An explicit two-step method exact for the scalar test equation \(y'= \lambda y\)
type: Item
instance of: scholarly article
title: An explicit two-step method exact for the scalar test equation \(y'= \lambda y\)
zbMATH Open document ID: 0951.65065
DOI: 10.1016/S0898-1221(00)00058-4
publication date: 2000-12-06T00:00:00Z
review text: An explicit two-step method exact for the scalar test equation \(y'= \lambda y\), \(\text{Re}( \lambda) < 0\) is presented. It is an exponentially fitted, L-stable (thus, A-stable), and of order 2. With a new set of vector computations, the authors also extend directly the method to systems of ordinary differential equations. Numerical experiments demonstrate that this explicit two-step method is suitable for stiff systems.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1471590
zbMATH Keywords: stiff system
zbMATH Keywords: numerical examples
zbMATH Keywords: two-step method
zbMATH Keywords: L-stability
zbMATH Keywords: A-stability
zbMATH Keywords: exponential fitting
zbMATH Keywords: test equation
author: Xinyuan Wu
author: Jianlin Xia
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1471590