Numerical approaches for state-dependent neutral delay equations with discontinuities

DOI10.1016/J.MATCOM.2011.11.002OpenAlexW2126019919MaRDI QIDQ2229754

Nicola Guglielmi, Ernst Hairer

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.11.002

zbMATH Keywords

regularizationasymptotic expansionimplicit Runge-Kutta methodneutral delay equationweak solution (Utkin)

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Asymptotic expansions of solutions to ordinary differential equations (34E05) Singular perturbations of functional-differential equations (34K26) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)

Related Items (5)

Equations of motion for variational electrodynamics ⋮ Classification of Hidden Dynamics in Discontinuous Dynamical Systems ⋮ An efficient IMEX method for nonlinear functional differential equations with state-dependent delay ⋮ Path-regularization of linear neutral delay differential equations with several delays ⋮ Runge–Kutta Methods for Systems of Differential Equation with Piecewise Continuous Arguments: Convergence and Stability

Uses Software

• RODAS
• RADAR5

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A regularization for discontinuous differential equations with application to state-dependent delay differential equations of neutral type
• Computing breaking points in implicit delay differential equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations
• On neutral-delay two-species Lotka-Volterra competitive systems
• Qualitative Analysis of One- or Two-Species Neutral Delay Population Models
• Implementing Radau IIA methods for stiff delay differential equations

This page was built for publication: Numerical approaches for state-dependent neutral delay equations with discontinuities