computational algebra 1finite-time blow-up 1parameter landscapes 1phase space compactification 1polynomial ODEs 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.DS2026
Blow-up Parameter Landscapes for Polynomial Dynamical Systems
Emil Graf, Ioannis G. Kevrekidis, Alex Townsend
The paper presents a numerical method that automatically identifies regions in parameter space where polynomial ordinary differential equations exhibit finite-time blow‑up, using p…
math.NA2025
A Hidden Variable Resultant Method for the Polynomial Multiparameter Eigenvalue Problem
Emil Graf, Alex Townsend
We present a novel, global algorithm for solving polynomial multiparameter eigenvalue problems (PMEPs) by leveraging a hidden variable tensor Dixon resultant framework. Our method…