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Matematicheskoe modelirovanie, 1995, Volume 7, Number 5, Pages 8–11 (Mi mm1692)  

This article is cited in 17 scientific papers (total in 17 papers)

International Conference "Differential Equations and Applications" (Saransk, December, 20–22, 1994)

Numerical methods of solution of stiff systems

N. N. Kalitkin

Institute for Mathematical Modelling, Russian Academy of Sciences
Bibliographic databases:
Language: Russian
Citation: N. N. Kalitkin, “Numerical methods of solution of stiff systems”, Mat. Model., 7:5 (1995), 8–11
Citation in format AMSBIB
\Bibitem{Kal95}
\by N.~N.~Kalitkin
\paper Numerical methods of solution of stiff systems
\jour Mat. Model.
\yr 1995
\vol 7
\issue 5
\pages 8--11
\mathnet{http://mi.mathnet.ru/mm1692}
\zmath{https://zbmath.org/?q=an:0974.65506}
Linking options:
  • https://www.mathnet.ru/eng/mm1692
  • https://www.mathnet.ru/eng/mm/v7/i5/p8
  • This publication is cited in the following 17 articles:
    1. D. S. Moiseeva, E. L. Stupitskii, “Fizicheskie issledovaniya i chislennoe modelirovanie vozdeistviya moschnogo potoka radioizlucheniya na nizhnyuyu ionosferu. Chast 1. Kratkii obzor sostoyaniya voprosa i postanovka zadachi”, Kompyuternye issledovaniya i modelirovanie, 15:3 (2023), 619–637  mathnet  crossref
    2. M. O. Korpusov, A. K. Matveeva, D. V. Lukyanenko, “Diagnostika mgnovennogo razrusheniya resheniya v nelineinom uravnenii teorii voln v poluprovodnikakh”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:4 (2019), 104–113  mathnet  crossref
    3. M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities”, Izv. Math., 82:2 (2018), 283–317  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Trofimov V.A. Trykin E.M., “Implicit Finite-Difference Schemes, Based on the Rosenbrock Method, For Nonlinear Schrodinger Equation With Artificial Boundary Conditions”, PLoS One, 13:10 (2018), e0206235  crossref  isi  scopus
    5. M. O. Korpusov, D. V. Lukyanenko, E. A. Ovsyannikov, A. A. Panin, “Lokalnaya razreshimost i razrushenie resheniya odnogo uravneniya s kvadratichnoi nekoertsitivnoi nelineinostyu”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 10:2 (2017), 107–123  mathnet  crossref  elib
    6. N. T. Levashova, A. A. Melnikova, D. V. Lukyanenko, A. E. Sidorova, S. V. Bytsyura, “Modelirovanie urboekosistem kak protsessov samoorganizatsii”, Matem. modelirovanie, 29:11 (2017), 40–52  mathnet  elib
    7. E. N. Aristova, B. V. Rogov, “About implementation of boundary conditions in the bicompact schemes for a linear transport equation”, Math. Models Comput. Simul., 5:3 (2013), 199–207  mathnet  crossref  mathscinet
    8. Yu. A. Sigunov, I. R. Didenko, “Kompleksnaya realizatsiya neyavnykh odnostadiinykh metodov do 4-go poryadka tochnosti pri chislennom integrirovanii sistem ODU”, Matem. modelirovanie, 23:1 (2011), 87–99  mathnet  mathscinet
    9. 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
    10. Pilipenko A.M., Biryukov V.N., “Gibridnye metody resheniya obyknovennykh differentsialnykh uravnenii zhestkikh i/ili kolebatelnykh tsepei.”, Radiotekhnika, 2011, no. 1, 11–15 Hybrid methods for solution of ordinary differential equations of stiff and/or oscillating circuits  elib
    11. Savkina R.K., Sizov F.F., Smirnov A.B., Deriglazov V.A., Yakushev M.V., “Neokhlazhdaemyi fotovoltaicheskii preobrazovatel ik-diapazona na osnove cd_{\it{kh}}hg_{1-\it{kh}}te/si (\it{kh} = 0,3)”, Prikladnaya fizika, 2011, no. 4, 58–64 Ir uncooled photovoltaic cell on basis of cd<sub>С…</sub>hg<sub>1-С…</sub>te/si (С… = 0.3)  elib
    12. L. M. Skvortsov, “Model equations for accuracy investigation of Runge–Kutta methods”, Math. Models Comput. Simul., 2:6 (2010), 800–811  mathnet  crossref  mathscinet
    13. V. N. Biryukov, “Ispolzovanie formul differentsirovaniya nazad v odnoshagovom metode vtorogo poryadka tochnosti”, Matem. modelirovanie, 21:10 (2009), 107–110  mathnet  zmath
    14. A. B. Alshin, E. A. Alshina, A. G. Limonov, “Automatic order conditions symbolic derivation for two-stage complex Rosenbrock scheme”, Math. Models Comput. Simul., 2:4 (2010), 493–503  mathnet  crossref  mathscinet  zmath
    15. A. B. Alshin, E. A. Alshina, A. G. Limonov, “Two-stage complex Rosenbrock schemes for stiff systems”, Comput. Math. Math. Phys., 49:2 (2009), 261–278  mathnet  crossref  mathscinet  zmath  isi
    16. Al'shin, AB, “Numerical solution of superstiff differential-algebraic systems”, Doklady Mathematics, 73:3 (2006), 460  crossref  mathscinet  isi
    17. 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
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