Skip to main content
SpringerLink
Log in

A Class of Additive Methods for Nonlinear Multidimensional Problems of Mathematical Physics

  • Published:
Differential Equations Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. Samarskii, A.A., Vvedenie v teoriyu raznostnykh skhem (Introduction to the Theory of Finite-Difference Approximations), Moscow, 1971.

  2. Yanenko, N.N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki (The Fractional Step Method for Multidimensional Problems of Mathematical Physics), Novosibirsk, 1967.

  3. Marchuk, G.I., Metody vychislitel'noi matematiki (Methods of Computational Mathematics), Moscow, 1989.

  4. Marchuk, G.I., Metody rasshchepleniya (Decomposition Methods), Moscow, 1988.

  5. Samarskii, A.A. and Vabishchevich, P.N., Additivnye skhemy dlya zadach matematicheskoi fiziki (Additive Schemes for Problems of Mathematical Physics), Moscow, 1999.

  6. Abrashin, V.N., Differents. Uravn., 1990, vol. 26, no. 2, pp. 313–323.

    Google Scholar 

  7. Abrashin, V.N. and Mukha, V.A., Differents. Uravn., 1992, vol. 28, no. 10, pp. 1786–1799.

    Google Scholar 

  8. Abrashin, V.N. and Vabishchevich, P.N., Differents. Uravn., 1998, vol. 34, no. 7, pp. 1666–1674.

    Google Scholar 

  9. Abrashin, V.N. and Yakubenya, A.N., Differents. Uravn., 1990, vol. 26, no. 6, pp. 1055–1066.

    Google Scholar 

  10. Zhadaeva, N.G., Differents. Uravn., 1992, vol. 28, no. 7, pp. 1218–1230.

    Google Scholar 

  11. Abrashin, V.N. and Zhadaeva, N.G., in Second Internat. Conference. “Finite-difference methods: theory and application”, Minsk, 1998, vol. 1, pp. 12–26.

    Google Scholar 

  12. Douglas, J. and Rachford, H., Trans. Amer. Math. Soc., 1956, vol. 82, pp. 421–439.

    Google Scholar 

  13. Abrashin, V.N., Dokl. Akad. Nauk SSSR, 1973, vol. 17, no. 11, pp. 910–912.

    Google Scholar 

  14. Abrashin, V.N., Differents. Uravn., 1973, vol. 9, no. 11, pp. 2029–2040.

    Google Scholar 

  15. Abrashin, V.N., Differents. Uravn., 1975, vol. 11, no. 2, pp. 294–308.

    Google Scholar 

  16. Abrashin, V.N. and Mukha, V.A., Many-Component Finite-Difference Schemes of the Type of the Alternating Direction Method for Nonstationary Problems of Mathematical Physics, Preprint Inst. for Math. Ac. Sci. BSSR, Minsk, 1991, no. 23(473).

    Google Scholar 

  17. Zel'dovich, Ya.B. and Raizer, Yu.P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii (Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena), Moscow, 1965.

  18. Samarskii, A.A. and Sobol', I.M., Zh. Vychislit. Mat. Mat. Fiz., 1963, vol. 3, no. 4, pp. 702–720.

    Google Scholar 

  19. Abrashin, V.N., Differents. Uravn., 1999, vol. 35, no. 2, pp. 214–224.

    Google Scholar 

  20. Abrashin, V.N., Dokl. Akad. Nauk BSSR, 1975, vol. 19, no. 10, pp. 869–871.

    Google Scholar 

  21. Abrashin, V.N., Dokl. Akad. Nauk SSSR, 1976, vol. 230, no. 4, pp. 753–756.

    Google Scholar 

  22. Abrashin, V.N. and Zhadaeva, N.G., Differents. Uravn., 2002, vol. 38, no. 7, pp. 907–917.

    Google Scholar 

  23. Abrashin, V.N. and Zhadaeva, N.G., in Differents. uravneniya i ikh primenenie (Differential Equations and Their Applications), Vilnius, 1988, issue 43, pp. 22–30. DIFFERENTIAL EQUATIONS Vol. 39 No. 7 2003

Download references

Author information

Authors and Affiliations

  1. National Academy of Sciences, Institute for Mathematics, Minsk, Belarus

    V. N. Abrashin

Authors
  1. V. N. Abrashin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abrashin, V.N. A Class of Additive Methods for Nonlinear Multidimensional Problems of Mathematical Physics. Differential Equations 39, 926–935 (2003). https://doi.org/10.1023/B:DIEQ.0000009188.83312.3e

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000009188.83312.3e

Keywords

Search

Navigation