粒子相互作用问题的蒙特卡罗n粒子估计偏差研究

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-01-10 DOI:10.1134/S1064562424601513

G. A. Mikhailov, G. Z. Lotova, S. V. Rogasinsky

引用次数: 0

摘要

对于具有粒子轨迹相互作用的模型，我们从理论上和数值上证明了非线性动力学方程解的n粒子泛函的统计估计具有\(O(1{\text{/}}N)\)阶的偏差。在相应的偏置公式中得到了系数的估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Study of the Bias in Monte Carlo N-Particle Estimates for Problems with Particle Interaction

For a model with interaction of particle trajectories, we justify theoretically and numerically that the N-particle statistical estimates of functionals of the solution to nonlinear kinetic equations have a bias of \(O(1{\text{/}}N)\) order. An estimate of the coefficient in the corresponding bias formula is obtained.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.