Asymptotic solvers for ordinary differential equations with multiple frequencies
Numerical Analysis
2023-07-19 v1
Abstract
We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies. We derive an asymptotic expansion in inverse powers of the oscillatory parameter and use its truncation as an exceedingly effective means to discretize the differential equation in question. Numerical examples illustrate the effectiveness of the method.
Cite
@article{arxiv.1506.06308,
title = {Asymptotic solvers for ordinary differential equations with multiple frequencies},
author = {Marissa Condon and Alfredo Deano and Jing Gao and Arieh Iserles},
journal= {arXiv preprint arXiv:1506.06308},
year = {2023}
}
Comments
This paper has been accepted for publication in SCIENCE CHINA Mathematics