Measuring stiffness
type: Item
instance of: scholarly article
title: Measuring stiffness
zbMATH Open document ID: 0555.65050
DOI: 10.1016/0168-9274(85)90020-0
published in: Applied Numerical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The author presents a way of refinement of traditional measures of stiffness for the initial value problem (*) \(y'(x)=f(x,y(x))\), \(x\in [a,b]\), y(a) is given, where \(y(x)\in {\mathbb{R}}^ n\). The measure of stiffness introduced is more precise and easier to evaluate numerically. The author considers three examples to discuss the stiffness index of the problem (*): a) in case where the analytic solution of (*) is known; b) in case where the solution of (*) is computed numerically, but other quantities can then be deduced analytically; c) for the numerical solution of (*), respectively.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 3885238
zbMATH Keywords: system
zbMATH Keywords: stiff systems
zbMATH Keywords: measures of stiffness
author: L. F. Shampine
reviewed by: Józef Kalinowski
MaRDI profile type: Publication
full work available at URL: 0168-9274(85)90020-0
OpenAlex ID: W4241406382
cites work: Solving Ordinary Differential Equations Using Taylor Series
cites work: Q3292729
cites work: Comparing numerical methods for stiff systems of O.D.E:s
cites work: A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
cites work: Comparing Numerical Methods for Ordinary Differential Equations
cites work: Q3911973
cites work: Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas
description: scientific article; zbMATH DE number 3885238