Students-Postdocs Supervision
CURRENT POSTDOCS & STUDENTS (Graduate and Undergraduate levels): (Applied Mathematics and Scientific Computing)
For a list with completed supervision (Posdocs, Graduate and Undergraduate levels), please see below.
Current Post-Doctoral Supervision
- Join E. Abreu's group via Post-doctoral fellowships. Consider application via FAPESP grant. For more details click here (LINK https://fapesp.br/en/postdoc).
If you have a more solid formation in Mathematical Sciences, Applied Mathematics, Computational Mathematics, Scientific Computing and Engineering Mathematics maybe you would be interested in the opportunities via FAPESP programs, or by "Guidelines for the Young Investigator Grant" (LINK https://fapesp.br/en/yia) or by "Visiting Researcher Award " (LINK https://fapesp.br/en/visiting).
Current PhD Students
4) Victor Lohan dos Santos Araujo, (2024--in progress, CNPq fellowship). Thesis Topic (Applied Mathematics): A Lagrangian-Eulerian No-Flow characterization for scalar hyperbolic problems and systems of conservation laws in several space dimensions.
3) Erivaldo Diniz de Lima, (2022--in progress, Adjunct professor at Federal University of Roraima). Thesis Topic (Applied Mathematics): A relaxation approach for pseudo-parabolic three-phase flows: Riemann problems, numerics and applications.
2) Pedro Henrique Valerio de Godoi, (2022--in progress). Thesis Topic (Applied Mathematics): Fully-discrete and semi-discrete Lagrangian--Eulerian formulations for conservation laws on 3D tetrahedral meshes with applications.
1) Isamara Landim Nunes Araujo, (2020--in progress, CAPES fellowship). Thesis Topic (Applied Mathematics): A New Computational Model for Flow in Coalesced Collapsed-Paleocave Karst Reservoirs. joint supervision with Marcio Murad and Patricia Pereira.
Current Master students
Current undergraduate Students
PAST POSTDOCS & STUDENTS (Graduate and Undergraduate levels): Completed.
Post-Doctoral Supervision
5) Wanderson Lambert (2020-2021). FAPESP Fellow. Research on Partial Differential Algebraic Equations, Hyperbolic conservation law with stiff relaxation, Mathematical Modeling and Numerical Analysis.
4) Paola Ferraz (2019 – 2020). Petrobrás Fellow. Scientific research on the development of multiscale methods with MPI parallel implementation for elliptic problems to numerical simulation of oil Reservoirs.
3) Luis Guilherme (2017 - 2020). Petrobrás Fellow. Computational mathematics and engineering mathematics for multiscale methods and scientific computing for simulation of oil reservoirs.
2) Arthur Santo (2017-2018). Petrobrás Fellow. Research on Mathematical modeling and simulation of oil reservoirs.
1) John Alexander Perez (2015-2016). CAPES-PNPD Fellow. Research on numerical analysis and applied mathematics for hyperbolic problems in fluid dynamics.
Former PhD students
13) Nelson Quispe Cuba, (2020--2024). A Besov spaces approach and numerical insights to study: a conservation law with partially nonlocal velocity and the inviscid surface quasi-geostrophic equation. joint supervision with John Perez and Julio Guevara.
12) Eduardo Pandini Barros, (2020--2024, CAPES fellowship). Thesis Topic (Applied Mathematics): An enhanced Lagrangian-Eulerian method for a general class of nonlinear balance laws: numerical analysis and improved approximations. joint supervision with Wanderson Lambert.
11) Jorge Eliécer Agudelo Quiceno, (2020--2023). Thesis Topic (Mathematics & Applied Mathematics): A Class of Conservative Lagrangian-Eulerian Methods on Triangular Grids for Hyperbolic Problems: Design, Analysis and Applications. joint supervision with John Perez and Albeiro Sanchez.
10) Jean Renel François, (2017 – 2021, CAPES fellowship). Thesis Topic (Mathematics & Applied Mathematics): A multidimensional semi-discrete Lagrangian-Eulerian scheme for scalar and systems of hyperbolic conservation laws with a positivity principle. joint supervision with Wanderson Lambert.
9) Ciro Diaz, (2016 – 2019, CAPES/CNPq fellowship). Thesis Topic (Mathematics & Applied Mathematics): High order finite elements with conservative properties.
8) Paola Ferraz, (2016 – 2019, Petrobrás fellowship). Thesis Topic (Mathematics & Applied Mathematics): A Novel Recursive Formulation of Multiscale Mixed Methods and Relaxation Modeling of Flow in Porous Media. joint supervision with Felipe Pereira.
7) Jardel Vieira, (2015 – 2018, CAPES/CNPq fellowship). Thesis Topic (Mathematics & Applied Mathematics): Numerical modeling of the two-phase flow in porous media with dynamic capillary pressure.
6) Felipe Augusto Guedes da Silva, (2016 – 2019, CAPES fellowship). Thesis Topic (Mathematics & Applied Mathematics): High order discontinuous Galerkin methods for hyperbolic conservation laws. joint supervision with Maicon Correa.
5) Arthur Miranda do Espírito Santo, (2013 – 2017, CAPES/CNPq fellowship). Thesis Topic (Mathematics & Applied Mathematics): Conservative numerical formulations for approximating hyperbolic models with source terms and related transport models.
4) Juan Gabriel Galeano Delgado, (2012 – 2016, CAPES fellowship). Thesis Topic (Mathematics & Applied Mathematics): Well-posedness and blow-up of global solutions for a nonlinear transport equation with nonlocal flux and measure data: theory and numerics. joint supervision with Lucas C. F. Ferreira.
