Identifying Solution Constraints for ODE Systems
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908459155324928 |
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| author | Tarfulea, Nicolae |
| author_facet | Tarfulea, Nicolae |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identifying Solution Constraints for ODE Systems Tarfulea, Nicolae Optimization and Control Information Theory Numerical Analysis 34-04, 65-04 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. |
| title | Identifying Solution Constraints for ODE Systems |
| topic | Optimization and Control Information Theory Numerical Analysis 34-04, 65-04 |
| url | https://arxiv.org/abs/2507.15805 |