Geodesic
Stability of a matrix finite-difference scheme for solving the problem of elastic vibrations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 34-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. D. Zhestkaya. Stability of a matrix finite-difference scheme for solving the problem of elastic vibrations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 1, pp. 34-38. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_1_a4/

[1] Postnov V. A., Chislennye metody rascheta sudovykh konstruktsii, Sudostroenie, L., 1977

[2] Godunov S. K., Ryabenkii B. C., Raznostnye skhemy, Nauka, M., 1977

[3] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1980 | MR