The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems
type: Item
instance of: scholarly article
title: The vector form of a sixth-order \(A\)-stable explicit one-step method for stiff problems
zbMATH Open document ID: 0954.65059
DOI: 10.1016/S0898-1221(99)00349-1
publication date: 2001-01-25T00:00:00Z
review text: For the numerical solution of an initial value problem for a system of ordinary differential equations, the authors extend a deformed sixth-order Taylor series method derived earlier by the first author for a single equation. A new type of vector product and quotient are introduced, which allow to apply the method, directly to a system of differential equations. The method has order at least 6 and is \(A\)-stable. Numerical experiments are performed for three different initial value problems.
reviewed by: Iulian Coroian
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1471573
zbMATH Keywords: initial value problem
zbMATH Keywords: numerical experiments
zbMATH Keywords: modified Taylor series method
zbMATH Keywords: stiff problem
zbMATH Keywords: stability
zbMATH Keywords: system of ordinary differential equations
author: Xinyuan Wu
author: Jianlin Xia
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1471573