Papers in International Journals

• Bernal, Francisco; Acebron, Juan; Anjam, Immanuel (2014)  A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries . SIAM Journal on Imaging Sciences: 7(4), 2657-2674.

• Mancini, Sara; Bernal, Francisco; Acebron, Juan (2014)  An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems . , (submitted).

• Bernal, Francisco; Kindelan, Manuel (2010)  Radial Basis Function ( RBF) solution of the Motz problem. . Engineering Computations: 27(5), 606-620.

• Bernal, Francisco; Backofen, R.; Voigt, A. (2010)  Elastic interactions in phase-field crystal models: numerics and postprocessing . International Journal of Materials Research: 101(4), 467-472.

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

• Bernal, Francisco; Gutiérrez, G.; Kindelan, M. (2009)  Use of singularity capturing functions in the solution of problems with discontinuous boundary conditions . Engineering Analysis with Boundary Elements: 33(2), 200-208.

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

Papers or Chapters in Edited Books

• 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.