STUDY OF THE BIAS OF N-PARTICLE ESTIMATES OF THE MONTE CARLO METHOD IN PROBLEMS WITH PARTICLE INTERACTION

Authors: Mikhailov G.A.¹^,2, Lotova G.Z.¹^,2, Rogasinsky S.V.¹^,2
Affiliations:
1. Institute of computational mathematics and mathematical geophysics SB RAS
2. Novosibirsk State University
Issue: Vol 519, No 1 (2024)
Pages: 33-38
Section: MATHEMATICS
URL: https://kazanmedjournal.ru/2686-9543/article/view/648006
DOI: https://doi.org/10.31857/S2686954324050076
EDN: https://elibrary.ru/XDYTXW
ID: 648006

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The paper gives a theoretical and numerical justification of the bias with the

chaos propagation hypothesis, Monte Carlo method, Boltzmann equation, rarefied gas theory, SEIR epidemic model, single-particle density distribution,

Institute of computational mathematics and mathematical geophysics SB RAS; Novosibirsk State University

Email: gam@sscc.ru
Corresponding member of the RAS Novosibirsk, Russia; Novosibirsk, Russia

Institute of computational mathematics and mathematical geophysics SB RAS; Novosibirsk State University

Email: lot@osmf.sscc.ru
Novosibirsk, Russia; Novosibirsk, Russia

Institute of computational mathematics and mathematical geophysics SB RAS; Novosibirsk State University

Email: svr@osmf.sscc.ru
Novosibirsk, Russia; Novosibirsk, Russia

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