Abstract
An in-progress pipeline based on B-series is proposed to solve reachability analysis of ordinary differential equations. First, a symbolic step generates a B-series and its associated truncation error. This later is symbolically optimized in order to reduce the over-estimation introduced by computation with sets. Finally, the B-series is evaluated with affine arithmetic and intervals to produce a guaranteed reachable tube.
| Original language | English |
|---|---|
| Pages (from-to) | 57-63 |
| Number of pages | 7 |
| Journal | ACM Communications in Computer Algebra |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Sept 2025 |
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