The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments

DOI10.1137/140979022zbMath1330.65123OpenAlexW2218418595MaRDI QIDQ3462235

Stefano Maset

Publication date: 5 January 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140979022

zbMATH Keywords

convergencecollocation methodfinite element methodspectral element methodboundary value problemsfunctional differential equations

Mathematics Subject Classification ID

Related Items (6)

15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations ⋮ The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results ⋮ Pseudospectral discretization of delay differential equations in sun-star formulation: results and conjectures ⋮ Convergence Analysis of Collocation Methods for Computing Periodic Solutions of Retarded Functional Differential Equations ⋮ Collocation Techniques for Structured Populations Modeled by Delay Equations ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations

Cites Work

• Unnamed Item
• Finite element boundary value integration of Wheeler-Feynman electrodynamics
• Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations
• Convergence of a boundary value difference equation for computing periodic solutions of neutral delay differential equations
• Collocation schemes for periodic solutions of neutral delay differential equations
• The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results
• Numerical Methods for Delay Differential Equations
• Computation of Mixed Type Functional Differential Boundary Value Problems

This page was built for publication: The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments