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assets/blog/2021/02/time_ave_bounds_vanderpol_in_Julia/code/output/vanderpolsolt.out
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Failed to precompile PlotlyJS [f0f68f2c-4968-5e81-91da-67840de0976a] to "/home/runner/.julia/compiled/v1.10/PlotlyJS/jl_cGiAsn". | ||
Failed to precompile PlotlyJS [f0f68f2c-4968-5e81-91da-67840de0976a] to "/home/runner/.julia/compiled/v1.10/PlotlyJS/jl_OmJ0oL". |
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{{ if pt_lang }} | ||
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#### ⟩⟩⟩ **Aspectos teóricos e numéricos de equações diferenciais estocásticas e aleatórias 2024/1** | ||
#### ⟩⟩⟩ **Disciplina: Aspectos teóricos e numéricos de equações diferenciais estocásticas e aleatórias 2024/1** | ||
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Veja aqui [informações sobre essa disciplina, período 2024/1](/pages/ensino/#20241_aspectos_teóricos_e_numéricos_de_equações_diferenciais_estocásticas_e_aleatórias) com [espelho na pós-graduação](/pages/ensino/#20241_aspectos_teóricos_e_numéricos_de_equações_diferenciais_estocásticas_e_aleatórias_-_pgmat). | ||
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#### ⟩⟩⟩ **Equações Diferenciais 2024/1** | ||
#### ⟩⟩⟩ **Disciplina: Equações Diferenciais 2024/1** | ||
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Veja aqui [informações sobre a disciplina de Equações Diferenciais, período 2024/1](/pages/ensino/#20241_equações_diferenciais). | ||
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#### ⟩⟩⟩ **Equações Diferenciais 2023/2** | ||
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Veja aqui [informações sobre a disciplina de Equações Diferenciais, período 2023/2](/pages/ensino/#20232_equações_diferenciais). | ||
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#### ⟩⟩⟩ **Álgebra Linear Avançada/Álgebra Linear Mestrado 2023/2** | ||
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Veja aqui [informações sobre a disciplina de Álgebra Linear Avançada, período 2023/2](/pages/ensino/#20232_álgebra_linear_avançada) com espelho na [Álgebra Linear do Mestrado 2023/2](/pages/ensino/#20232_álgebra_linear_do_mestrado) | ||
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#### ⟩⟩⟩ Publicado artigo sobre estimativas ótimas em volume especial homenageando Ciprian Foias | ||
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Meu artigo mais recente ([*"Optimal minimax bounds for time and ensemble averages for the incompressible Navier-Stokes equations"*](http://yokohamapublishers.jp/online2/oppafa/vol7/p327.html)), de co-autoria com [Roger Temam](https://math.indiana.edu/about/faculty/temam-roger.html), foi publicado na revista [Pure and Applied Functional Analysis](http://yokohamapublishers.jp/pafa.html), em um [volume especial](http://www.yokohamapublishers.jp/online2/pafav7n1.html) em homenagem póstuma a [Ciprian Foias](https://www.richardsonfuneralhome.org/obituary/Ciprian-Foias). | ||
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#### ⟩⟩⟩ Pacote **[ChainPlots.jl](https://github.com/rmsrosa/ChainPlots.jl)** | ||
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[ChainPlots.jl](https://github.com/rmsrosa/ChainPlots.jl) é um pacote para exibir a topologia de uma rede neural construída pelo pacote [FluxML/Flux.jl](https://github.com/FluxML/Flux.jl). O pacote amadureceu o suficiente para ser registrado e já conta com mais de 25 estrelas no github. Mas ainda está em desenvolvimento, com muitas melhorias a serem implementadas. | ||
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#### ⟩⟩⟩ **Aspectos teóricos e numéricos de equações diferenciais estocásticas e aleatórias 2022/1** | ||
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Veja aqui [informações sobre essa disciplina, período 2022/1](/pages/ensino/#20221_aspectos_teóricos_e_numéricos_de_equações_diferenciais_estocásticas_e_aleatórias) | ||
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#### ⟩⟩⟩ **Modelagem Matemática 2022/1** | ||
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Veja aqui [informações sobre a disciplina de Modelagem Matemática, período 2022/1](/pages/ensino/#20221_modelagem_matemática). | ||
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#### ⟩⟩⟩ Pacote **[UnitfulBuckinghamPi.jl](https://github.com/rmsrosa/UnitfulBuckinghamPi.jl)** | ||
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[UnitfulBuckinghamPi.jl](https://github.com/rmsrosa/UnitfulBuckinghamPi.jl) é o meu primeiro pacote [Julia](https://www.julialang.org) registrado! O seu objetivo é extrair os grupos adimensionais de uma lista de parâmetros. Os parâmetros devem ser definidos como quantidades, unidades ou dimensões do pacote [Unitful.jl](https://github.com/PainterQubits/Unitful.jl). Veja mais informações no blog, artigo [Buckingham-Pi Theorem and the UnitfulBuckinghamPi.jl package](/blog/2021/05/unitfulbuckinghampi/). | ||
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#### ⟩⟩⟩ **Novo artigo no blog** | ||
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Neste novo artigo [Computing time average bounds for the Van der Pol oscillator in Julia](/blog/2021/02/time_ave_bounds_vanderpol_in_Julia/), continuo a discussão iniciada no artigo anterior, ilustrando a teoria com o oscilador de Van der Pol. É interessante examinar o comportamento do ciclo limite ao longo da superfície da função auxiliar que minimiza a estimativa da média temporal. | ||
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{{ else }} | ||
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#### ⟩⟩⟩ Article on optimal estimates for the Navier-Stokes equations publised in a special volume in honnor of Ciprian Foias | ||
