ODE-IVP-PACK via Sinc indefinite integration and Newton's method
type: Item
instance of: scholarly article
title: ODE-IVP-PACK via Sinc indefinite integration and Newton's method
zbMATH Open document ID: 0934.65071
DOI: 10.1023/A:1019108002140
author: B. Keyes
author: M. O'Reilly
author: Frank Stenger
author: Sven-Åke Gustafson
author: Ken Parker
published in: Numerical Algorithms
publication date: 2000-04-03T00:00:00Z
review text: The paper describes a package of programs written in Fortran-77 for initial value problems (IVPs) for systems of ordinary differential equations (ODEs). The algorithm behind this package is based on Sinc indefinite integration. The numerical method is efficient for a general class of differential equations, but it excels for problem solutions with endpoint singularities. It can also treat stiff and boundary layer problems and it is proved to be stable and convergent. The interval on which a numerical solution is computed can be finite, semi-infinite, the entire real line or a contour in the complex plane.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65Y15
Mathematics Subject Classification ID: 34-04
zbMATH DE Number: 1356061
zbMATH Keywords: systems
zbMATH Keywords: Sinc functions
zbMATH Keywords: Newton's method
zbMATH Keywords: program package
zbMATH Keywords: stiff systems
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: Sinc indefinite integration
zbMATH Keywords: endpoint singularities
zbMATH Keywords: boundary layer problems
reviewed by: Dana Petcu
MaRDI profile type: Publication
full work available at URL: a:1019108002140
OpenAlex ID: W2402719435
description: scientific article; zbMATH DE number 1356061