An extension of the Prelle-Singer method and a Maple implementation
type: Item
instance of: scholarly article
title: An extension of the Prelle-Singer method and a Maple implementation
zbMATH Open document ID: 0994.65082
DOI: 10.1016/S0010-4655(01)00462-3
author: L. G. S. Duarte
author: S. E. S. Duarte
author: L. A. C. P. da Mota
author: James E. F. Skea
published in: Computer Physics Communications
publication date: 2002-05-15T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65Y15
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 1741648
zbMATH Keywords: first-order ordinary differential equation
zbMATH Keywords: symbolic computation
zbMATH Keywords: Liouvillian and elementary functions
zbMATH Keywords: semi-decision algorithm
zbMATH Keywords: Prelle-Singer method
zbMATH Keywords: software package
describes a project that uses: Maple
describes a project that uses: ODEtools
MaRDI profile type: Publication
cites work: Liouvillian First Integrals of Differential Equations
cites work: The Problem of Integration in Finite Terms
cites work: Elementary First Integrals of Differential Equations
cites work: Lifting canonical algorithms from a ring R to the ring R[x]
cites work: Q5781389
cites work: Q4692893
cites work: Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
cites work: Q3803878
cites work: Computing closed form solutions of first order ODEs using the Prelle- Singer procedure
cites work: Computer algebra solving of first order ODEs using symmetry methods
cites work: Computer algebra solving second order ODEs using symmetry methods
cites work: Algebraic Properties of the Elementary Functions of Analysis
full work available at URL: s0010-4655(01)00462-3
OpenAlex ID: W2019870274
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description: scientific article; zbMATH DE number 1741648