3 papers
math.OC2024
On a Family of Relaxed Gradient Descent Methods for Quadratic Minimization
Liam MacDonald, Rua Murray, Rachael Tappenden
This paper studies the convergence properties of a family of Relaxed -Minimal Gradient Descent methods for quadratic optimization; the family includes the omnipresent Steepes…
q-bio.PE2023
Partial differential equation models for invasive species spread in the presence of spatial heterogeneity
Elliott Hughes, Miguel Moyers-Gonzalez, Rua Murray +1
Models of invasive species spread often assume that landscapes are spatially homogeneous; thus simplifying analysis but potentially reducing accuracy. We extend a recently develope…
q-bio.PE2023
A Mathematically Robust Model of Exotic Pine Invasions
Elliott Hughes, Miguel Moyers-Gonzalez, Rua Murray +1
Invasive pine trees pose a threat to biodiversity in a variety of Southern Hemisphere countries, but understanding of the dynamics of invasions and the factors that retard or accel…