Geodesic
Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 2, pp. 123-136.

Voir la notice de l'article provenant de la source Math-Net.Ru

An algorithm of spectral analysis for skew-symmetric matrices based on using the resonance effect is proposed and studied. Its application to computation of oscillation spectra for conservative systems of hyperbolic equations is discussed on the example of three-dimensional linear elasticity. 
@article{SJVM_2006_9_2_a1,
     author = {S. K. Godunov and S. V. Selivanova},
     title = {Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {123--136},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2006_9_2_a1/}
}
TY  - JOUR
AU  - S. K. Godunov
AU  - S. V. Selivanova
TI  - Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2006
SP  - 123
EP  - 136
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2006_9_2_a1/
LA  - ru
ID  - SJVM_2006_9_2_a1
ER  - 
%0 Journal Article
%A S. K. Godunov
%A S. V. Selivanova
%T Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2006
%P 123-136
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2006_9_2_a1/
%G ru
%F SJVM_2006_9_2_a1
S. K. Godunov; S. V. Selivanova. Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 2, pp. 123-136. http://geodesic.mathdoc.fr/item/SJVM_2006_9_2_a1/

[1] S. K. Godunov (red.), Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[2] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M., 1971 | MR

[3] Godunov S. K., Zhukov V. T., Feodoritova O. B., Algoritm spektralnogo analiza dlya simmetricheskikh giperbolicheskikh sistem, Preprint RAN. IPM im. M. V. Keldysha, M., 2005

[4] Kolskii G., Volny napryazheniya v tverdykh telakh, IL, M., 1955

[5] Malyshev A. N., Vvedenie v vychislitelnuyu lineinuyu algebru, Nauka, Novosibirsk, 1991

[6] Selivanova S. V., Eksperimenty po raschetu kolebatelnykh spektrov v teorii uprugosti, Vypusknaya kvalifikatsionnaya rabota bakalavra, NGU, Novosibirsk, 2005

[7] Timoshenko S. P., Guder Dzh., Teoriya uprugosti, Nauka, M., 1975