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.

中文翻译：

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计算更新方程周期解的分段正交配置

我们将分段正交配置的使用扩展到计算更新方程的周期解，这在种群动态建模中特别重要。我们通过严格的误差分析证明收敛性。最后，我们展示了一些数值实验，证实了理论结果和分岔分析的一些应用。