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Abstract: Parametric ordinary differential equations arise in many areas of science and engineering. Since some of the data is uncertain and given by intervals, traditional numerical methods do not apply. Interval methods provide a way to approach these problems but they often suffer from a loss in precision and high computation costs. This paper presents a constraint satisfaction approach that enhances interval methods with a pruning step based on a global relaxation of the problem. Theoretical ... (Update)
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BibTeX entry: (Update)
M. Janssen, P. Van Hentenryck, and Y. Deville. A Constraint Satisfaction Approach to Parametric Differential Equations In Joint International Conference on Artificial Intelligence (IJCAI-2001. http://citeseer.ist.psu.edu/article/janssen01constraint.html More
@inproceedings{ janssen01constraint,
author = "Micha Janssen and Pascal Van Hentenryck and Yves Deville",
title = "A Constraint Satisfaction Approach to Parametric Differential Equations",
booktitle = "{IJCAI}",
pages = "297-302",
year = "2001",
url = "citeseer.ist.psu.edu/article/janssen01constraint.html" }
Citations (may not include all citations):346 Introduction to Numerical Analysis (context) - Stoer, Bulirsch - 1980
229 Solving Ordinary Differential Equations (context) - Hairer, Nrsett et al. - 1987
204 Methods and Applications of Interval Analysis (context) - Moore - 1979
44 Numerica: a Modeling Language for Global Optimization - Van Hentenryck, Michel et al. - 1997
28 Enclosing the solutions of ordinary initial and boundary val.. (context) - Lohner - 1987
17 Consistency Techniques in Ordinary Differential Equations - Deville, Janssen et al. - 1998
10 An Interval HermiteObreschkoff Method for Computing Rigorous.. - Nedialkov, Jackson - 1999
9 Implicit Methods for Enclosing Solutions of ODEs (context) - Rihm - 1998
9 Multistep Filtering Operators for Ordinary Differential Equa.. - Janssen, Deville et al. - 1999
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