70 citations · 332 across the 25 of their papers we have counts for
3 papers · 1 filter
Lumped finite element method for reaction-diffusion systems on compact surfaces
Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura +1
We propose and analyse a novel surface finite element method that preserves the invariant regions of systems of semilinear parabolic equations on closed compact surfaces in $\mathb…
A Bayesian approach to parameter identification with an application to Turing systems
Eduard Campillo-Funollet, Chandrasekhar Venkataraman, Anotida Madzvamuse
We present a Bayesian methodology for infinite as well as finite dimensional parameter identification for partial differential equation models. The Bayesian framework provides a ri…
A computational approach for mode isolation for reaction-diffusion systems on arbitrary geometries
Laura Murphy, Chandrasekhar Venkataraman, Anotida Madzvamuse
In this article we present a computational framework for isolating spatial patterns arising in the steady states of reaction-diffusion systems. Such systems have been used to model…