L. Oliveira, Allbens P. F. Atman, P. Faria, T. Mattos
{"title":"Efeito Casimir em Sistemas Granulares","authors":"L. Oliveira, Allbens P. F. Atman, P. Faria, T. Mattos","doi":"10.5540/03.2023.010.01.0043","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0043","url":null,"abstract":"","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"88 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139174786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modelagem do Efeito da Redução da Taxa de Comunicação em Aparelhos Auditivos Biauriculares","authors":"Vitor P. Curtarelli, M. H. Costa","doi":"10.5540/03.2023.010.01.0068","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0068","url":null,"abstract":"Resumo . Aparelhos auditivos biauriculares têm como objetivo a compensação de limitações na audição humana. Consistem em dois dispositivos de amplificação sonora posicionados nas orelhas","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"125 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. Wasques, E. Esmi, Cristina Sacilotto, L. C. Barros
{"title":"Fuzzy numerical solution to the Malthusian model via Jγ-interactive arithmetic","authors":"V. Wasques, E. Esmi, Cristina Sacilotto, L. C. Barros","doi":"10.5540/03.2023.010.01.0057","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0057","url":null,"abstract":". This work provides a numerical solution to the Malthusian model, considering the initial condition as a fuzzy value. The numerical solution is provided from Euler’s method, in which the operations built into the method are adapted to fuzzy numbers. This numerical solution is compatible with the analytical solution obtained from the generalized Hukuhara derivative. An example is presented to illustrate the methodology.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"18 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roberto Mamud, Carlos T. P. Zanini, H. Migon, Antônio J. Silva Neto
{"title":"Solution of advection-diffusion-reaction inverse problems with Physics-Informed Neural Networks","authors":"Roberto Mamud, Carlos T. P. Zanini, H. Migon, Antônio J. Silva Neto","doi":"10.5540/03.2023.010.01.0101","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0101","url":null,"abstract":". In this work, two inverse problems related to pollutant dispersion in a river considering the advection-dispersion-reaction equation are studied along with a Neural Network approach. The first inverse problem concerns the estimation of the reaction parameter in an homogeneous equation, and the second one concerns the estimation of source pollution location in the non-homogeneous case. Both inverse problems are solved by two multiplayer perceptron networks: the usual Artificial Neural Network (ANN) and the Physics-Informed Neural Network (PINN), which is a special type of neural network that includes the physical laws that describes the phenomena in its formulation . Numerical experiments related to both inverse problems with ANN and with PINN are presented, demonstrating the feasibility of the proposed approach.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"40 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Flutuações no Brilho da Via Láctea: Da Teoria de Ambartzumian ao Caso Fracionário.","authors":"Matheus Tobias Mendonça, S. R. Mazorche","doi":"10.5540/03.2023.010.01.0055","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0055","url":null,"abstract":"presente","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"46 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139176036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Roberto P. Souto, Maria Eugenia, S. Welter, Carla Osthoff, F. D. Barros, H. C. M. Furtado, Julio T. Silva, J. Anochi, Marcelo P. Ramos, H. Velho, Luiz A. V. Dias, S. B. Sambatti
{"title":"Data Assimilation on CoLab Environment: Methods and Application on Two Dynamical Systems","authors":"Roberto P. Souto, Maria Eugenia, S. Welter, Carla Osthoff, F. D. Barros, H. C. M. Furtado, Julio T. Silva, J. Anochi, Marcelo P. Ramos, H. Velho, Luiz A. V. Dias, S. B. Sambatti","doi":"10.5540/03.2023.010.01.0037","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0037","url":null,"abstract":". Data assimilation (DA) is an essential process to identify the best initial conditional by combining data from an observation system with a previous prediction from a numerical simulation of a given dynamical system. This paper describes the effort to develop a framework for testing different methods applied to two dynamical systems. The framework was implemented using the Google CoLab platform, and Octave free mathematical software. The dynamic systems used for testing is the Lorenz system under the chaotic regime, and 2D shallow water — for ocean circulation modeling.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"55 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139176306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Débora Beatriz, Claro Zanitti, José Augusto de Oliveira, Rafael Abrantes Penchel, Cintya Benedito, Ivan Aldaya
