Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems
type: Item
instance of: scholarly article
title: Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems
zbMATH Open document ID: 0884.65084
DOI: 10.1016/S0377-0427(97)00048-4
author: C. Mastroserio
author: Luciano Lopez
author: Tiziano Politi
published in: Journal of Computational and Applied Mathematics
publication date: 1998-03-12T00:00:00Z
review text: The authors study the design of a stepsize strategy for a special class of numerical methods for isospectral flows combining a continuous explicit Runge-Kutta method with a Gauss-Legendre Runge-Kutta method. The approach is introduced for double-bracket flows and based on the fact that such a flow can be written as the gradient flow for a potential. The authors show how to compute (approximately) a stepsize such that each step minimizes this potential. Some numerical tests (including an eigenvalue problem for a symmetric matrix) demonstrate the effect of the strategy.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1084082
zbMATH Keywords: continuous Runge-Kutta methods
zbMATH Keywords: variable stepsize
zbMATH Keywords: isospectral flow
zbMATH Keywords: double bracket flow
zbMATH Keywords: gradient flow
zbMATH Keywords: potential function
zbMATH Keywords: eigenvalues
zbMATH Keywords: numerical tests
zbMATH Keywords: symmetric matrix
reviewed by: Werner M. Seiler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1084082