11 citations · 11 across the 2 of their papers we have counts for
2 papers
math.CA2026
A Riemann-Hilbert approach to the computation of transform pairs
Kaitlynn Lilly, Thomas Trogdon
We develop a unified methodology that integrates spectral theory, Riemann-Hilbert problems, and inverse scattering theory for the construction and numerical evaluation of transform…
math.AP2022★ 11 cited
Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction-diffusion equations
Paul Carter, Arjen Doelman, Kaitlynn Lilly +2
We consider a class of singularly perturbed 2-component reaction-diffusion equations which admit bistable traveling front solutions, manifesting as sharp, slow-fast-slow, interface…