{"title":"Efeito do Crosstalk na Capacidade de Canal em Sistemas de Comunicações Ópticas com Multiplexação por Divisão Espacial","authors":"Débora Beatriz, Claro Zanitti, José Augusto de Oliveira, Rafael Abrantes Penchel, Cintya Benedito, Ivan Aldaya","doi":"10.5540/03.2023.010.01.0044","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0044","url":null,"abstract":"Resumo . A multiplexação por divisão espacial (SDM – spatial division multiplexing ) tem sido proposta como uma das soluções mais factíveis para superar o limite não linear de Shannon imposto pela combinação do ruído aditivo e as não linearidades da fibra em sistemas de comunicações ópticas. A SDM pode ser implementada usando fibras multi-modo ou de múltiplos núcleos, incrementando significativamente a capacidade de um enlace quando combinado com processamento de múltiplas-entradas e múltiplas-saídas (MIMO – multiple-inputs multiple-outputs ). Porém, diferente de outras estratégias de multiplexação, a SDM tende a sofrer um grande crosstalk entre os diferentes subcanais. No presente trabalho é estudado o efeito deste crosstalk na capacidade do canal, mostrando que para uma dimensão superior a 2, o crosstalk apresenta um efeito negativo inclusive quando processamento MIMO é utilizado. Palavras-chave . Comunicações Ópticas, Capacidade, MIMO, SDM, Crosstalk .","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":" 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138964518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"O uso de planilhas eletrônicas com alunos da educação básica para estudo de funções","authors":"D. R. Monteiro, Fundação Cecierj, Rio de Janeiro.","doi":"10.5540/03.2023.010.01.0076","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0076","url":null,"abstract":"","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":" 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138994735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pontos de equilíbrio e estabilidade em um modelo SIR fracionário construído com funções de Mittag-Leffler","authors":"S. R. Mazorche, Noemi Zeraick Monteiro","doi":"10.5540/03.2023.010.01.0082","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0082","url":null,"abstract":"Resumo . Trabalhos anteriores têm apontado para a necessidade de construção de um modelo SIR de ordem arbitrária com significado físico preciso. Para tanto, uma proposta é considerar a distribuição do tempo de espera no compartimento infeccioso e a dependência da idade de infecção na infectividade segundo funções de Mittag-Leffler. Este trabalho pretende completar discussões anteriores, exibindo demonstrações de resultados de estabilidade para o modelo proposto","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":" 13","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138994894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Franklin C. Barros, A. L. Madureira, Frédéric G. C. Valentin
{"title":"The Development of the Multiscale Hybrid-Hybrid-Mixed method","authors":"Franklin C. Barros, A. L. Madureira, Frédéric G. C. Valentin","doi":"10.5540/03.2023.010.01.0105","DOIUrl":"https://doi.org/10.5540/03.2023.010.01.0105","url":null,"abstract":". This work develops the Multiscale Hybrid-Hybrid Mixed method - MH 2 M. This is a finite element method that efficiently solves elliptic partial differential equations with multiscale heterogeneous coefficients. The starting point is the Three-field domain decomposition formulation, which searches a function, defined within each subdomain, and two Lagrange multipliers: the flow and trace of the function posed on interfaces. This setting allows different discretizations in each subdomain, as well as the use of different numerical methods to solve local problems. After the decomposition of functional spaces and two static condensations, the MH 2 M method arises by solving independent local Neumann problems in parallel. It results that the method solves an elliptic global problem posed at interfaces instead of the more complicated three-field formulation. In addition to the lower computational cost, the use of iterative methods such as the conjugate gradient is possible. A proper compatibility condition enables a discretization using non-matching grids, preserving stability. Finally, we establish error estimates for a pair of compatible finite element spaces.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":" 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138995001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}