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Piecewise orthogonal collocation for computing periodic solutions of renewal equations (2105.09199v3)
Published 19 May 2021 in math.NA and cs.NA
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.