Skip to main content
SpringerLink
Log in

On the efficiency of some difference schemes for problems of nonlinear interaction of optical radiation with a semiconductor

  • Numerical Methods
  • 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. Smith, R.A., Semiconductors, New York: Cambridge University, 1978. Translated under the title Poluprovodniki, Moscow: Mir, 1982.

    MATH  Google Scholar 

  2. Bonch-Bruevich, V.L. and Kalashnikov, S.G., Fizika popuprovodnikov (Physics of Semiconductors), Moscow: Nauka, 1990.

    Google Scholar 

  3. Marchuk, G.I., Metody rasshchepleniya (Decomposition Methods), Moscow: Nauka, 1988.

    MATH  Google Scholar 

  4. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Difference Schemes), Moscow: Nauka, 1989.

    MATH  Google Scholar 

  5. Liu, X., Qian, L.J., and Wise, F.W., Phys. Rev. Lett., 1999, vol. 82, no. 23, pp. 4631–4634.

    Article  Google Scholar 

  6. Conti, C., Trillo, S., Di. Trapani, P., et al., J. Opt. Soc. Am. B, 2002, vol. 19, no. 4, pp. 852–859.

    Google Scholar 

  7. Ashihara, S., Nishina, J., Shimura, T., et al., J. Opt. Soc. Am. B, 2002, vol. 19, no. 10, pp. 2505–2510.

    Google Scholar 

  8. Karamzin, Yu. N. and Zakharova, I. G., Russian J. Numer. Anal. Math. Modelling, 1996, vol. 11, no. 6, pp. 477–486.

    Article  MATH  MathSciNet  Google Scholar 

  9. Il’in, V.P., Chislennye metody resheniya zadach elektrofiziki (Numerical Methods for Problems of Electrophysics), Moscow: Nauka, 1985.

    Google Scholar 

  10. Zakharova, I.G., Karamzin, Yu.N., and Trofimov, V.A. Decomposition Methods in Problems of Nonlinear Optics, Preprint IPM, Moscow, 1989.

  11. Volkov, A.G., Trofimov, V.A., and Tereshin, E.B., Differ. Uravn., 2005, vol. 41, no. 7, pp. 908–917.

    MATH  MathSciNet  Google Scholar 

  12. Loginova, M.M. and Trofimov, V.A., Zh. Vychisl. Mat. Mat. Fiz., 2005, vol. 45, no. 12, pp. 2185–2196.

    MathSciNet  MATH  Google Scholar 

  13. Varentsova, S.A., Loginova, M.M., and Trofimov, V.A., Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2003, no. 1, pp. 20–27.

  14. Loginova, M.M. and Trofimov, V.A., Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2004, no. 1, pp. 10–16.

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    M. M. Loginova & V. A. Trofimov

Authors
  1. M. M. Loginova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Trofimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © M.M. Loginova, V.A. Trofimov, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 8, pp. 1123–1131.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loginova, M.M., Trofimov, V.A. On the efficiency of some difference schemes for problems of nonlinear interaction of optical radiation with a semiconductor. Diff Equat 42, 1189–1198 (2006). https://doi.org/10.1134/S0012266106080131

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266106080131

Keywords

Search

Navigation