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A note on the equivalence of some recent time-integration schemes for N-body problems (CROSBI ID 121914)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Graham, E. ; Jelenić, Gordan ; Crisfield, M. A. A note on the equivalence of some recent time-integration schemes for N-body problems // Communications in numerical methods in engineering, 18 (2002), 9; 615-620-x

Podaci o odgovornosti

Graham, E. ; Jelenić, Gordan ; Crisfield, M. A.

engleski

A note on the equivalence of some recent time-integration schemes for N-body problems

This paper investigates the relationship between the energy- and momentum-conserving time-integration scheme of Simo and Gonzalez (Papers-American Society of Mechanical Engineers-All Series, 1993 ; 93(4)) and a momentum-con serving time- integration scheme due to Betsch and Steinmann (Int. J Numer. Meth Engng 2000 ; 49:599) for N-body problems. The schemes are shown to be identical if the potential energy of interaction between masses is a polynomial function of the distances between the masses, of degree two or lower. In addition, they are shown to recover the same relative equilibria.

time integration; conserving procedures

projekt EPSRC AF/100089

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Podaci o izdanju

18 (9)

2002.

615-620-x

objavljeno

1069-8299

Povezanost rada

Temeljne tehničke znanosti

Indeksiranost