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Matematicheskoe modelirovanie, 1991, Volume 3, Number 9, Pages 95–103 (Mi mm2274)  
This article is cited in 16 scientific papers (total in 16 papers)

Computational methods and algorithms

On construction of monotone predictor-corrector schemes of an arbitrary order of aproximation

V. I. Pinchukov

Institute of Computing Technologies, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (800 kB) Citations (16)
Abstract: Correction algorithm for implicit conservative high accuracy schemesis descrebed. Time step condition providing monotonisity of corrected schemes is presented. Sixth order approximation scheme for onedimensional passive convection equation is considered as an example. Numerical results for propagation of different form disturbances aredescribed.
Received: 20.03.1991
Bibliographic databases:
UDC: 519.6+533.7
Language: Russian
Citation: V. I. Pinchukov, “On construction of monotone predictor-corrector schemes of an arbitrary order of aproximation”, Mat. Model., 3:9 (1991), 95–103
Citation in format AMSBIB
\Bibitem{Pin91}
\by V.~I.~Pinchukov
\paper On construction of monotone predictor-corrector schemes of an arbitrary order of aproximation
\jour Mat. Model.
\yr 1991
\vol 3
\issue 9
\pages 95--103
\mathnet{http://mi.mathnet.ru/mm2274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1157074}
\zmath{https://zbmath.org/?q=an:1189.65210}
Linking options:
  • https://www.mathnet.ru/eng/mm2274
  • https://www.mathnet.ru/eng/mm/v3/i9/p95
    • This publication is cited in the following 16 articles:
    1. A. M. Lipanov, S. A. Karskanov, E. Yu. Izhboldin, “Reshenie nestatsionarnykh zadach aerodinamiki na osnove vychislitelnykh algoritmov vysokogo poryadka approksimatsii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2013, no. 3, 140–150  mathnet
    2. O. A. Kovyrkina, V. V. Ostapenko, “Asimptoticheskoe razlozhenie raznostnogo resheniya v okrestnosti silnogo razryva”, Vestn. NGU. Ser. matem., mekh., inform., 7:4 (2007), 49–73  mathnet
    3. O. A. Kovyrkina, V. V. Ostapenko, “Construction of asymptotics of a discrete solution based on nonclassical differential approximations”, Comput. Math. Math. Phys., 45:1 (2005), 83–103  mathnet  mathscinet  zmath  elib  elib
    4. N. M. Borisova, V. V. Ostapenko, “On accuracy of the shock wave computations by the shock-fitting method”, Comput. Math. Math. Phys., 43:10 (2003), 1437–1458  mathnet  mathscinet  zmath  elib
    5. V. I. Pinchukov, “A monotone nonlocal cubic spline”, Comput. Math. Math. Phys., 41:2 (2001), 180–186  mathnet  mathscinet  zmath
    6. A. F. Voevodin, V. V. Ostapenko, “O raschete preryvnykh voln v otkrytykh ruslakh”, Sib. zhurn. vychisl. matem., 3:4 (2000), 305–321  mathnet  zmath
    7. V. V. Ostapenko, “Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves”, Comput. Math. Math. Phys., 40:12 (2000), 1784–1800  mathnet  mathscinet  zmath  elib
    8. V. V. Ostapenko, “Strong monotonicity of finite-difference schemes for systems of conservation laws”, Comput. Math. Math. Phys., 39:10 (1999), 1619–1635  mathnet  mathscinet  zmath  elib
    9. V. V. Ostapenko, “Approksimatsiya uslovii Gyugonio yavnymi konservativnymi raznostnymi skhemami na nestatsionarnykh udarnykh volnakh”, Sib. zhurn. vychisl. matem., 1:1 (1998), 77–88  mathnet  mathscinet  zmath
    10. V. I. Pinchukov, “A compact sixth-order scheme for solving the Euler equations”, Comput. Math. Math. Phys., 38:10 (1998), 1648–1651  mathnet  mathscinet  zmath
    11. V. V. Ostapenko, “Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity”, Comput. Math. Math. Phys., 38:8 (1998), 1299–1311  mathnet  mathscinet  zmath
    12. V. V. Ostapenko, “On the strong monotonicity of nonlinear difference schemes”, Comput. Math. Math. Phys., 38:7 (1998), 1119–1133  mathnet  mathscinet  zmath
    13. V. V. Ostapenko, “Convergence of finite-difference schemes behind a shock front”, Comput. Math. Math. Phys., 37:10 (1997), 1161–1172  mathnet  mathscinet  zmath
    14. V. V. Ostapenko, “A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions”, Comput. Math. Math. Phys., 36:10 (1996), 1443–1451  mathnet  mathscinet  zmath  isi
    15. V. I. Pinchukov, “Flux correction in multidimensional problems of hyperbolic and parabolic types”, Comput. Math. Math. Phys., 36:4 (1996), 439–450  mathnet  mathscinet  zmath  isi
    16. V. I. Pinchukov, “The construction of monotone schemes of any order of approximation for one class of equation”, Comput. Math. Math. Phys., 34:11 (1994), 1483–1487  mathnet  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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