On the spectral stability in subspaces for difference schemes with nonlocal boundary conditionsстатья
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Дата последнего поиска статьи во внешних источниках: 25 декабря 2013 г.
Аннотация:We consider an initial–boundary value problem for the heat equation with nonlocal
boundary conditions containing a parameter γ > 1. The spectrum of the main differential operator contains some number (depending on γ) of eigenvalues lying in the left complex half-plane,which results in the instability of the problem with respect to the initial data. For difference schemes approximating the original problem, we obtain a criterion for stability in the subspaces generated by stable harmonics.