Skip to main content
Log in

On strong monotonicity of three-point difference schemes

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. P. D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Soc. Industr. and Appl. Math., Philadelphia (1972).

    Google Scholar 

  2. B. L. Rozhdestvenskiî and N. N. Yanenko, Systems of Quasilinear Equations and Their Applications to Gas Dynamics [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. A. F. Voevodin and S. M. Shugrin, Methods for Solving One-Dimensional Evolution Systems [in Russian], Nauka, Novosibirsk (1993).

    Google Scholar 

  4. S. K. Godunov, “A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics,” Mat. Sb.,47, No. 3, 271–306 (1959).

    Google Scholar 

  5. A. Harten, “High resolution schemes for hyperbolic conservation laws,” J. Comput. Phys.,49, No. 3, 357–393 (1983).

    Article  MATH  Google Scholar 

  6. K. V. Vyaznikov, V. F. Tishkin, and A. P. Favorskiî, “Construction of high resolution monotone difference schemes for systems of equations of hyperbolic type,” Mat. Model.,1, No. 5, 95–120 (1989).

    MATH  Google Scholar 

  7. J. P. Vila, “An analysis of a class of second-order accurate Godunov-type schemes,” SIAM J. Numer. Anal.,26, No. 4, 830–853 (1989).

    Article  MATH  Google Scholar 

  8. V. I. Pinchukov, “Construction of arbitrary accuracy monotone schemes of predictor-corrector type,” Mat. Model,3, No. 9, 95–103 (1991).

    Google Scholar 

  9. V. V. Ostapenko, “On monotonicity of difference schemes,” Sibirsk. Mat. Zh. (to appear).

  10. A. S. Shvedov, “Comonotone approximation of functions by polynomials,” Dokl. Akad. Nauk SSSR,250, No. 1, 39–42 (1980).

    Google Scholar 

  11. A. S. Shvedov, “Co-approximation of piecewise monotone functions by polynomials,” Mat. Zametki,30, No. 6, 839–846 (1981).

    MATH  Google Scholar 

Download references

Authors

Additional information

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 6, pp. 1357–1367, November–December, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ostapenko, V.V. On strong monotonicity of three-point difference schemes. Sib Math J 39, 1174–1183 (1998). https://doi.org/10.1007/BF02674128

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674128

Keywords

Navigation