[ABE-L] Ciclo de Palestras - PPGE-IM/UFRJ - 15 de abril

[Daniel Ungaretti]

Caros colegas,

A próxima palestra do Ciclo de Palestras do Programa de Pós-graduação em
Estatística (PPGE) da UFRJ ocorrerá *quarta-feira, 15 de abril,* no horário
das *15h00* às 16h30, Local: Laboratório de Sistemas Estocásticos (LSE),
Sala I-044-B, Centro de Tecnologia - UFRJ.

*Palestrante:* Carlos Tadeu Pagani Zanini (UFRJ)

*Título:* A Bayesian physics-informed approach to inverse problems in heat
transfer and fluid mechanics

*Resumo:*

Parameter estimation in differential equation models is a fundamental
challenge in engineering applications requiring accurate estimation of
physical parameters for system design and optimization. This paper presents
a Bayesian framework for solving inverse problems in differential
equation-based models. Two approaches are developed: a mesh-based nonlinear
regression method and a mesh-free approach based on Bayesian
physics-informed Gaussian processes that eliminates mesh dependency while
incorporating physical constraints through differential linear operators.
Hamiltonian Monte Carlo and automatic differentiation variational inference
are implemented and compared for posterior approximation. The framework is
demonstrated through three applications: advection-diffusion-reaction
systems for environmental contamination modelling, exponential growth
models for thermal property estimation, and the nonlinear Burgers equation
via the Cole-Hopf transformation.

Mais informações:
https://ppge.im.ufrj.br/ciclo-de-palestras-primeiro-semestre-de-2026/

Organizadores: Carlos Zanini e Daniel Ungaretti

Atenciosamente,
Daniel Ungaretti
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