Francisco Bernal

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 15

Top Topics

Risk Management

Boundary Value Problem

Decomposition Algorithm

Top Venues

Comput. Math. Appl.

J. Sci. Comput.

INFORMS J. Appl. Anal.

Publications

Francisco Bernal, Ali Safdari-Vaighani, Elisabeth Larsson
A radial basis function partition of unity method for steady flow simulations. J. Comput. Phys. 503 (2024)
Jorge Morón-Vidal, Francisco Bernal, Renato Spigler
Iterative Schemes for Probabilistic Domain Decomposition. SIAM J. Sci. Comput. 46 (2) (2024)
Francisco Bernal, Jorge Morón-Vidal
Analysis and preconditioning of a probabilistic domain decomposition algorithm for elliptic boundary value problems. CoRR (2023)
Francisco Bernal, Jorge Morón-Vidal, Juan A. Acebrón
A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs. Comput. Math. Appl. 146 (2023)
Jorge Morón-Vidal, Francisco Bernal, Atsushi Suzuki
An explicit substructuring method for overlapping domain decomposition based on stochastic calculus. CoRR (2023)
Francisco Bernal, Jorge Morón-Vidal, Juan A. Acebrón
A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs. CoRR (2023)
Francisco Bernal, Xingyuan Chen, Gonçalo Dos Reis
An iterative method for Helmholtz boundary value problems arising in wave propagation. CoRR (2023)
Francisco Bernal, Ali Safdari-Vaighani, Elisabeth Larsson
A Radial Basis Function Partition of Unity Method for Steady Flow Simulations. CoRR (2023)
Verónica Elvira, Francisco Bernal, Pablo Hernández-Coronado, Esperanza Herraiz, César Alfaro, Javier Gómez, David Ríos Insua
Safer Skies over Spain. INFORMS J. Appl. Anal. 50 (1) (2020)
Francisco Bernal
An Implementation of Milstein's Method for General Bounded Diffusions. J. Sci. Comput. 79 (2) (2019)
David Ríos Insua, César Alfaro, Javier Gómez, Pablo Hernández-Coronado, Francisco Bernal
A framework for risk management decisions in aviation safety at state level. Reliab. Eng. Syst. Saf. 179 (2018)
Michael B. Giles, Francisco Bernal
Multilevel Estimation of Expected Exit Times and Other Functionals of Stopped Diffusions. SIAM/ASA J. Uncertain. Quantification 6 (4) (2018)
Francisco Bernal
Trust-region methods for nonlinear elliptic equations with radial basis functions. Comput. Math. Appl. 72 (7) (2016)
Francisco Bernal, Juan A. Acebrón
A multigrid-like algorithm for probabilistic domain decomposition. Comput. Math. Appl. 72 (7) (2016)
Sara Mancini, Francisco Bernal, Juan A. Acebrón
An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems. J. Sci. Comput. 66 (2) (2016)
Francisco Bernal, Juan A. Acebrón, Immanuel Anjam
A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries. SIAM J. Imaging Sci. 7 (4) (2014)
Manuel Kindelan, Francisco Bernal, Pedro González-Rodríguez, Miguel Moscoso
Application of the RBF meshless method to the solution of the radiative transport equation. J. Comput. Phys. 229 (5) (2010)