A numerical method for vanishing-lag delay differential equations

DOI10.1016/0168-9274(95)00025-PzbMath0834.65054OpenAlexW2035304890MaRDI QIDQ1901534

Rémi Vaillancourt, Abderrazek Karoui

Publication date: 11 December 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00025-p

zbMATH Keywords

numerical testsFortran program SYSDELvanishing-lag delay differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

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Cites Work

• Unnamed Item
• Wavelets: Properties and approximate solution of a second kind integral equation
• On the computational solution of differential-difference equations
• Stepsize control for delay differential equations using continuously imbedded Runge-Kutta methods of Sarafyan
• Numerical treatment of delay differential equations by Hermite interpolation
• The tracking of derivative discontinuities in systems of delay- differential equations
• Software for the numerical solution of systems of functional differential equations with state-dependent delays
• Developing a delay differential equation solver
• Characterization of jump discontinuities for state dependent delay differential equations
• Computer solutions of state-dependent delay differential equations
• A Fully-Discrete Spectral Method for Delay-Differential Equations
• High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
• Automatic Integration of Functional Differential Equations: An Approach
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations