Conference publications

On stability of an nonlocal difference scheme: numerical study

Morozova V.A.

Moscow

"Математика. Компьютер. Образование". Cб. трудов X международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2003. Vol. 2. Pp. 198-205.

The numerical investigation is represented concerning stability with respect to initial data of the explicit difference scheme for heat conduction equation with nonlocal boundary conditions. The norms of powers of transition matrices are calculated. Stability criterions are checked for various grid spaces. The conditions numbers are obtained for matrices which defines energy norms.

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