CEMAT - Member

Members > Former Member

Institutional Address

Instituto Superior Técnico (IST)
Av. Rovisco Pais 1
1049-001 LISBOA

Phone: | Email: francisco.bernal@ist.utl.pt

Position

Post-Doctoral Fellow, Instituto Superior Técnico, Universidade de Lisboa

Area

Applied and Numerical Analysis

Principal Area

stochastic numerics

Other Area

meshless methods

Qualifications

Master’s in Stock Markets and Financial Derivatives (UNED, 2009)

Ph.D. in Mathematical Engineering Universidad Carlos III (Madrid), 2008

Master’s in Finite Elements UNED University (Madrid), 2003

Licenciado in Physics (Spanish B.S. + M.S.) Universidad de Sevilla, 1998

Kindelan, M.; Bernal, Francisco; González-Rodríguez, P.; Moscoso, M. (2010) Application of the RBF meshless method to the solution of the radiative transport equation . Journal of Computational Physics: 229(5), 1897–1908.

Bernal, Francisco; Gutierrez, Gail (2009) Solving delay differential equations through RBF collocation. . Advances in Applied Mathematics and Mechanics: 1(2), 257-272.

Bernal, Francisco; Kindelan, M. (2009) On the enriched RBF method for singular potential problems . Engineering Analysis with Boundary Elements: 33(8-9), 1062-1073.

Bernal, Francisco; Kindelan, Manuel (2007) RBF meshless modeling of Non-Newtonian Hele-Shaw flow. . Engineering Analysis with Boundary Elements: 31 (10), 863-874.

Bernal, Francisco (2012) Solving Non-smooth Delay Differential Equations with Multiquadrics . Progress in Industrial Mathematics at ECMI 2010, Mathematics in Industry, Springer Berlin Heidelberg, 603-609.

Bernal, Francisco; Kindelan, Manuel (2010) Meshless solution of singular potential flows in strong formulation, . Progress in Industrial Mathematics at ECMI 2008, Mathematics in Industry, Springer Berlin Heidelberg, 727-732.

Bernal, Francisco; Kindelan, Manuel (2009) A meshless solution to the p-Laplace equation . Progress on Meshless Methods, Computational Methods in Applied Sciences, Springer Netherlands: 11, 17-35.

Bernal, Francisco; Kindelan, Manuel (2008) Meshless Simulation of Hele-Shaw Flow . Progress in Industrial Mathematics at ECMI 2006 , Mathematics in Industry, Springer Berlin Heidelberg: 12, 677-682.

Bernal, Francisco; Kindelan, Manuel (2007) An RBF meshless method for injection molding modelling . Lecture Notes in Computational Science and Engineering: 57, 41-56.

Euro PM2003 European Powder Metallurgy Conference. Valencia (Spain) (Contributed Talk)

3rd International Workshop on Meshfree Methods for Partial Differential Equations. Bonn (Germany) (Contributed Talk)

Recent Advances in Partial Differential Equations and Applications. Toledo (Spain) (Poster)

ECMI 2006 14th European Conference on Mathematics for Industry Leganes (Spain) (Contributed Talk)

ECCOMAS Thematic Conference on Meshless Methods. Porto (Portugal) (Contributed Talk)

ECMI 2008 15th European Conference on Mathematics for Industry. London (United Kingdom) (Contributed Talk)