A note on monotonicity of a Rosenbrock method
type: Item
instance of: scholarly article
title: A note on monotonicity of a Rosenbrock method
zbMATH Open document ID: 0628.65051
DOI: 10.1016/0377-0427(87)90143-9
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Any two solutions of a dissipative differential equation exhibit a certain monotonicity property. It is shown that a similar property holds for numerical solutions computed by a method which is due to Rosenbrock.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4022501
zbMATH Keywords: stiff differential equations
zbMATH Keywords: nonlinear algebraic equations
zbMATH Keywords: modified Newton methods
zbMATH Keywords: Rosenbrock method
zbMATH Keywords: dissipative differential equation
zbMATH Keywords: monotonicity property
author: Willem Hundsdorfer
reviewed by: Gerhard Merz
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90143-9
OpenAlex ID: W2130483626
cites work: Q4061081
cites work: Q3687624
cites work: Q3221299
cites work: Q3757341
cites work: Q5652137
cites work: Numerical Integration of Systems of Stiff Nonlinear Differential Equations
cites work: Q3780368
description: scientific article; zbMATH DE number 4022501