Conjugate-factorized models in mathematical physics problems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 1, pp. 25-57

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Linear mathematical models are studied, which are based on a certain law (laws) of conservation. It is shown that in this case the basic operators of a continuous model have initially a conjugate-factorized structure. This property allows one to simplify essentially the transfer to adequate grid models and to construct efficient algorithms to determine parameters of a model in different statements. The results obtained can be considered as further development of the theory of support operators for difference schemes of the divergent form.
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     title = {Conjugate-factorized models in mathematical physics problems},
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A. N. Konovalov. Conjugate-factorized models in mathematical physics problems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 1, pp. 25-57. http://geodesic.mathdoc.fr/item/SJVM_1998_1_1_a3/