5 papers
Basins of attraction and critical curves for Newton-type methods in a phase equilibrium problem
Gustavo Mendes Platt, Fran Sérgio Lobato, Gustavo Barbosa Libotte +1
Many engineering problems are described by systems of nonlinear equations, which may exhibit multiple solutions, in a challenging situation for root-finding algorithms. The existen…
Geometrical Tools for Teaching Azeotropy Using Simplified Thermodynamic Models
Gustavo Mendes Platt, Gustavo Barbosa Libotte, Francisco Duarte Moura Neto +2
In this work we propose a geometric view of the azeotropy problem, using some simplified models. We demonstrate that the occurrence of azeotropes in binary mixtures can be viewed-g…
Identification of an Epidemiological Model to Simulate the COVID-19 Epidemic using Robust Multi-objective Optimization and Stochastic Fractal Search
Gustavo Barbosa Libotte, Fran Sérgio Lobato, Gustavo Mendes Platt
Traditionally, the identification of parameters in the formulation and solution of inverse problems considers that models, variables and mathematical parameters are free of uncerta…
MDE-ITMF and DEwI: Two New Multiple Solution Algorithms for Multimodal Optimization
Vinícius Magno de Oliveira Coelho, Gustavo Barbosa Libotte, Francisco Duarte Moura Neto +2
Mathematical formulations of real world optimization studies frequently present characteristics such as non-linearity, discontinuity and high complexity. This class of problems may…
Determination of an Optimal Control Strategy for Vaccine Administration in COVID-19 Pandemic Treatment
Gustavo Barbosa Libotte, Fran Sérgio Lobato, Gustavo Mendes Platt +1
During decades, mathematical models have been used to predict the behavior of physical and biologic systems, and to define strategies aiming the minimization of the effects regardi…