2 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
Validated spectral stability via conjugate points
Margaret Beck, Jonathan Jaquette
Classical results from Sturm-Liouville theory state that the number of unstable eigenvalues of a scalar, second-order linear operator is equal to the number of associated conjugate…
Rigorous numerics for nonlinear heat equations in the complex plane of time
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette +1
In this paper, we introduce a method for computing rigorous local inclusions of solutions of Cauchy problems for nonlinear heat equations for complex time values. Using a solution…
Fractal Dimension Estimation with Persistent Homology: A Comparative Study
Jonathan Jaquette, Benjamin Schweinhart
We propose that the recently defined persistent homology dimensions are a practical tool for fractal dimension estimation of point samples. We implement an algorithm to estimate th…
A proof of Jones' conjecture
Jonathan Jaquette
In this paper, we prove that Wright's equation has a unique slowly oscillating periodic solution for parameter values , up…
Stability and Uniqueness of Slowly Oscillating Periodic Solutions to Wright's Equation
Jonathan Jaquette, Jean-Philippe Lessard, Konstantin Mischaikow
In this paper, we prove that Wright's equation has a unique slowly oscillating periodic solution (SOPS) for all parameter values ,…