Piecewise orthogonal collocation for computing periodic solutions of renewal equations

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.

arXiv comment32 pages, 6 figures

References in corpus (1)

• Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations

Cited by in corpus (1)

• Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations