A Discrete Analog of the Lyapunov Function for Hyperbolic Systems
Rakhmatillo AloevNational University of Uzbekistan named after M. UlugbekMirzoali KhudayberganovNational University of Uzbekistan named after M. Ulugbek
ABI
Аннотация
We study the difference splitting scheme for the numerical calculation of stable solutions of a two-dimensional linear hyperbolic system with dissipative boundary conditions in the case of constant coefficients with lower terms. A discrete analog of the Lyapunov function is constructed and an a priori estimate is obtained for it. The obtained a priori estimate allows us to assert the exponential stability of the numerical solution.
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Цитирования и источники
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