Francisco Bernal

19 papers Journal 19
YearRankTypeTitle / Venue / Authors
2025 J jnl
An iterative method for Helmholtz boundary value problems arising in wave propagation.
J. Comput. Appl. Math.
Francisco Bernal, Xingyuan Chen, Gonçalo Dos Reis
2025 J jnl
Analysis and Preconditioning of a Probabilistic Domain Decomposition Algorithm for Elliptic Boundary Value Problems.
J. Sci. Comput.
Francisco Bernal, Jorge Morón-Vidal
2024 J jnl
A radial basis function partition of unity method for steady flow simulations.
J. Comput. Phys.
Francisco Bernal, Ali Safdari-Vaighani, Elisabeth Larsson
2024 J jnl
Iterative Schemes for Probabilistic Domain Decomposition.
SIAM J. Sci. Comput.
Jorge Morón-Vidal, Francisco Bernal, Renato Spigler
2023 J jnl
A Radial Basis Function Partition of Unity Method for Steady Flow Simulations.
CoRR
Francisco Bernal, Ali Safdari-Vaighani, Elisabeth Larsson
2023 J jnl
A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs.
Comput. Math. Appl.
Francisco Bernal, Jorge Morón-Vidal, Juan A. Acebrón
2023 J jnl
A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs.
CoRR
Francisco Bernal, Jorge Morón-Vidal, Juan A. Acebrón
2023 J jnl
An explicit substructuring method for overlapping domain decomposition based on stochastic calculus.
CoRR
Jorge Morón-Vidal, Francisco Bernal, Atsushi Suzuki
2023 J jnl
An iterative method for Helmholtz boundary value problems arising in wave propagation.
CoRR
Francisco Bernal, Xingyuan Chen, Gonçalo Dos Reis
2023 J jnl
Analysis and preconditioning of a probabilistic domain decomposition algorithm for elliptic boundary value problems.
CoRR
Francisco Bernal, Jorge Morón-Vidal
2020 J jnl
Safer Skies over Spain.
INFORMS J. Appl. Anal.
Verónica Elvira, Francisco Bernal, Pablo Hernández-Coronado, Esperanza Herraiz, César Alfaro, Javier Gomez, David Ríos Insua
2019 J jnl
An Implementation of Milstein's Method for General Bounded Diffusions.
J. Sci. Comput.
Francisco Bernal
2018 J jnl
A framework for risk management decisions in aviation safety at state level.
Reliab. Eng. Syst. Saf.
David Ríos Insua, César Alfaro, Javier Gomez, Pablo Hernández-Coronado, Francisco Bernal
2018 J jnl
Multilevel Estimation of Expected Exit Times and Other Functionals of Stopped Diffusions.
SIAM/ASA J. Uncertain. Quantification
Michael B. Giles, Francisco Bernal
2016 J jnl
A multigrid-like algorithm for probabilistic domain decomposition.
Comput. Math. Appl.
Francisco Bernal, Juan A. Acebrón
2016 J jnl
An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems.
J. Sci. Comput.
Sara Mancini, Francisco Bernal, Juan A. Acebrón
2016 J jnl
Trust-region methods for nonlinear elliptic equations with radial basis functions.
Comput. Math. Appl.
Francisco Bernal
2014 J jnl
A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries.
SIAM J. Imaging Sci.
Francisco Bernal, Juan A. Acebrón, Immanuel Anjam
2010 J jnl
Application of the RBF meshless method to the solution of the radiative transport equation.
J. Comput. Phys.
Manuel Kindelan, Francisco Bernal, Pedro González-Rodríguez, Miguel Moscoso