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Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation

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References

  1. X. Antoine, A. Arnold, C. Besse, et al., Commun. Comp. Phys. 4, 729–796 (2008).

    MathSciNet  Google Scholar 

  2. A. Arnold, VLSI Design 6, 313–319 (1998).

    Article  Google Scholar 

  3. M. Ehrhardt and A. Arnold, Riv. Mat. Univ. Parma 6, 57–108 (2001).

    MathSciNet  Google Scholar 

  4. A. Arnold, M. Ehrhardt, and I. Sofronov, Commun. Math. Sci. 1, 501–556 (2003).

    MathSciNet  MATH  Google Scholar 

  5. B. Ducomet and A. Zlotnik, Commun. Math. Sci. 4, 741–766 (2006).

    MathSciNet  MATH  Google Scholar 

  6. B. Ducomet and A. Zlotnik, Commun. Math. Sci. 5, 267–298 (2007).

    MathSciNet  MATH  Google Scholar 

  7. B. Ducomet, A. Zlotnik, and I. Zlotnik, Kinetic Related Models 2, 151–179 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  8. A. A. Zlotnik and I. A. Zlotnik, Dokl. Math. 83, 12–18 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  9. I. A. Zlotnik, Comput. Math. Math. Phys. 51, 355–376 (2011).

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Higher Mathematics, Faculty of Economics, National Research University Higher School of Economics, Myasnitskaya ul. 20, Moscow, 101000, Russia

    A. A. Zlotnik

  2. Department of Mathematical Modeling, Moscow Power Engineering Institute (Technical University), Krasnokazarmennaya ul. 14, Moscow, 111250, Russia

    A. A. Zlotnik & I. A. Zlotnik

Authors
  1. A. A. Zlotnik
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  2. I. A. Zlotnik
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Correspondence to A. A. Zlotnik.

Additional information

Original Russian Text © A.A. Zlotnik, I.A. Zlotnik, 2012, published in Doklady Akademii Nauk, 2012, Vol. 447, No. 2, pp. 130–135.

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Zlotnik, A.A., Zlotnik, I.A. Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation. Dokl. Math. 86, 750–755 (2012). https://doi.org/10.1134/S1064562412060130

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