Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0043
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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0068
Vitor P. Curtarelli, M. H. Costa
Resumo . Aparelhos auditivos biauriculares têm como objetivo a compensação de limitações na audição humana. Consistem em dois dispositivos de amplificação sonora posicionados nas orelhas
摘要 .双耳助听器旨在弥补人类听力的不足。它们由安装在耳朵里的两个声音放大装置组成
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0057
V. Wasques, E. Esmi, Cristina Sacilotto, L. C. Barros
. 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.
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0101
Roberto Mamud, Carlos T. P. Zanini, H. Migon, Antônio J. Silva Neto
. 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.
.在这项工作中，采用神经网络方法研究了与河流中污染物扩散有关的两个反问题，即平流-扩散-反应方程。第一个逆问题涉及均质方程中反应参数的估算，第二个问题涉及非均质情况下污染源位置的估算。这两个逆问题都是由两个多玩家感知器网络解决的：普通的人工神经网络（ANN）和物理信息神经网络（PINN），后者是一种特殊类型的神经网络，在其表述中包含了描述现象的物理定律。本文介绍了与使用 ANN 和 PINN 的逆问题相关的数值实验，证明了所建议方法的可行性。
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0055
Matheus Tobias Mendonça, S. R. Mazorche
presente
礼品
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0037
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
. 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.
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0044
Débora Beatriz, Claro Zanitti, José Augusto de Oliveira, Rafael Abrantes Penchel, Cintya Benedito, Ivan Aldaya
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 .
摘要 .空间分复用（SDM）是克服光通信系统中加法噪声和光纤非线性共同造成的非线性香农限制的最可行解决方案之一。SDM 可通过多模或多芯光纤实现，与多输入多输出（MIMO）处理相结合，可显著提高链路的容量。然而，与其他多路复用策略不同，SDM 往往会受到不同子信道之间大量串扰的影响。本文研究了这种串扰对信道容量的影响，结果表明，当维度大于 2 时，即使使用 MIMO 处理，串扰也会产生负面影响。关键词 .光通信 容量 MIMO SDM 串扰 .
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0076
D. R. Monteiro, Fundação Cecierj, Rio de Janeiro.
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0082
S. R. Mazorche, Noemi Zeraick Monteiro
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
摘要 .以往的工作表明，有必要建立一个具有精确物理意义的任意阶 SIR 模型。为此，一种建议是根据 Mittag-Leffler 函数考虑感染区等待时间的分布和感染年龄对感染率的依赖性。这项工作旨在完成之前的讨论，展示所提议模型的稳定性结果。
{"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}
Pub Date : 2023-12-18DOI: 10.5540/03.2023.010.01.0105
Franklin C. Barros, A. L. Madureira, Frédéric G. C. Valentin
. 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.
.这项研究开发了多尺度混合-混合混合方法 - MH 2 M。这是一种有限元方法，可有效求解具有多尺度异质系数的椭圆偏微分方程。该方法的出发点是三域分解公式，即在每个子域内定义一个函数，并搜索两个拉格朗日乘数：函数在界面上的流动和迹线。这种设置允许在每个子域中进行不同的离散化，以及使用不同的数值方法来解决局部问题。在对函数空间和两个静态凝聚进行分解后，通过并行求解独立的局部诺伊曼问题，产生了 MH 2 M 方法。其结果是，该方法解决的是界面上的椭圆全局问题，而不是更复杂的三场公式。除了降低计算成本外，还可以使用共轭梯度等迭代方法。通过适当的兼容性条件，可以使用非匹配网格进行离散化，从而保持稳定性。最后，我们建立了一对兼容有限元空间的误差估计。
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：