  mathnet  crossref  crossref
    2. M. P. Galanin, A. V. Isaev, S. A. Konev, “O modelirovanii obrazovaniya sazhi pri diffuzionnom gorenii uglevodorodnykh topliv”, Preprinty IPM im. M. V. Keldysha, 2019, 110, 32 pp.  mathnet  crossref
    3. A. B. Alshin, E. A. Alshina, “About one new two-stages Rosenbrock scheme for differential-algebraic systems”, Math. Models Comput. Simul., 3:5 (2011), 604–618  mathnet  crossref  mathscinet
    4. L. M. Skvortsov, “Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3”, Comput. Math. Math. Phys., 50:6 (2010), 993–1005  mathnet  crossref  mathscinet  adsnasa  isi
    5. N. N. Kalitkin, “Tochnye znacheniya optimumov dlya parametra skhem ROS4”, Matem. modelirovanie, 19:11 (2007), 96–98  mathnet  zmath
    6. A. B. Alshin, E. A. Alshina, N. N. Kalitkin, A. B. Koryagina, “Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems”, Comput. Math. Math. Phys., 46:8 (2006), 1320–1340  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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