Abstract: Initial ideas are presented and the characteristic features of the implementation of the "PODMODELI" ("submodels") program, which has been written during recent years [1], are described. At the foundation of this program lies a deliberation concerning the exhaustion of all the possibilities of an exact simplification of "large" mathematical models by means of the full use of the symmetry properties built into them. Such a simplification is achieved by changing to submodels which describe classes of exact particular solutions and lead to a reduction in the dimensions of the problems making them easier to analyse. Although, in its full scope, this program is obviously not exhaustible, nevertheless, as regards each fixed "large model" which arises in the mechanics of a continuous medium and, in general, in mathematical physics, it is specific and fully realizable in practice and serves for the organization and supplementation of a databank on mathematical models of natural processes.
Publication Year: 1994
Publication Date: 1994-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 58
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