A review of numerical asymptotic averaging for weakly nonlinear hyperbolic waves

We present an overview of averaging method for solving weakly nonlinear hyperbolic systems. An asymptotic solution is constructed, which is uniformly valid in the “large” domain of variables t + |x| ∼ O(ϵ –1). Using this method we obtain the averaged system, which disintegrates into independent equ...

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Bibliographic Details
Main Authors: A. Krylovas, R. Čiegis
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2004-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9730