Application of the RBF meshless method to the solution of the radiative transport equation. - Manuel Kindelan; Francisco Bernal; Pedro González-Rodríguez; Miguel Moscoso (J. Comput. Phys., 2010)

A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries. - Francisco Bernal; Juan A. Acebrón; Immanuel Anjam (SIAM J. Imaging Sci., 2014)

Trust-region methods for nonlinear elliptic equations with radial basis functions. - Francisco Bernal (Comput. Math. Appl., 2016)

A multigrid-like algorithm for probabilistic domain decomposition. - Francisco Bernal; Juan A. Acebrón (Comput. Math. Appl., 2016)

An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems. - Sara Mancini; Francisco Bernal; Juan A. Acebrón (J. Sci. Comput., 2016)

Multilevel Estimation of Expected Exit Times and Other Functionals of Stopped Diffusions. - Michael B. Giles; Francisco Bernal (SIAM/ASA J. Uncertain. Quantification, 2018)

A framework for risk management decisions in aviation safety at state level. - David Ríos Insua; César Alfaro; Javier Gomez 003; Pablo Hernández-Coronado; Francisco Bernal (Reliab. Eng. Syst. Saf., 2018)

An Implementation of Milstein's Method for General Bounded Diffusions. - Francisco Bernal (J. Sci. Comput., 2019)

Safer Skies over Spain. - Verónica Elvira; Francisco Bernal; Pablo Hernández-Coronado; Esperanza Herraiz; César Alfaro; Javier Gomez 003; David Ríos Insua (INFORMS J. Appl. Anal., 2020)

An explicit substructuring method for overlapping domain decomposition based on stochastic calculus. - Jorge Morón-Vidal; Francisco Bernal; Atsushi Suzuki (CoRR, 2023)

Analysis and preconditioning of a probabilistic domain decomposition algorithm for elliptic boundary value problems. - Francisco Bernal; Jorge Morón-Vidal (CoRR, 2023)

A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs. - Francisco Bernal; Jorge Morón-Vidal; Juan A. Acebrón (Comput. Math. Appl., 2023)

A radial basis function partition of unity method for steady flow simulations. - Francisco Bernal; Ali Safdari-Vaighani; Elisabeth Larsson (J. Comput. Phys., 2024)

Iterative Schemes for Probabilistic Domain Decomposition. - Jorge Morón-Vidal; Francisco Bernal; Renato Spigler (SIAM J. Sci. Comput., 2024)

An iterative method for Helmholtz boundary value problems arising in wave propagation. - Francisco Bernal; Xingyuan Chen; Gonçalo Dos Reis (J. Comput. Appl. Math., 2025)