@article{ZVMMF_2014_54_12_a11,
author = {K. K. Abgaryan and M. A. Posypkin},
title = {Optimization methods as applied to parametric identification of interatomic potentials},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1994--2001},
year = {2014},
volume = {54},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a11/}
}
TY - JOUR AU - K. K. Abgaryan AU - M. A. Posypkin TI - Optimization methods as applied to parametric identification of interatomic potentials JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2014 SP - 1994 EP - 2001 VL - 54 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a11/ LA - ru ID - ZVMMF_2014_54_12_a11 ER -
%0 Journal Article %A K. K. Abgaryan %A M. A. Posypkin %T Optimization methods as applied to parametric identification of interatomic potentials %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2014 %P 1994-2001 %V 54 %N 12 %U http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a11/ %G ru %F ZVMMF_2014_54_12_a11
K. K. Abgaryan; M. A. Posypkin. Optimization methods as applied to parametric identification of interatomic potentials. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 12, pp. 1994-2001. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_12_a11/
[1] Abgaryan K. K., “Primenenie optimizatsionnykh metodov dlya modelirovaniya mnogosloinykh poluprovodnikovykh nanosistem”, Dinamika neodnorodnykh sistem, Tr. In-ta sistemnogo analiza RAN, 53, no. 3, 2010, 6–9
[2] Abgaryan K., “Multiscale computational model of multy-layer semiconductor nanostructures”, IV Internat. Conference on Optimizat. Meth. and Appl., OPTIMA-2013 (Petrovac, Montenegro, September, 2013), 13–14
[3] Hohenberg P., Kohn W., “Inhomogeneous electron gas”, Phys. Rev., 136 (1964), B864–B871 | DOI
[4] Kohn W., Sham L. J., “Self-consistent equations including exchange and correlation effects”, Phys. Rev., 140 (1965), A1133–A1138 | DOI
[5] Abgaryan K., Bazanov D., Mutigillin I., “The simulation of the nitridation of the sapphire surface (001)”, Materials XXI Internat. Conference “Interaction of ions with the surface”. VIP, v. 2, 2013, 99–103
[6] Abgaryan K. K., Bykov N. V., Mutigullin I. V., “Primenenie parallelnykh vychislenii i metoda molekulyarnoi dinamiki dlya modelirovaniya rosta mnogosloinykh poluprovodnikovykh nanostruktur”, Materialy IX mezhdunar. konferentsii po neravnovesnym protsessam v soplakh i struyakh, NPNJ 2012 (Alushta, 25–31 maya 2012), Izd-vo MAI, M., 2012, 457–459
[7] Tersoff J., “Empirical interatomic potential for silicon with improved elastic properties”, Phys. Rev. B, 38 (1988), 9902–9905 | DOI
[8] Powell D., Elasticity, lattice dynamics and parameterisation techniques for the Tersoff potential applied to elemental and type III–V semiconductors, University of Sheffield, 2006
[9] Kittel Ch., Vvedenie v fiziku tverdogo tela, Izd-vo tekhn.-teoret. lit-ry, M., 1957
[10] Juzhong S., Stirner T., Hagston W. E., Leyland A., Matthews A., “A simple transferable interatomic potential model for binary oxides applied to bulk $\alpha$-$\mathrm{AL_2O_3}$ and the (0001) $\alpha$-$\mathrm{AL_2O_3}$ surface”, J. Crystal Growth, 290 (2006), 235–240 | DOI
[11] Posypkin M. A., “Reshenie zadach globalnoi optimizatsii v srede raspredelennykh vychislenii”, Programmnye produkty i sistemy, 2010, no. 1, 23–29
[12] Evtushenko Yu. G., “Chislennyi metod poiska globalnogo ekstremuma funktsii (perebor na neravnomernoi setke)”, Zh. vychisl. matem. i matem. fiz., 11:6 (1971), 1390–1403
[13] Sergeev Ya. D., Kvasov D. E., Diagonalnye metody globalnoi optimizatsii, Fizmatlit, M., 2008