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.

翻译：我们将分段正交配置法的应用扩展至更新方程周期解的求解，这类方程在种群动态建模中尤为重要。通过严格的误差分析证明了该方法的收敛性。最后，通过数值实验验证理论结果，并展示了若干面向分岔分析的应用实例。