Geodesic
A method for the numerical solution of a system of ordinary differential equations of a quasichemical condensation model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 147-151 
A. V. Krestinin. A method for the numerical solution of a system of ordinary differential equations of a quasichemical condensation model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 147-151. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method is proposed for reducing the infinite system of equations of the quasichemical model of nucleation and condensation to a finite system by direct approximation of the size distribution function of the condensed phase with cubic polynomials.

[1] Lushnikov A. A., Sutugin A. G., “Sovremennoe sostoyanie teorii gomogennoi nukleatsii”, Uspekhi khimii, 45:3 (1976), 385–415

[2] Gordiets B. V., Shelepin L. A., Shmotkin Yu. S., “Matematicheskaya model kinetiki izotermicheskoi kondensatsii”, Khim. fiz., 1:10 (1982), 1391–1400

[3] Zeldovich Ya. B., “K obrazovaniyu novoi fazy. Kavitatsiya”, Zh. eksperim. i teor. fiz., 12:11–12 (1942), 525–538

[4] Lozinskii S. M., “Otsenka pogreshnosti chislennogo integrirovaniya obyknovennykh differentsialnykh uravnenii”, Izv. vuzov. Matematika, 1958, no. 5, 52–90

[5] Krestinin A. V., “Prostaya model neizotermicheskoi gomogennoi kondensatsii v gazakh”, Khim. fiz., 5:2 (1986), 240–249

[6] Krestinin A. V., Pavlov B. V., “Odnopolyusnoe drobno-ratsionalnoe priblizhenie eksponenty v kompleksnoi ploskosti”, Zh. vychisl. matem. i matem. fiz., 21:5 (1981), 1318–1322 | MR | Zbl