Skip to main content
Journal ArticleOPEN ACCESS

Essential Components of an Algebraic Differential Equation

Journal of Symbolic Computation (1999) 28(4-5) 657-680
DOI: 10.1006/jsco.1999.0319
20Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We present an algorithm to determine the essential singular components of an algebraic differential equation. Geometrically, this corresponds to determining the singular solutions that have enveloping properties. The algorithm is practical and efficient because it is factorization free, unlike the previous such algorithm. © 1999 Academic Press.

References Powered by Scopus

Direct methods for primary decomposition

Inventiones Mathematicae
144Citations
N/AReaders
Get full text

Specializations in differential algebra

Transactions of the American Mathematical Society
59Citations
N/AReaders
Get full text

A universal differential equation

Bulletin of the American Mathematical Society
51Citations
N/AReaders
Get full text
View more at Scopus

Cited by Powered by Scopus

On identifiability of nonlinear ODE models and applications in viral dynamics

SIAM Review
460Citations
N/AReaders
Get full text

Factorization-free decomposition algorithms in differential algebra

Journal of Symbolic Computation
90Citations
N/AReaders
Get full text

Notes on triangular sets and triangulation-decomposition algorithms II: Differential systems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
52Citations
N/AReaders
Get full text
View more at Scopus

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Hubert, E. (1999). Essential Components of an Algebraic Differential Equation. Journal of Symbolic Computation, 28(4–5), 657–680. https://doi.org/10.1006/jsco.1999.0319

Readers' Seniority

Tooltip

Professor / Associate Prof. 3

43%

Researcher 3

43%

PhD / Post grad / Masters / Doc 1

14%

Readers' Discipline

Tooltip

Mathematics 3

60%

Physics and Astronomy 1

20%

Computer Science 1

20%

Save time finding and organizing research with Mendeley

Sign up for free