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Pedro S. Peixoto
Associate Professor - Applied Mathematics
USP

People

Researchers in the group (funded undergrads, masters, doctoral candidates, and post-docs). Ongoing and concluded.

Most of the researchers are based at the Applied Mathematics Laboratory of the Institute (https://labmap.ime.usp.br/)

Most of the theses and dissertations can be found here: https://www.teses.usp.br/

Postdoctoral researchers

  • Fernando Valdes Ravelo. Time integration methods for efficient anisotropic viscoelastic full waveform inversion. Total Energies/ANP (2024–)
  • Felipe A. Guedes da Silva. Spatial Numerical Schemes and Absorbing Boundary Conditions for Anisotropic Visco Elastic Equations Associated with Seismic Inversion Problems. Total Energies/ANP. (2024–)
  • Felipe Augusto Ventura de Bragança Alves. Numerics-turbulence interactions in atmospheric models. FAPESP. (2023–)

Former

  • Guilherme L. Torres Mendonça. Data assimilation for next-generation weather and climate models. FAPESP. (2023–2026) → Hired as a scientific researcher at INPE/CPTEC.
  • William Corrêa Radunz. Multi-scale modeling and characterization of winds for onshore and offshore wind-energy applications. FAPESP (2022–2024) → Post-doc at Johns Hopkins University.
  • João Guilherme Caldas Steinstraesser. Parallel-in-time resolution of the shallow water equations on the rotating sphere using spherical harmonics and semi-Lagrangian discretization. FAPESP. (2021–2024) → Hired as a professor at IME-USP.
  • Felipe A. Guedes da Silva. Reduction of numerical dispersion of finite difference schemes for wave equations. Shell Brasil/ANP (2019–2023)

PhD candidates

  • Fellipe A. D. Prudente. Adaptive time integration. (2024–)
  • João Luiz Santos Gomes. Discrete Exterior Calculus and Applications. (2023–)
  • Juan Camilo B. Camargo. Finite volume methods on cubed sphere grids. (2022–)
  • Paulo Sérgio L. da Silva. Neural network data assimilation in PDEs. (2021–)

Former

  • Luan da Fonseca Santos. Analysis of finite-volume advection schemes on cubed-sphere grids and an accurate alternative for divergent winds. FAPESP (2020–2024). Thesis → Postdoc at Princeton University – USA.
  • Fernando Valdes Ravelo. On explicit exponential integrators in the solution of elastic wave propagation equations. International “Sandwich” stay at Univ. Grenoble Alpes (2023). Shell Brasil/CNPq. (2017–2024). Thesis
  • Luana Tais Bassani. A matrix population forecasting model for Aedes aegypti considering basic sanitation environment, daily weather, and its impact over the dormancy state. CAPES/CNPq (2016–2023). Thesis
  • Fabricio R. Lapolli. Accuracy and stability analysis of finite-volume methods on unstructured spherical grids for shallow water oceanic models. CNPq (2019–2023). Thesis → Postdoc at Max-Planck-Institute for Meteorology.
  • Genilson Schunck de Lima. Finite difference and finite volume methods for shallow water equations on the sphere using reduced grids. CAPES (2017–2022). Thesis
  • Leonardo A. P. Cuevas. Error estimates for discretizations of the Laplacian by finite volume methods on spherical geodesic icosahedral grids. CAPES/CNPq (2015–2021). Thesis → Postdoc at The Chinese University of Hong Kong.
  • Jeferson Brambatti Granjeiro. A robust high-order finite volume method for advection on geodesic spherical grids. CAPES/CNPq (2012–2019). Thesis
  • Arthur A. R. Campos. Multiscale multigrid full-waveform inversion. International “Sandwich” stay at Univ. Grenoble Alpes in 2023-2024. Shell Brasil/CAPES (2019 – unfinished)
  • Guilherme B. A. Oliveira. Integration of mesoscale and microscale climate models for critical operation of wind farms. (2021 – unfinished)

MSc students

Former

  • Yuri Assis Pinto. Study and implementation of Semi-Lagrangian Exponential Integrators. (2024–2026). Thesis
  • Luciano R. Danninger. Analysis and applications of the KIOPS method in exponential integration and differential equations. CAPES (2020–2026). Thesis
  • Marco A. Dourado. Nonlinear wave interactions in rotating shallow water equations on the sphere. FAPESP (2024–2025). Thesis
  • Angelo Jonathan Diaz Soto. Optimal parameter analysis of the Fama and French three factor model using machine learning. CAPES (2024). Thesis
  • Marta Gil Bardají. Smooth Dynamical Downscaling of the Wind with the Model for Prediction Across Scales (MPAS). Facultat de Física, Universitat de Barcelona (2021–2022). Thesis
  • Juan Camilo B. Camargo. Evaluation of the potential of Godunov-type finite volume methods for seismic problems. Shell Brasil (2019–2022). Thesis
  • Luan da Fonseca Santos. Analysis of mimetic finite volume schemes on classical and moist shallow water models considering topography based local refinement in spherical Voronoi grids. FAPESP (2018–2020). Thesis
  • Ana Cecília Rojas Mendoza. Numerical solution of ordinary differential equations using Laplace transform integration. CAPES/CNPq (2016–2020). Thesis
  • Amanda Maciel de Oliveira. Vertical discretizations in weather and climate models. CNPq (2023 – unfinished)

Undergrad students (funded projects)

  • Maria Iolanda da Silva Feitosa. Introdução à dinâmica dos fluidos computacional e aplicações. PICME (2023–2024)
  • Isabela Miki Suzuki. Numerical exponential integrators for dynamical systems. FAPESP (2022–2023)
  • Arthur Clemente Giannotta. Automatic code generation for implicit Finite difference methods for seismic imaging. Shell Brasil (2019–2021)
  • Luan da Fonseca Santos. Topography-based local refinement in spherical Voronoi grids. FAPESP (2017–2018)