Computational algorithms for ordinary differential equations

Warwick Tucker

doi:10.1142/9789812792617_0015

Computational algorithms for ordinary differential equations

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

Abstract

We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of interval arithmetic. We illustrate the presented method by computing solution sets for two explicit systems.

Original language	English
Title of host publication	Proceedings of the International Conference on Differential Equations
Subtitle of host publication	EQUADIFF 99
Editors	Bernold Fiedler, Konrad Groger, Jurgen Sprekels
Place of Publication	Singapore
Publisher	World Scientific Publishing
Pages	71-76
Number of pages	6
Volume	1
DOIs	https://doi.org/10.1142/9789812792617_0015
Publication status	Published - 4 Oct 1999
Externally published	Yes

Access to Document

10.1142/9789812792617_0015

Cite this

@inproceedings{7ad08b9539764c8b9814eefdd6f999a3,

title = "Computational algorithms for ordinary differential equations",

abstract = "We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of interval arithmetic. We illustrate the presented method by computing solution sets for two explicit systems.",

author = "Warwick Tucker",

year = "1999",

month = oct,

day = "4",

doi = "10.1142/9789812792617\_0015",

language = "English",

volume = "1",

pages = "71--76",

editor = "Bernold Fiedler and Konrad Groger and Jurgen Sprekels",

booktitle = "Proceedings of the International Conference on Differential Equations",

publisher = "World Scientific Publishing",

address = "Singapore",

}

Computational algorithms for ordinary differential equations. / Tucker, Warwick.
Proceedings of the International Conference on Differential Equations: EQUADIFF 99. ed. / Bernold Fiedler; Konrad Groger; Jurgen Sprekels. Vol. 1 Singapore: World Scientific Publishing, 1999. p. 71-76.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research

TY - GEN

T1 - Computational algorithms for ordinary differential equations

AU - Tucker, Warwick

PY - 1999/10/4

Y1 - 1999/10/4

N2 - We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of interval arithmetic. We illustrate the presented method by computing solution sets for two explicit systems.

AB - We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of interval arithmetic. We illustrate the presented method by computing solution sets for two explicit systems.

U2 - 10.1142/9789812792617_0015

DO - 10.1142/9789812792617_0015

M3 - Conference Paper

VL - 1

SP - 71

EP - 76

BT - Proceedings of the International Conference on Differential Equations

A2 - Fiedler, Bernold

A2 - Groger, Konrad

A2 - Sprekels, Jurgen

PB - World Scientific Publishing

CY - Singapore

ER -