Consistency techniques in ordinary differential equations
(1998) 4th International Conference on Principles and Practice of Constraint Programming (CP 98) — Location: PISA(Italy) (26.October.1998)
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- Abstract
- This paper studies the application of interval analysis and consistency techniques to ordinary differential equations. It presents a unifying framework to extend traditional numerical techniques to intervals. In particular, it shows how to extend explicit methods to intervals. The paper also took a fresh look at the traditional problems encountered by interval techniques and studied how consistency techniques may help. It proposes to generalize interval techniques into a two-step process: a forward process that computes an enclosure and a backward process that reduces this enclosure. In addition, the paper studies how consistency techniques may help in improving the forward process and the wrapping effect.
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Deville, Y., Janssen, M., & Van Hentenryck, P. (1998). Consistency techniques in ordinary differential equations. Lecture Notes in Computer Science, 1520, 162-176. https://doi.org/10.1007/3-540-49481-2_13 (Original work published 1998)