Skip to main content
Pedro S. Peixoto
Associate Professor - Applied Mathematics
USP

Papers

Google Scholar ORCID Lattes Research Gate Web of Science

Numerical Methods and Computational Geophysical Fluid Dynamics

  1. Dourado, Raphaldini, Teruya, Peixoto, 2026: The Dynamics of Nonlinear Triads of Rossby-Haurwitz and Gravity Shallow Water Waves on the Sphere (Under review at Journal of Fluid Mechanics, EarthArXiv)
  2. Gorenstein, Wainer, Peixoto, Rocha, 2026: A Generalizable Lie Autoencoder for Emulating Barotropic Turbulence (Under review at Journal of Geophysical Research: Machine Learning and Computation, EarthArXiv)
  3. Peixoto, Silva, 2026: Arbitrary high order shaped stencils for time domain finite difference schemes in seismic wave propagation (Under review at Computational Geosciences, arXiv, Preprint)
  4. Santos, Granjeiro, Peixoto, 2026: A new high-order finite-volume advection scheme on spherical Voronoi grids and a comparative study in a mimetic finite-volume moist shallow-water model (Under review at Monthly Weather Review, arXiv)
  5. Gaddameedi, Hamon, Huber, Lunet, Peixoto, Steinstraesser, Schreiber, Schüller, 2025: SWEET – Shallow Water Equation Environment for Tests v1.0 (Under review at Geoscientific Model Development, Preprint, Codes)
  6. Radünz, Carmo, Lundquist, Letizia, Abraham, Wise, Gomez, Hamilton, Rai, Peixoto, 2025: Influence of simple terrain on the spatial variability of a low-level jet and wind farm performance in the AWAKEN field campaign (Wind Energy Science, 10, 2365–2393). DOI, Preprint
  7. Barrios, Peixoto, Silva, 2025: On Godunov-type finite volume methods for seismic wave propagation (Discover Geosciences). arXiv, DOI
  8. Steinstraesser, Peixoto, Schreiber, 2025: A second-order semi-Lagrangian exponential scheme with application to the shallow-water equations on the rotating sphere (ESAIM: Mathematical Modelling and Numerical Analysis). arXiv, DOI
  9. Santos, Mouallem, Peixoto, 2024: Analysis of Finite-Volume Transport Schemes on Cubed-Sphere Grids and an Accurate Scheme for Divergent Winds (Journal of Computational Physics). SSRN, DOI
  10. Ravelo, Peixoto, Schreiber, 2024: High-order exponential integration for seismic wave modeling (Computational Geosciences). arXiv, DOI
  11. Raphaldini, Raupp, Peixoto, Mayta, Silva-Dias, 2024: Data-driven modeling of equatorial atmospheric waves: the role of moisture and nonlinearity on global-scale instabilities and propagation speeds (Chaos). DOI
  12. Lapolli, Peixoto, Korn, 2024: Accuracy and stability analysis of horizontal discretizations used in unstructured grid ocean models (Ocean Modelling). PDF, arXiv, DOI
  13. Ravelo, Peixoto, Schreiber, 2023: An explicit exponential time integrator based on Faber polynomials and its application to seismic wave modelling (Journal of Scientific Computing). arXiv, DOI
  14. Steinstraesser, Peixoto, Schreiber, 2023: Parallel-in-time integration of the shallow water equations on the rotating sphere using Parareal and MGRIT (Journal of Computational Physics). arXiv, DOI
  15. Poveda, Peixoto, 2023: On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere (Advances in Computational Mathematics). arXiv, DOI
  16. Lima, Peixoto, 2023: A consistent mass-conserving C-staggered method for shallow water equations on global reduced grids (Journal of Computational Physics). EarthArXiv, DOI
  17. Dolci, Silva, Peixoto, Volpi, 2022: Effectiveness and computational efficiency of absorbing boundary conditions for full-waveform inversion (Geoscientific Model Development, 15, 5857–5881). DOI, Preprint
  18. Raphaldini, Peixoto, Raupp, Teruya, Bustamante, 2022: Precession resonance of Rossby wave triads and the generation of low frequency atmospheric oscillations (Physics of Fluids). ResearchGate, DOI
  19. Santos, Peixoto, 2021: Topography based local spherical Voronoi grid refinement on classical and moist shallow-water finite volume models (Geoscientific Model Development). Open Access
  20. Yu, Wang, Middlecoff, Peixoto, Govett, 2020: Comparing Numerical Accuracy of Icosahedral A-grid and C-grid Schemes in Solving the Shallow-Water Model (Monthly Weather Review). PDF, DOI
  21. Peixoto, Schreiber, 2019: Semi-Lagrangian Exponential Integration with application to the rotating shallow water equations (SIAM Journal on Scientific Computing). PDF, DOI
  22. Peixoto, Thuburn, Bell, 2018: Numerical instabilities of spherical shallow water models considering small equivalent depths (Quarterly Journal of the Royal Meteorological Society). PDF, DOI
  23. Schmitt, Schreiber, Peixoto, Schäfer, 2018: A numerical study of a semi-Lagrangian Parareal method applied to the Burgers’ equation (Computing and Visualization in Science). PDF, DOI
  24. Schreiber, Peixoto, Haut, Wingate, 2017: Beyond spatial scalability limitations with a massively parallel method for linear oscillatory problems (The International Journal of High Performance Computing Applications). PDF, DOI
  25. Bell, Peixoto, Thuburn, 2017: Numerical instabilities of vector invariant momentum equations on rectangular C-grids (Quarterly Journal of the Royal Meteorological Society). PDF, DOI
  26. Peixoto, 2016: Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative (Journal of Computational Physics). PDF, DOI
  27. Peixoto, Barros, 2014: On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids (Journal of Computational Physics). PDF, DOI
  28. Peixoto, Barros, 2013: Analysis of grid imprinting on geodesic spherical icosahedral grids (Journal of Computational Physics) – PDF, DOI
  29. Barros, Peixoto, 2011: Computational aspects of harmonic wavelet Galerkin methods and an application to a precipitation front propagation model (Computers & Mathematics with Applications). PDF, DOI

