Numerical and analytical methods of the study of stochastic systems with delay
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 95-100
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This paper is a brief review of methods of qualitative and quantitative study of various classes of stochastic systems with aftereffect. We describe schemes of analysis of stochastic ordinary and partial differential and integrodifferential equations, which are also applicable for their deterministic analogs. These numerical and analytical schemes are implemented in the software package Mathematica and in the language Intel Fortran.
Keywords:
stochastic dynamical system, delay, analysis, state vector, moment characteristic, numerical and analytical methods.
@article{INTO_2017_132_a21,
author = {I. E. Poloskov},
title = {Numerical and analytical methods of the study of stochastic systems with delay},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {95--100},
publisher = {mathdoc},
volume = {132},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a21/}
}
TY - JOUR AU - I. E. Poloskov TI - Numerical and analytical methods of the study of stochastic systems with delay JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2017 SP - 95 EP - 100 VL - 132 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2017_132_a21/ LA - ru ID - INTO_2017_132_a21 ER -
%0 Journal Article %A I. E. Poloskov %T Numerical and analytical methods of the study of stochastic systems with delay %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2017 %P 95-100 %V 132 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2017_132_a21/ %G ru %F INTO_2017_132_a21
I. E. Poloskov. Numerical and analytical methods of the study of stochastic systems with delay. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 95-100. http://geodesic.mathdoc.fr/item/INTO_2017_132_a21/