Collocation methods for differential-algebraic equations of index 3
type: Item
instance of: scholarly article
title: Collocation methods for differential-algebraic equations of index 3
zbMATH Open document ID: 0791.65056
DOI: 10.1007/BF01385759
published in: Numerische Mathematik
publication date: 1994-07-07T00:00:00Z
full work available at URL: https://eudml.org/doc/133742
review text: This article gives sharp convergence results for stiffly accurate collocation methods as applied to differential-algebraic equations of index 3 in Hessenberg form, proving partially a conjecture of \textit{E. Hairer}, \textit{C. Lubich} and \textit{M. Roche} [The numerical solution of differential-algebraic systems by Runge-Kutta methods. Lect. Notes Math. 1409 (1989; Zbl 0683.65050), p. 86].
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 569165
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: convergence
zbMATH Keywords: collocation methods
zbMATH Keywords: differential- algebraic equations of index 3
author: Laurent O. Jay
describes a project that uses: RODAS
MaRDI profile type: Publication
cites work: Q3993493
cites work: The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods
cites work: The numerical solution of differential-algebraic systems by Runge-Kutta methods
cites work: Q3779682
cites work: Q4000061
OpenAlex ID: W1972899034
description: scientific article; zbMATH DE number 569165