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Blokhin, A.M. and Aloev, R.D. (1993) Energy Integrals and Their Applications to the Study of the Stability of the Difference Schemes. Novosibirsk State University Press, Novosibirsk, 224.

has been cited by the following article:

• TITLE: A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems

  AUTHORS: R. D. Aloev, Z. K. Eshkuvatov, M. U. Khudayberganov, N. M. A. Nik Long

  KEYWORDS: Hyperbolic Systems, Stability, Quasilinear Equations

  JOURNAL NAME: Applied Mathematics, Vol.9 No.7, July 13, 2018

  ABSTRACT: The class of three-dimensional quasilinear hyperbolic systems is studied. The initial boundary value problem for this class of quasilinear hyperbolic systems is given. By constructing the energy’s integral, a priori estimate for the solution of the initial boundary value problem is obtained. Difference scheme is constructed and an a priori estimate for its solution is obtained. Numerical example exhibits the efficiency and accuracy of the method.