Approximation of Eigenvalues of Evolution Operators for Linear Renewal Equations
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Publication:5745076
DOI10.1137/17M1140534zbMath1404.65319MaRDI QIDQ5745076
Publication date: 5 June 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
stabilityperiodic solutionsVolterra integral equationsequilibriaevolution operatorseigenvalue approximationrenewal equationspseudospectral collocationretarded functional equations
Numerical methods for integral equations (65R20) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Volterra integral equations (45D05) Eigenvalue problems for integral equations (45C05) Groups and semigroups of linear operators, their generalizations and applications (47D99) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (11)
Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations ⋮ Piecewise discretization of monodromy operators of delay equations on adapted meshes ⋮ 15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations ⋮ Computing eigenvalues of semi-infinite quasi-Toeplitz matrices ⋮ Piecewise orthogonal collocation for computing periodic solutions of renewal equations ⋮ Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures ⋮ Collocation Techniques for Structured Populations Modeled by Delay Equations ⋮ Floquet theory and stability of periodic solutions of renewal equations ⋮ How fast is the linear chain trick? A rigorous analysis in the context of behavioral epidemiology ⋮ Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization ⋮ Pseudospectral methods for the stability analysis of delay equations. II: The solution operator approach
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