Collocation methods for integro-differential algebraic equations with index 1

DOI10.1093/imanum/drz010zbMath1462.65098OpenAlexW2920571323WikidataQ128391243 ScholiaQ128391243MaRDI QIDQ5109461

Hermann Brunner, Hui Liang

Publication date: 12 May 2020

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drz010

zbMATH Keywords

convergence analysiscollocation methodstractability indexdecouplingindex-1 systemsintegro-differential algebraic equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Volterra integral equations (45D05)

Related Items (13)

A posteriori error estimation in maximum norm for a system of singularly perturbed Volterra integro-differential equations ⋮ Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ An error estimation of a Nyström type method for integral-algebraic equations of index-1 ⋮ A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions ⋮ A viscoelastic Timoshenko beam model: regularity and numerical approximation ⋮ On a mixed Galerkin method for semi-explicit index-1 integro-differential algebraic equations ⋮ Properties of degenerate systems of linear integro-differential equations and initial value problems for these equations ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ Unnamed Item ⋮ Structural analysis of integro-differential-algebraic equations ⋮ On systems of integro-differential and integral equations with identically singular matrix multiplying the principal part ⋮ Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations ⋮ Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state

This page was built for publication: Collocation methods for integro-differential algebraic equations with index 1