Chebyshev Expansions for Solutions of Linear Differential Equations
Symbolic Computation
2013-06-19 v1
Abstract
A Chebyshev expansion is a series in the basis of Chebyshev polynomials of the first kind. When such a series solves a linear differential equation, its coefficients satisfy a linear recurrence equation. We interpret this equation as the numerator of a fraction of linear recurrence operators. This interpretation lets us give a simple view of previous algorithms, analyze their complexity, and design a faster one for large orders.
Keywords
Cite
@article{arxiv.0906.2888,
title = {Chebyshev Expansions for Solutions of Linear Differential Equations},
author = {Alexandre Benoit and Bruno Salvy},
journal= {arXiv preprint arXiv:0906.2888},
year = {2013}
}