20 citations · 20 across the 3 of their papers we have counts for
5 papers
Spot Patterns in the 2-D Schnakenberg Model with Localized Heterogeneities
Tony Wong, Michael J. Ward
A hybrid asymptotic-numerical theory is developed to analyze the effect of different types of localized heterogeneities on the existence, linear stability, and slow dynamics of loc…
Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps
Sarafa A. Iyaniwura, Tony Wong, Colin B. Macdonald +1
The determination of the mean first passage time (MFPT) for a Brownian particle in a bounded 2-D domain containing small absorbing traps is a fundamental problem with biophysical a…
Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion Systems
Tony Wong, Michael J. Ward
Spatially localized 2-D spot patterns occur for a wide variety of two component reaction-diffusion systems in the singular limit of a large diffusivity ratio. Such localized, far-f…
Simulation and Optimization of Mean First Passage Time Problems in 2-D using Numerical Embedded Methods and Perturbation Theory
Sarafa Iyaniwura, Tony Wong, Michael J. Ward +1
We develop novel numerical methods and perturbation approaches to determine the mean first passage time (MFPT) for a Brownian particle to be captured by either small stationary or…
Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents
Guoqiao You, Tony Wong, Shingyu Leung
We propose a new Eulerian numerical approach for constructing the forward flow maps in continuous dynamical systems. The new algorithm improves the original formulation developed i…