Piecewise orthogonal collocation for computing periodic solutions of renewal equations
Numerical Analysis
2023-12-08 v3 Numerical Analysis
Abstract
We extend the use of piecewise orthogonal collocation to computing periodic solutions of renewal equations, which are particularly important in modeling population dynamics. We prove convergence through a rigorous error analysis. Finally, we show some numerical experiments confirming the theoretical results, and a couple of applications in view of bifurcation analysis.
Cite
@article{arxiv.2105.09199,
title = {Piecewise orthogonal collocation for computing periodic solutions of renewal equations},
author = {Alessia Ando' and Dimitri Breda},
journal= {arXiv preprint arXiv:2105.09199},
year = {2023}
}
Comments
32 pages, 6 figures