Formal Solutions of Singularly Peturbed Linear Differential Systems
Moulay A. Barkatou, Suzy S. Maddah
TL;DR
This paper develops algorithms to compute formal invariants of singularly-perturbed linear differential systems near turning points, implemented in Maple, aiding in understanding their behavior.
Contribution
It introduces new algorithms for computing formal invariants of singularly-perturbed systems, implemented in Maple, advancing analytical tools in this area.
Findings
Algorithms successfully compute formal invariants near turning points.
Implementation in Maple facilitates practical application.
Enhances understanding of singular perturbation behavior.
Abstract
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in neighborhood of turning points and give algorithms which allow their computation. The algorithms proposed are implemented in the computer algebra system Maple.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Material Science and Thermodynamics · Differential Equations and Numerical Methods