Research output: Contribution to journal › Article › peer-review
Study and Optimization of N-Particle Numerical Statistical Algorithm for Solving the Boltzmann Equation. / Lotova, G. Z.; Mikhailov, G. A.; Rogasinsky, S. V.
In: Computational Mathematics and Mathematical Physics, Vol. 64, No. 5, 05.2024, p. 1065-1075.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Study and Optimization of N-Particle Numerical Statistical Algorithm for Solving the Boltzmann Equation
AU - Lotova, G. Z.
AU - Mikhailov, G. A.
AU - Rogasinsky, S. V.
PY - 2024/5
Y1 - 2024/5
N2 - Abstract: The main goal of this work is to check the hypothesis that the well-known N-particle statistical algorithm yields a solution estimate for the nonlinear Boltzmann equation with an error. For this purpose, practically important optimal relations between and the number of sample estimate values are determined. Numerical results for a problem with a known solution confirm that the formulated estimates and conclusions are satisfactory.
AB - Abstract: The main goal of this work is to check the hypothesis that the well-known N-particle statistical algorithm yields a solution estimate for the nonlinear Boltzmann equation with an error. For this purpose, practically important optimal relations between and the number of sample estimate values are determined. Numerical results for a problem with a known solution confirm that the formulated estimates and conclusions are satisfactory.
KW - Boltzmann equation
KW - Monte Carlo method
KW - N-particle Markov chain
KW - majorizing frequency method
KW - molecular chaos
KW - statistical modeling
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85196121994&origin=inward&txGid=be3cc2aa598e39343b239aa38f8b0c72
UR - https://www.mendeley.com/catalogue/a4e8d3d9-1000-34f4-ab0f-281d9ba67353/
U2 - 10.1134/S0965542524700246
DO - 10.1134/S0965542524700246
M3 - Article
VL - 64
SP - 1065
EP - 1075
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 5
ER -
ID: 61123592