Higher-order approximations in the averaging principle of multiscale systems

被引：2
|
作者：
Li, Xin [1 ]
Wang, Qiuyu [1 ]
Xie, Longjie [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221000, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 142卷
关键词：
Multiscale systems; Averaging principle; Poisson equation; Higher-order approximation; DIFFUSION-APPROXIMATION; DRIVEN;
D O I：
10.1016/j.aml.2023.108651
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the asymptotic behavior for multiscale dynamical systems. Using the Poisson equation with parameters, we derive a hierarchy of approximation equa-tions which are able to approximate the slow motion in the Lp-sense and achieve order epsilon k/2 with any p > 1 and k is an element of N+. This generalizes the averaged equation prescribed by the averaging principle, which results in order epsilon 1/2 approximation. (c) 2023 Elsevier Ltd. All rights reserved.
引用
收藏
页数：7
相关论文
共 50 条
12345