The order of B-convergence of the Gaussian Runge-Kutta method
type: Item
instance of: scholarly article
title: The order of B-convergence of the Gaussian Runge-Kutta method
zbMATH Open document ID: 0565.65040
DOI: 10.1007/BF02238190
author: J. F. B. M. Kraaijevanger
author: Kees Dekker
author: Marc N. Spijker
published in: Computing
publication date: 1986-01-01T00:00:00Z
review text: The exact order of B-convergence is determined for the m-stage Gaussian Runge-Kutta method. For \(m=1\) this order is 2, whereas for \(m\geq 2\) this order turns out to be only m.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 3901933
zbMATH Keywords: order of B-convergence
zbMATH Keywords: m-stage Gaussian Runge-Kutta method
MaRDI profile type: Publication
cites work: Stability of Collocation at Gaussian Points
cites work: Stability Criteria for Implicit Runge–Kutta Methods
cites work: A study of B-convergence of Runge-Kutta methods
cites work: Sur la B-stabilité des méthodes de Runge-Kutta
cites work: Q3687624
cites work: Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
cites work: B-convergence of the implicit midpoint rule and the trapezoidal rule
full work available at URL: https://doi.org/10.1007/bf02238190
OpenAlex ID: W1538985
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description: scientific article; zbMATH DE number 3901933