Numerical Analysis and Computational Geophysical Fluid Dynamics

  • Peixoto, Schreiber, 2018: Semi-Lagrangian Exponential Integration with application to the rotating shallow water equations (submitted to SIAM Journal on Scientific Computing) – Preprint
  • Peixoto, Thuburn and Bell, 2018: Numerical instabilities of spherical shallow water models considering small equivalent depths ( Quarterly Journal of the Royal Meteorological Society) – DOI
  • Schmitt, Schreiber, Peixoto and Schäfer, 2018: A numerical study of a semi-Lagrangian Parareal method applied to the Burgers’ equation (Computing and Visualization in Science) –DOI
  • Schreiber, Peixoto, Haut and Wingate, 2017: Beyond spatial scalability limitations with a massively parallel method for linear oscillatory problems (International Journal of High Performance Computing) – Preprint, DOI
  • Bell, Peixoto, Thuburn, 2017: Numerical instabilities of vector invariant momentum equations on rectangular C-grids (Quart. J. Roy. Meteorol. Soc.) – DOI
  • Peixoto, 2016: Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative (Journal of Computational Physics) – DOI
  • Peixoto, PS and Barros, SRM, 2014 : On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids (Journal of Computational Physics) –  DOI
  • Peixoto, PS and Barros, SRM, 2013 : Analysis of grid imprinting on geodesic spherical icosahedral grids (Journal of Computational Physics) –  INI, DOI
  • Barros, SRM and Peixoto, PS, 2011: Computational aspects of harmonic wavelet Galerkin methods and an application to a precipitation front propagation model (Computers & Mathematics with Applications) – DOI


  • Leite M,Freitas-Filho L., …, …, …, Peixoto PS, 2014:The use of mesenchymal stem cells in bladder augmentation (Pediatric Surgery International (Print)) – DOI
  • Sousa LF, Nicolau CA, Peixoto PS, et al, 2013: Comparison of phylogeny, venom composition and neutralization by antivenom in diverse species of bothrops complex (PLoS Negl Trop Dis.) – PDF, DOI
  • Perciani CT, Peixoto PS, Dias WO, Kubrusly FS, Tanizaki MM, 2007 :  Improved method to calculate the antibody avidity index (JClin Lab Anal) – DOI

Thesis 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

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