Switching between modified Newton and fix-point iteration for implicit ODE-solvers
type: Item
instance of: scholarly article
title: Switching between modified Newton and fix-point iteration for implicit ODE-solvers
zbMATH Open document ID: 0602.65052
DOI: 10.1007/BF01933714
author: Syvert P. Nørsett
author: Per Grove Thomsen
published in: BIT
publication date: 1986-01-01T00:00:00Z
review text: This paper discusses automatic switching between modified Newton iteration (non-zero Jacobian) and fixed point iteration (zero Jacobian). The switching strategy uses the ratio of the norms of the displacement and the residual. Several numerical examples show the strategy to be successful.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 3972103
zbMATH Keywords: stiff systems
zbMATH Keywords: automatic switching
zbMATH Keywords: Newton iteration
zbMATH Keywords: fixed point iteration
zbMATH Keywords: switching strategy
zbMATH Keywords: numerical examples
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
cites work: Q5674335
cites work: Embedded SDIRK-methods of basic order three
cites work: Some Properties of Algorithms for Stiff Differential Equations
cites work: Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas
cites work: Comparing Numerical Methods for Ordinary Differential Equations
cites work: Comparing numerical methods for stiff systems of O.D.E:s
full work available at URL: https://doi.org/10.1007/bf01933714
OpenAlex ID: W2030540156
description: scientific article; zbMATH DE number 3972103