39 citations · 61 across the 9 of their papers we have counts for
9 papers
Chemotaxis-inspired PDE models of airborne infectious disease transmission: epidemiologically-motivated mathematical and numerical analyses
Alex Viguerie, Malú Grave, Alvaro L. G. A. Coutinho +2
Partial differential equation (PDE) models for infectious diseases, while less common than their ordinary differential equation (ODE) counterparts, have found successful applicatio…
Enhancing Dynamic Mode Decomposition Workflow with In-Situ Visualization and Data Compression
Gabriel F. Barros, Malú Grave, José J. Camata +1
Modern computational science and engineering applications are being improved by the advances in scientific machine learning. Data-driven methods such as Dynamic Mode Decomposition…
Modeling nonlocal behavior in epidemics via a reaction-diffusion system incorporating population movement along a network
Malú Grave, Alex Viguerie, Gabriel F. Barros +3
The outbreak of COVID-19, beginning in 2019 and continuing through the time of writing, has led to renewed interest in the mathematical modeling of infectious disease. Recent works…
Data-driven simulation of Fisher-Kolmogorov tumor growth models using Dynamic Mode Decomposition
Alex Viguerie, Malú Grave, Gabriel F. Barros +3
The computer simulation of organ-scale biomechanistic models of cancer personalized via routinely collected clinical and imaging data enables to obtain patient-specific predictions…
Comparing the convected level-set and the Allen-Cahn phase-field methods in AMR/C simulations of two-phase flows
Malú Grave, Alvaro L. G. A. Coutinho
The modeling and simulation of two-phase flows is still an active research area, mainly when surface tension is present. One way to model the different phases is with interface cap…
Coupled and Uncoupled Dynamic Mode Decomposition in Multi-Compartmental Systems with Applications to Epidemiological and Additive Manufacturing Problems
Alex Viguerie, Gabriel F. Barros, Malú Grave +2
Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability…
Dynamic Mode Decomposition in Adaptive Mesh Refinement and Coarsening Simulations
Gabriel F. Barros, Malú Grave, Alex Viguerie +2
Dynamic Mode Decomposition (DMD) is a powerful data-driven method used to extract spatio-temporal coherent structures that dictate a given dynamical system. The method consists of…
Assessing the spatio-temporal spread of COVID-19 via compartmental models with diffusion in Italy, USA, and Brazil
Malú Grave, Alex Viguerie, Gabriel F. Barros +2
The outbreak of COVID-19 in 2020 has led to a surge in interest in the mathematical modeling of infectious diseases. Such models are usually defined as compartmental models, in whi…
Adaptive Mesh Refinement and Coarsening for Diffusion-Reaction Epidemiological Models
Malú Grave, Alvaro L. G. A. Coutinho
The outbreak of COVID-19 in 2020 has led to a surge in the interest in the mathematical modeling of infectious diseases. Disease transmission may be modeled as compartmental models…