Error Bounds in the Method of Averaging Based on Properties of Average Motion

1 March 1979

journal article
Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis

Vol. 10 (2) , 331-336
https://doi.org/10.1137/0510032

Abstract

In applying asymptotic methods such as the averaging method, upper bounds for the deviation of the approximate solution from the exact solution can be derived. In this paper the dependence of such bounds on properties of the average system is discussed. A simple example illustrates the usefulness of the resulting bounds.

Keywords

EXACT SOLUTION
ILLUSTRATES
ASYMPTOTIC
AVERAGING BASED
BASED ON PROPERTIES
METHOD OF AVERAGING
SIMPLE EXAMPLE
APPROXIMATE SOLUTION
AVERAGE MOTION

This publication has 2 references indexed in Scilit:

Error bounds for perturbation methods
Celestial Mechanics and Dynamical Astronomy, 1976
Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems
SIAM Journal on Applied Mathematics, 1969