Computing stability of differential equations with bounded distributed delays

DOI10.1023/A:1026194503720zbMath1041.65110OpenAlexW138803476MaRDI QIDQ1413744

Koen Engelborghs, Tatyana Luzyanina, Dirk Roose

Publication date: 17 November 2003

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026194503720

zbMATH Keywords

comparison of methodsnumerical examplesLagrange interpolationquadrature methodGauss-Legendre quadraturelinear multistep methodquadrature rulesnumerical stability analysisdelay integro-differential equationsbounded distributed delays

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Related Items (17)

Stability analysis of age-structured population equations by pseudospectral differencing meth\-ods ⋮ Numerical approximation of characteristic values of partial retarded functional differential equations ⋮ Weak delay-dependent stability of Runge-Kutta methods for differential systems with distributed delays ⋮ Numerical stability analysis of steady state solutions of integral equations with distributed delays ⋮ Stability of delay integro-differential equations using a spectral element method ⋮ The stability of two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations with many delays ⋮ Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations ⋮ Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations ⋮ Stability of linear multistep methods for delay integro-differential equations ⋮ Solution operator approximations for characteristic roots of delay differential equations ⋮ The extended one-leg methods for nonlinear neutral delay-integro-differential equations ⋮ A review of theoretical and numerical analysis for nonlinear stiff Volterra functional differential equations ⋮ Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays ⋮ Delay-dependent stability of linear multistep methods for differential systems with distributed delays ⋮ Numerical bifurcation analysis of immunological models with time delays ⋮ On characteristic roots and stability charts of delay differential equations ⋮ Continuous separation for monotone skew-product semiflows: from theoretical to numerical results

Uses Software

• DDE-BIFTOOL

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