Numerical approximation of characteristic values of partial retarded functional differential equations

DOI10.1007/s00211-009-0233-7zbMath1175.65115OpenAlexW2042137761MaRDI QIDQ841116

Dimitri Breda, Rossana Vermiglio, Stefano Maset

Publication date: 14 September 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0233-7

zbMATH Keywords

stabilityconvergencepseudospectral methodevolution equationlinearizationdynamical systemreaction diffusion equationsspectral methodequilibrium pointcharacteristic values

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations ⋮ Data-driven interpolation of dynamical systems with delay ⋮ Data-driven structured realization ⋮ Quasipolynomial approach to simultaneous robust control of time-delay systems ⋮ Numerical approximation of the non-essential spectrum of abstract delay differential equations ⋮ A numerical approach for investigating the stability of equilibria for structured population models ⋮ A numerical framework for computing steady states of structured population models and their stability ⋮ Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems ⋮ Polynomial Chaos Expansions for the Stability Analysis of Uncertain Delay Differential Equations

Uses Software

• Matlab
• MATSLISE

Cites Work

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• MATSLISE
• Computing the characteristic roots for delay differential equations
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• Global Attractivity for a Population Model with Time Delay
• Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
• Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
• A note on Riesz bases of eigenvectors of certain holomorphic operator-functions

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