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A stability criterion for a difference scheme in a nonlocal heat conduction problem

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References

  1. N. I. Ionkin, A Problem for Heat Conduction Equation with Nonclassic (Nonlocal) Edge Condition, Preprint No. 14, (Numerikus Modzerek, Budapest, 1979).

    Google Scholar 

  2. N. I. Ionkin and V. A. Morozova, “Stability of Difference Schemes with Nonlocal Boundary Conditions,” Vestn. Mosk. Univ., Ser. 15., Vychisl. Mat. Kibern., 3, 19–23 (2000).

    Google Scholar 

  3. A. V. Goolin, N. I. Ionkin, and V. A. Morozova, “Difference Schemes with Nonlocal Boundary Conditions,” Comput. Methods in Appl. Math. 1(1), 62–71 (2001).

    MATH  Google Scholar 

  4. A. V. Gulin and V. A. Morozova, “Stability of a Nonlocal Difference Boundary Value Problem,” Differents. Uravneniya 39(7), 912–917 (2003).

    Google Scholar 

  5. A. V. Gulin, N. I. Ionkin, and V. A. Morozova, “Difference Schemes for Nonlocal Problems,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 1, 40–51 (2005) [Russian Mathematics 49 (1), 36–46 (2005)].

  6. A. A. Samarskii, Theory of Difference Schemes (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  7. A. A. Samarskii and A. V. Gulin, Stability of Difference Schemes (URSS, Moscow, 2004) [in Russian].

    Google Scholar 

  8. A. V. Gulin, Symmetrizable Difference Schemes (MAKS-Press, Moscow, 2004) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Moscow State University, Leninskie gory GSP-2, Moscow, 119992, Russia

    A. V. Gulin, N. I. Ionkin & V. A. Morozova

Authors
  1. A. V. Gulin
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  2. N. I. Ionkin
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  3. V. A. Morozova
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Additional information

Original Russian Text © A.V. Gulin, N.I. Ionkin, V.A. Morozova, 2007, published in Izvestiya Vysshikh Uchebnykh Zavedenii Matematika, 2007, No. 6, pp. 21–28.

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Gulin, A.V., Ionkin, N.I. & Morozova, V.A. A stability criterion for a difference scheme in a nonlocal heat conduction problem. Russ Math. 51, 18–25 (2007). https://doi.org/10.3103/S1066369X07060035

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  • DOI: https://doi.org/10.3103/S1066369X07060035

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