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A class of two-layer difference schemes for nonlinear hyperbolic equations

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References

  1. Yu. P. Popov and A. A. Samarskii, “Completely conservative difference schemes,” Zh. Vychisl. Mat. Mat. Fiz.,9, No. 4, 953–958 (1969).

    Google Scholar 

  2. V. N. Sinyaev, “One principle of construction of finite-difference schemes based on the law of conservation of total energy,” Chisl. Metody Mekh. Splosh. Sredy,5, No. 2, 108–115 (1974).

    Google Scholar 

  3. V. N. Abrashin, “Stable difference schemes for quasilinear equations of mathematical physics,” Diff. Uravn.,18, No. 11, 1967–1971 (1982).

    Google Scholar 

  4. A. D. Lyashko and E. M. Fedotov, “Correctness of one class of conservative nonlinear operator-difference schemes,” Izv. Vyssh. Uchebn. Zaved., Matem., No. 10, 47–55 (1985).

    Google Scholar 

  5. A. A. Samarskii, An Introduction to the Theory of Difference Schemes [in Russian], Moscow (1971).

  6. J.-L. Lions, Some Methods of Solution of Nonlinear Boundary-Value Problems [Russian translation], Moscow (1972).

  7. M. M. Karchevskii and A. D. Lyashko, Difference Schemes for Nonlinear Problems of Mathematical Physics [in Russian], Kazan' (1976).

  8. H. Weyl, “Shock waves in arbitrary fluids,” Comm. Pure Appl. Math.,2, No. 2–3, 103–122 (1949).

    Google Scholar 

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Translated from Issledovaniya po Prikladnoi Matematike, No. 17, pp. 129–146, 1990.

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Fedotov, E.M. A class of two-layer difference schemes for nonlinear hyperbolic equations. J Math Sci 71, 2805–2816 (1994). https://doi.org/10.1007/BF02110589

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