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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2007 Volume 47, Number 1, Pages 34–38 (Mi zvmmf344)

Stability of a matrix finite-difference scheme for solving the problem of elastic vibrations

V. D. Zhestkaya

Komsomolsk-on-Amur State Technical University, pr. Lenina 27, Komsomolsk-on-Amur, 681031, Russia

Abstract: The stability of a matrix finite-difference scheme is analyzed. The scheme is based on central differences and is designed for the differential equation governing the vibrations of an elastic system.

Key words: finite-difference method, stability, differential equations governing the vibrations of an elastic medium.

UDC: 519.624

Received: 25.05.2004
Revised: 21.07.2006


 English version:
Computational Mathematics and Mathematical Physics, 2007, 47:1, 32–36

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© Steklov Math. Inst. of RAS, 2025