3 citations · 4 across the 5 of their papers we have counts for
6 papers
PSO and the Traveling Salesman Problem: An Intelligent Optimization Approach
Kael Silva Araújo, Francisco Márcio Barboza
The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem that aims to find the shortest possible route that visits each city exactly once and returns…
The Mean Value Theorem: Analytical Proof and Computational Approaches
Márcio Matheus de Lima Barboza, Francisco Márcio Barboza
In this paper, we explore two fundamental theorems of differential calculus: Rolle's Theorem and the Mean Value Theorem (MVT). These theorems play a crucial role in the development…
Newton's Method Applied to Nonlinear Boundary Value Problems: A Numerical Approach
Rusdrael Antony de Araújo Freire, Francisco Márcio Barboza, Márcio Matheus de Lima Barboza
This work investigates the application of the Newton's method for the numerical solution of a nonlinear boundary value problem formulated through an ordinary differential equation…
2D Basement Relief Inversion using Sparse Regularization
Francisco Márcio Barboza, Arthur Anthony da Cunha Romão E Silva, Bruno Motta de Carvalho
Basement relief gravimetry is crucial in geophysics, especially for oil exploration and mineral prospecting. It involves solving an inverse problem to infer geological model parame…
Noise Removal in One-Dimensional Signals using Iterative Shrinkage Total Variation Algorithm
Joyce Oliveira dos Santos, Francisco Márcio Barboza
The total variation filtering technique emerges as a highly effective strategy for restoring signals with discontinuities in various parts of their structure. This study presents a…
Practical Applications of Unidimensional Optimization Using Octave
Erick Clapton de Lima Silva, Francisco Márcio Barboza
This paper suggests integrating one-dimensional optimization methods to tackle diverse problems, emphasizing their significance in resolving practical issues and applying mathemati…