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

页数：7

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