The method of virtual contacts

Details The method of virtual contacts The method of virtual contacts

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984zvmmf..24..218k&link_type=abstract

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki (ISSN 0044-4669), vol. 24, Feb. 1984, p. 218-239. In Russian.

Mathematics

Astronomical Models, Computerized Simulation, Planetary Evolution, Virtual Properties, Binary Data, Discrete Functions, Matrices (Mathematics), Planetary Systems, Run Time (Computers), Set Theory

Scientific paper

The paper proposes a novel approach to the computer-aided study of the evolution of complex discrete systems consisting of a large number (N) of elements in contact. This approach is used to develop the method of virtual contacts, whose application leads to machine time costs of about N-squared, as contrasted with an exhaustive approach in which these costs amount to N-cubed. This method was used to perform numerical experiments concerned with the simulated formation of planetary systems in a new evolutionary model with N = 25,600; and the high efficiency of the method was shown. It is concluded that the proposed method can be used to study a broad class of collision and coagulation processes.

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