Skip to main content
SpringerLink
Log in

Error Estimates for Schemes of the Projection-Difference Method for Quasilinear Hyperbolic Equations

  • 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. Dupont, T., SIAM J. Numer. Anal., 1973, vol. 10, no. 5, pp. 880–889.

    Google Scholar 

  2. Baker, G.A., SIAM J. Numer. Anal., 1976, vol. 13, no. 4, pp. 564–576.

    Google Scholar 

  3. Geveci, T., Math. Comput., 1984, vol. 42, no. 166, pp. 393–415.

    Google Scholar 

  4. Zlotnik, A.A., in Vychislitel'nye protsessy i sistemy (Computational Processes and Systems), Moscow, 1991, issue 8, pp. 116–167.

  5. Zhelezovskii, S.E., Izv. Vyssh. Uchebn. Zaved. Matematika, 2002, no. 1, pp. 21–30.

  6. Dendy, J.E., Jr., SIAM J. Numer. Anal., 1975, vol. 12, no. 4, pp. 541–565.

    Google Scholar 

  7. Baker, G.A., Dougalis, V.A., and Karakashian, O., Nonlinear Anal., Theory, Meth. and Appl., 1980, vol. 4, no. 3, pp. 579–597.

    Google Scholar 

  8. Zhelezovskii, S.E. and Lyashko, A.D., Differents. Uravn., 2001, vol. 37, no. 7, pp. 941–949.

    Google Scholar 

  9. Lions, J.-L., Quelques méthodes de résolution des problèmes aux limites nonlinéaires, Paris: Dunod, 1969. Translated under the title Nekotorye metody resheniya nelineinykh kraevykh zadach, Moscow: Mir, 1972.

    Google Scholar 

  10. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Finite-Difference Approximations), Moscow, 1989.

  11. Samarskii, A.A. and Gulin, A.V., Ustoichivost' raznostnykh skhem (Stability of Finite-Difference Approximations), Moscow, 1973.

  12. Krein, S.G., Lineinye Differentsial'nye uravneniya v banakhovom prostranstve (Linear Differential Equa-tions in a Banach Space), Moscow, 1967.

  13. Morozov, N.F., Izv. Vyssh. Uchebn. Zaved. Matematika, 1965, no. 3, pp. 121–125.

  14. Kolmogorov, A.N. and Fomin, S.V., Elementy teorii funktsii i funktsional'nogo analiza (Elements of Theory of Functions and Functional Analysis), Moscow, 1981.

  15. Vorovich, I.I., Izv. Akad. Nauk SSSR. Ser. Mat., 1957, vol. 21, no. 6, pp. 747–784.

    Google Scholar 

  16. Zhelezovskii, S.E., Izv. Vyssh. Uchebn. Zaved. Matematika, 1998, no. 10, pp. 37–45.

  17. Beckenbach, E. and Bellman, R., Inequalities, Berlin, 1961. Translated under the title Neravenstva, Moscow: Mir, 1965.

    Google Scholar 

  18. Demidovich, V.B., Differents. Uravn., 1969, vol. 5, no. 7, pp. 1247–1255.

    Google Scholar 

  19. Ciarlet, Ph., The Finite Element Method for Elliptic Problems, Amsterdam: North-Holland, 1977. Translated under the title Metod konechnykh elementov dlya ellipticheskikh zadach, Moscow: Mir, 1980.

    Google Scholar 

  20. Mikhlin, S.G., Dokl. Akad. Nauk SSSR, 1956, vol. 106, no. 3, pp. 391–394.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saratov State Socioeconomic University, Saratov, Russia

    S. E. Zhelezovskii

Authors
  1. S. E. Zhelezovskii
    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

Zhelezovskii, S.E. Error Estimates for Schemes of the Projection-Difference Method for Quasilinear Hyperbolic Equations. Differential Equations 40, 883–891 (2004). https://doi.org/10.1023/B:DIEQ.0000046865.09088.4f

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000046865.09088.4f

Keywords

Search

Navigation