Applied Mathematics: biostatistics, epidemiology, seismic modelling, and others

  1. Palasio et al., 2025: Spatio-temporal Modeling of chikungunya in Brazil: Interplay of Climate, Mobility, and Socioeconomic Factors (Under review)
  2. Cox et al., 2025: Spatiotemporal relationships between extreme weather events and arbovirus transmission across Brazil (Under review, eLife)
  3. Hill et al., 2025: Climate shapes the spread and evolution of zoonotic yellow fever virus (Under review, medRxiv)
  4. Policarpo et al., 2023: Scale-free dynamics of Covid-19 in a Brazilian city (Applied Mathematical Modelling). DOI
  5. Moura, Costa-da-Silva, Peixoto, Miranda, Cardoso, 2023: Vitellogenin genes are transcribed in Culex quinquefasciatus ovary (Memórias do Instituto Oswaldo Cruz). DOI
  6. Yücel, Pereira, Peixoto, Camargo, 2023: Impact of Network Centrality and Income on Slowing Infection Spread after Outbreaks (Applied Network Science). arXiv, DOI
  7. Nonato, Peixoto, Pereira, Sagastizábal, Silva, 2022: Robot Dance: a mathematical optimization platform for intervention against COVID-19 in a complex network (EURO Journal on Computational Optimization). Preprint, DOI – Won The Marguerite Frank Award for the best EJCO paper 2022 (PRIZE)
  8. Sibemberg, Allem, Hoppen, Peixoto, 2022: Risk classification in complex networks: the case of COVID-19 in Rio Grande do Sul (Ciência & Natura). DOI
  9. Ferreira et al., 2021: A snapshot of a pandemic: the interplay between social isolation and COVID-19 dynamics in Brazil (Patterns). medRxiv, DOI
  10. Nicolelis, Raimundo, Peixoto, Andreazzi, 2021: The impact of super-spreader cities, highways, and intensive care availability in the early stages of the COVID-19 epidemic in Brazil (Scientific Reports – Nature Portfolio). DOI
  11. Li et al., 2021: Higher risk of death from COVID-19 in low-income and non-White populations of São Paulo, Brazil (BMJ Global Health). DOI
  12. Faria et al., 2021: Genomics and epidemiology of the P.1 SARS-CoV-2 lineage in Manaus, Brazil (Science). DOI
  13. Sabino et al., 2021: Resurgence of COVID-19 in Manaus, Brazil, despite high seroprevalence (The Lancet). DOI
  14. Buss et al., 2020: Three-quarters attack rate of SARS-CoV-2 in the Brazilian Amazon during a largely unmitigated epidemic (Science). DOI
  15. Dias, Assumpção, Peixoto, Bianchi, Collaço, Calhau, 2020: Using Seismic Noise Levels to Monitor Social Isolation: An Example from Rio de Janeiro, Brazil (Geophysical Research Letters). DOI
  16. Candido et al., 2020: Evolution and epidemic spread of SARS-CoV-2 in Brazil (Science). DOI
  17. Peixoto, Marcondes, Peixoto, Oliva, 2020: Modeling future spread of infections via mobile geolocation data and population dynamics. An application to COVID-19 in Brazil (PLOS ONE). medRxiv, DOI
  18. Moura-da-Silva et al., 2020: The relationship between clinics and the venom of the causative Amazon pit viper (Bothrops atrox) (PLOS Neglected Tropical Diseases). DOI
  19. Leite et al., 2014: The use of mesenchymal stem cells in bladder augmentation (Pediatric Surgery International). DOI
  20. Sousa et al., 2013: Comparison of phylogeny, venom composition and neutralization by antivenom in diverse species of Bothrops complex (PLOS Neglected Tropical Diseases). PDF, DOI
  21. Perciani, Peixoto, Dias, Kubrusly, Tanizaki, 2007: Improved method to calculate the antibody avidity index (Journal of Clinical Laboratory Analysis). DOI

Theses and Dissertations

  • PhD Thesis – Applied Mathematics, USP, 2013: Analysis of discretizations and interpolations on icosahedral grids and applications to semi-Lagrangian transport models (in Portuguese only). PDF
  • Master Thesis – Applied Mathematics, USP, 2009: Numerical resolution of partial differential equations using harmonic wavelets (in Portuguese only). PDF
  • Measure, Analysis, Prediction and Modeling of the Sea Level Post Graduation Specialization Course, USP, 2007 (Dissertation): Jason-1: Lendo os dados de altimetria por satélite para o nível do mar (in Portuguese only). PDF
  • Bachelor Degree in Applied and Computational Mathematics, USP, 2006 (Monograph): O Uso de Modelos Econométricos em Empresas (in Portuguese only). PDF