3) John Alexander Perez, (2011 – 2015, CAPES fellowship). Thesis Topic (Mathematics & Applied Mathematics): Lagrangian-Eulerian approximation methods for balance laws and hyperbolic conservation laws.
2) Abel Alvarez Bustos, (2011 – 2015, FAPESP fellowship). Thesis Topic (Mathematics & Applied Mathematics): Systems of balance laws in fluid dynamic problems: mathematical modelling and numerical approximation.
1) Grazione de Souza, (2008 – 2013, National Agency of Petroleum, Natural Gas and Biofuels fellowship). Thesis Topic (Engineering & Applied Mathematics): Well-Reservoir Coupling Study in Numerical Simulation of Horizontal Wells in Low Permeability Gas Reservoirs. joint supervision with Adolfo Puime.
Former Master students
12) Victor Lohan dos Santos Araujo, (2022--2024, CNPq fellowship). Master dissertation (Mathematics & Applied Mathematics): A study of nonlinear nonlocal models: the weak asymptotic numerical analysis and the Lagrangian-Eulerian framework.
11) Larissa Macul, (2020 – 2022, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): Multiscale model for flow in stromatolite carbonate reservoirs using Ground Penetrating Radar (GPR) outcrop data. joint supervision with Marcio Murad and Yoe Perez.
10) Magdalena Huacasi, (2019 – 2021). Master Topic (Mathematics & Applied Mathematics): Mathematical analysis, computing and simulation for a double nonlocal transport equation in one space dimension. joint supervision with Julio Guevara.
9) Isamara Landim, (2020 – 2022, CAPES fellowship). Master Topic (Computational Modeling & Applied Mathematics): Application of Discontinuous Galerkin Schemes in 2D Hyperbolic Problems. joint supervision with Panters Bermudez-Rodriguez.
8) Rafaela de Miranda de Freitas, (2018 – 2020, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): A proposal for conservative discretization of fourth-order advection-diffusion equations in image models.
7) Jean Renel François, (2015 – 2017, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): A study of Lagrangian-Eulerian methods for hyperbolic problems and balance laws.
6) Paola Cunha Ferraz, (2013 – 2015, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): Implementation of a multi-scale algorithm for solving systems of large unbalanced linear equations from discretization of elliptic problems in porous media dynamics.
5) Felipe Augusto Guedes da Silva, (2013 – 2015, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): A study of high order discontinuous Galerkin methods for hyperbolic problems. joint supervision with Maicon Correa.
4) Jardel Vieira, (2013 – 2015, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): A computational study of pseudo-parabolic equations for fluid mechanics and transport phenomena in porous media.
3) Ciro Javier, (2013 – 2014, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): Combined use of hybrid mixed finite element method with domain decomposition and spectral methods for a KPZ model renormalization study.
2) Douglas Silva Maioli, (2010 – 2013). Master Topic (Mathematics & Applied Mathematics): Stability of linear systems in molecular geometry problems. joint supervision with Carlile Lavor.
1) Grazione de Souza, (2006 – 2008, CAPES fellowship). Master Topic (Mathematics & Applied Mathematics): Computational Modeling of Two- and Three-Phase Flows in Heterogeneous Oil Reservoirs. joint supervision with F. Pereira.
Former students – Undergraduate studies
9) Gabriela Romanovski de Toledo Leme, (2023--2024) -- IC-PICME/CNPq (LINK https://picme.obmep.org.br/). Estudo de equações diferenciais ordinárias em problemas de valor inicial na engenharia química / Study of ordinary differential equations in initial value problems in chemical engineering. (Topic in Applied and Computational Mathematics).
8) Antônio Queiroz Manetta (2022) -- IC-PICME/CNPq (LINK https://picme.obmep.org.br/).
An analytical-numerical study with Calculus and Linear Algebra on
properties of the Jacobian flow matrix in Conservation Laws. (Topic in
Applied and Computational Mathematics).
7) Pedro Drummond Savassi Stehling (2022) -- IC-PICME/CNPq (LINK https://picme.obmep.org.br/).
A study of the finite element method in fluid mechanics: scientific
computation and applications. (Topic in Applied and Computational
Mathematics). 6) Carolina Sayuri Tamaki (2021). Undergraduate Research Study (Chemical Engineering & Applied Mathematics): A study of stiff initial value problems in chemical engineering: mathematics and scientific computing.
5) Joel Antonio Godoy de Moraes (2018). Undergraduate Research Study (Mathematics & Applied Mathematics): Computational methods in fluid dynamics in porous media applied in petroleum science.
4) Vítor Rett de Moraes (2014). Undergraduate Research Study (Mathematics & Applied Mathematics): Development of post processing computational routines for analysis of partial differential equation model solutions in fluid dynamics.
3) Huang Taosheng (2012). Undergraduate Research Study (Mathematics & Applied Mathematics): Multiscale methods for numerical resolution of linear systems derived from discretization of partial differential equations.
2) Matheus Ricardo Oliveira Santos (2012). Undergraduate Research Study (Mathematics & Applied Mathematics): Computational linear algebra in fluid flow problems in porous media.
1) Maycon Domingues Lima (2007). Undergraduate Research Study (Mathematics & Applied Mathematics): Advanced hydrocarbon recovery in oil reservoirs with Water-Alternating-Gas (WAG) injection technique.