Geodesic
Mathematical modeling and noise-proof estimation of~shock~wave pulse parameters based
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 25 (2021) no. 1, pp. 127-162

Voir la notice de l'article provenant de la source Math-Net.Ru

The article deals with the construction of a mathematical model of the underwater shock wave pulse based on the results of the experiment and numerical and analytical scientific research. The results of the development and comparative analysis of various numerical methods for nonlinear estimation of the parameters of this model are presented. A numerical method is proposed for estimating the pulse energy of a shock wave based on the experimental results in the form of an overpressure waveform both over an infinite period of time and at a given pulse duration. The results of testing the developed numerical methods for mathematical modeling of the underwater shock wave pulse when processing the results of the experiment at the explosion of model charge are presented. The reliability and efficiency of the computational algorithms and numerical methods of nonlinear estimation presented in this paper is confirmed by the results of numerical and analytical studies and mathematical models constructed on the basis of experimental data.
Keywords: underwater shock wave pulse, mathematical model, nonlinear regression analysis, generalized regression model, root-mean-square estimation, statistical processing of experimental results. 
@article{VSGTU_2021_25_1_a8,
     author = {V. E. Zoteev and S. Yu. Ganigin and D. A. Demoretskii and M. V. Nenashev and A. V. Gubinsky},
     title = {Mathematical modeling and noise-proof estimation of~shock~wave pulse parameters based},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {127--162},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2021_25_1_a8/}
}
TY  - JOUR
AU  - V. E. Zoteev
AU  - S. Yu. Ganigin
AU  - D. A. Demoretskii
AU  - M. V. Nenashev
AU  - A. V. Gubinsky
TI  - Mathematical modeling and noise-proof estimation of~shock~wave pulse parameters based
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2021
SP  - 127
EP  - 162
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2021_25_1_a8/
LA  - ru
ID  - VSGTU_2021_25_1_a8
ER  - 
%0 Journal Article
%A V. E. Zoteev
%A S. Yu. Ganigin
%A D. A. Demoretskii
%A M. V. Nenashev
%A A. V. Gubinsky
%T Mathematical modeling and noise-proof estimation of~shock~wave pulse parameters based
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2021
%P 127-162
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2021_25_1_a8/
%G ru
%F VSGTU_2021_25_1_a8
V. E. Zoteev; S. Yu. Ganigin; D. A. Demoretskii; M. V. Nenashev; A. V. Gubinsky. Mathematical modeling and noise-proof estimation of~shock~wave pulse parameters based. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 25 (2021) no. 1, pp. 127-162. http://geodesic.mathdoc.fr/item/VSGTU_2021_25_1_a8/