Piecewise orthogonal collocation for computing periodic solutions of renewal equations

被引：0
|
作者：
Ando, Alessia [1 ,2 ]
Breda, Dimitri [2 ]
机构：
[1] Gran Sasso Sci Inst, Area Math, Via Francesco Crispi 7, I-67100 Laquila, Italy
[2] Univ Udine, CDLab Computat Dynam Lab, Dept Math Comp Sci & Phys, Via Sci 206, I-33100 Udine, Italy
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2023年 / 49卷 / 06期
关键词：
Renewal equations; Periodic solutions; Boundary value problems; Piecewise orthogonal collocation; Finite element method; Population dynamics; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; INTEGRAL-EQUATION; APPROXIMATION;
D O I：
10.1007/s10444-023-10094-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：30
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