The Approximate Solution of Volterra Differential Systems with State-Dependent Time Lags

DOI10.1137/0715068zbMath0396.65040OpenAlexW2019432349MaRDI QIDQ4179771

Lucio Tavernini

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1137/0715068

zbMATH Keywords

Functional Differential EquationsNumerical ExamplesNumerical SolutionConvergence TheoremsInitial-Data ProblemState Dependent Time LagsVolterra Systems

Mathematics Subject Classification ID

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

Related Items

An efficient unified approach for the numerical solution of delay differential equations ⋮ Numerical approximations for a class of differential equations with time- and state-dependent delays ⋮ High-order collocation methods for singular Volterra functional equations of neutral type ⋮ A block-by-block method for the numerical solution of Volterra delay integro-differential equations ⋮ Differential automata and their discrete simulators ⋮ Sharpness results for state dependent delay differential equations: An overview ⋮ Analysis of an adaptive collocation solution for retarded and neutral delay systems ⋮ Asymptotic stability analysis of \(\theta\)-methods for functional differential equations ⋮ Numerical solution of retarded initial value problems: Local and global error and stepsize control