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My most recent article ([*"Optimal minimax bounds for time and ensemble averages for the incompressible Navier-Stokes equations"*](http://yokohamapublishers.jp/online2/oppafa/vol7/p327.html)), co-authored with [Roger Temam](https://math.indiana.edu/about/faculty/temam-roger.html), was published in [Pure and Applied Functional Analysis](http://yokohamapublishers.jp/pafa.html), in a [special volume](http://www.yokohamapublishers.jp/online2/pafav7n1.html) in honnor of [Ciprian Foias](https://www.richardsonfuneralhome.org/obituary/Ciprian-Foias). | ||
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### ⟩⟩⟩ Stochastic and random ordinary differential equations | ||
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Just started teaching a course on theoretical and numerical aspects of stochastic and random ordinary differential equations. First time teaching it. It is gonna be a fun ride. Lecture notes in Portuguese availabe on [rmsrosa.github.io/notas_sde](https://rmsrosa.github.io/notas_sde/). | ||
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#### ⟩⟩⟩ **[ChainPlots.jl](https://github.com/rmsrosa/ChainPlots.jl)** | ||
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[ChainPlots.jl](https://github.com/rmsrosa/ChainPlots.jl) is my latest registered package. Its purpose is to display the topology of neural networks built with [FluxML/Flux.jl](https://github.com/FluxML/Flux.jl). | ||
### ⟩⟩⟩ Teaching: Stochastic and random ordinary differential equations | ||
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#### ⟩⟩⟩ **[UnitfulBuckinghamPi.jl](https://github.com/rmsrosa/UnitfulBuckinghamPi.jl) Package** | ||
I am teaching, for the third time, a course on theoretical and numerical aspects of stochastic and random ordinary differential equations. Lecture notes in Portuguese availabe at [rmsrosa.github.io/notas_sde](https://rmsrosa.github.io/notas_sde/). | ||
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[UnitfulBuckinghamPi.jl](https://github.com/rmsrosa/UnitfulBuckinghamPi.jl) is my first registered [Julia](https://www.julialang.org) package! It is based on the package [Unitful.jl](https://github.com/PainterQubits/Unitful.jl). The aim of `UnitfulBuckinghamPi.jl` is to *solve for the adimensional Pi groups in a list of Unitful parameters, according to the Buckingham-Pi Theorem*. More information in the blog post [Buckingham-Pi Theorem and the UnitfulBuckinghamPi.jl package](/blog/2021/05/unitfulbuckinghampi/). | ||
### ⟩⟩⟩ Teaching: Differential equations | ||
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#### ⟩⟩⟩ **New blog post** | ||
I am also teaching the usual second-year undergraduate course on ordinary differential equations, with my lecture notes available in Portuguese at [Equações Diferenciais versão ago/2022](/assets/material/apostila-ed-ago2022.pdf). | ||
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In this new post [Computing time average bounds for the Van der Pol oscillator in Julia](/blog/2021/02/time_ave_bounds_vanderpol_in_Julia/), I continue the problem discussed in the previous post, by exemplifying the theory with the Van der Pol oscillator. It is illustrative to visualize the behavior of the limit cycle along the surface of the auxiliary function that minimizes the estimate of the time average. | ||
{{ end }} | ||
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#### ⟩⟩⟩ **Blog** | ||
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{{ if pt_lang }} | ||
Eu costumava ter um blog sobre fabricação de cerveja caseira e finalmente decidi fazer [novo blog](/pages/blog/), incluindo matemática e programação. Aqui o artigo inicial [Greetings](/blog/2021/02/greetings/) e o primeiro artigo [Time average bounds via Sum of Squares](/blog/2021/02/time_ave_bounds_SoS/) com conteúdo matemático, sobre o meu mais recente trabalho de pesquisa. | ||
{{ else }} | ||
I used to have a blog about homebrewing, and I finally decided to revamp the blog [here](/pages/blog_en/), including Math and coding. Here are the initial [Greetings](/blog/2021/02/greetings/) post and the first mathematical post entitled [Time average bounds via Sum of Squares](/blog/2021/02/time_ave_bounds_SoS/). | ||
{{ end }} | ||
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#### ⟩⟩⟩ **Slides of my talk at the ICMC Summer Meeting** | ||
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Here are [the slides of my talk](/assets/material/Apr_ICMCSummer_RR_fev2021.pdf) in the Special Session on Fluid Dynamics, at the [ICMC Summer Meeting on Differential Equations - Chapter 2021](http://summer.icmc.usp.br/summers/summer21/). | ||
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#### ⟩⟩⟩ **ICMC Summer Meeting on Differential Equations 2021** | ||
#### ⟩⟩⟩ **Slides of my talk at the VI Workshop on Fluids and PDEs - Oct 2023** | ||
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On February 2, at 3pm, I am scheduled to give a talk in the Special Session on Fluid Dynamics, at the [ICMC Summer Meeting on Differential Equations - Chapter 2021](http://summer.icmc.usp.br/summers/summer21/). I will address my newest article, written jointly with [Roger Temam (Indiana University)](https://math.indiana.edu/about/faculty/temam-roger.html) and entitled "Optimal minimax bounds for time and ensemble averages of dissipative infinite-dimensional systems with applications to the incompressible Navier-Stokes equations", currently availabe at [arxiv.org/abs/2010.06730](https://arxiv.org/abs/2010.06730). | ||
Here are [the slides of my talk](/assets/material/Apr_WorkshopFluidsPDE | ||
sVI_oct2023.pdf) at the [VI Workshop on Fluids and PDE](https://www.ime.unicamp.br/~viwfpde/index.php/venue/), *Celebrating the 60th birthdays of Helena J. Nussenzveig Lopes and Milton C. Lopes Filho.* |
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