{"ID":2892371,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.15805","arxiv_id":"2507.15805","title":"Identifying Solution Constraints for ODE Systems","abstract":"This work develops a framework to discover relations between the components of the solution to a given initial-value problem for a first-order system of ordinary differential equations. This is done by using sparse identification techniques on the data represented by the numerical solution of the initial-value problem at hand. The only assumption is that there are only a few terms that connects the components, so that the mathematical relations to be discovered are sparse in the set of possible functions. We illustrate the method through examples of applications.","short_abstract":"This work develops a framework to discover relations between the components of the solution to a given initial-value problem for a first-order system of ordinary differential equations. This is done by using sparse identification techniques on the data represented by the numerical solution of the initial-value problem...","url_abs":"https://arxiv.org/abs/2507.15805","url_pdf":"https://arxiv.org/pdf/2507.15805v1","authors":"[\"Nicolae Tarfulea\"]","published":"2025-07-21T17:05:12Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"cs.IT\",\"math.NA\"]","methods":"[]","has_code":false}