On the stability of spline-collocation methods of multivalue type
type: Item
instance of: scholarly article
title: On the stability of spline-collocation methods of multivalue type
zbMATH Open document ID: 0626.65064
DOI: 10.1007/BF01933732
author: P. M. Fuchs
published in: BIT
publication date: 1987-01-01T00:00:00Z
review text: A class of spline-collocation methods for systems of ordinary differential equations is studied. This class is connected with multivalue methods. By an appropriate choice of the collocation points infinity-stable methods are given.
reviewed by: Miroslav Bartušek
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4018263
zbMATH Keywords: stability at infinity
zbMATH Keywords: spline-collocation methods
zbMATH Keywords: systems
zbMATH Keywords: multivalue methods
MaRDI profile type: Publication
cites work: A generalization of singly-implicit methods
cites work: Charakterisierung der Konvergenzordnung und A∞-Stabilität von speziellen Kollokationsverfahren
cites work: Q3685960
cites work: Charakterisierung der Konvergenzordnung einer Klasse von Kollokationsverfahren
cites work: Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods
cites work: Numerische Lösung gewöhnlicher Differentialgleichungen mit Splinefunktionen
cites work: Zur numerischen Lösung gewöhnlicher Differential‐gleichungen mit Splines in einem Sonderfall
cites work: Maximale Konvergenzordnung bei der numerischen Lösung von Anfangswertproblemen mit Splines
cites work: A-stabile Kollokationsverfahren mit mehrfachen Knoten
cites work: The real-pole sandwich for rational approximations and oscillation equations
cites work: Perturbed collocation and Runge-Kutta methods
cites work: Q5536376
cites work: Order stars and stability theorems
cites work: Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
description: scientific article; zbMATH DE number 4018263