3 papers
math.NA2026
Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
Andrés Miniguano-Trujillo, Andrea Poiatti, Maurizio Grasselli +2
The nonlocal Cahn-Hilliard equation provides a natural extension of the classical model for phase separation by incorporating long-range interactions through a singular convolution…
math.NA2025
Efficient nonlocal linear image denoising: Bilevel optimization with Nonequispaced Fast Fourier Transform and matrix-free preconditioning
Andrés Miniguano-Trujillo, John W. Pearson, Benjamin D. Goddard
We present a new approach for nonlocal image denoising, based around the application of an unnormalized extended Gaussian ANOVA kernel within a bilevel optimization algorithm. A cr…
math.OC2024
A Constrained Optimisation Framework for Parameter Identification of the SIRD Model
Andrés Miniguano-Trujillo, John W. Pearson, Benjamin D. Goddard
We consider a numerical framework tailored to identifying optimal parameters in the context of modelling disease propagation. Our focus is on understanding the behaviour of optimis…