Francisco Bernal

Orcid: 0000-0002-6917-2658

According to our database1, Francisco Bernal authored at least 15 papers between 2010 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Iterative Schemes for Probabilistic Domain Decomposition.
SIAM J. Sci. Comput., 2024

A radial basis function partition of unity method for steady flow simulations.
J. Comput. Phys., 2024

2023
A hybrid probabilistic domain decomposition algorithm suited for very large-scale elliptic PDEs.
Comput. Math. Appl., September, 2023

Analysis and preconditioning of a probabilistic domain decomposition algorithm for elliptic boundary value problems.
CoRR, 2023

An explicit substructuring method for overlapping domain decomposition based on stochastic calculus.
CoRR, 2023

An iterative method for Helmholtz boundary value problems arising in wave propagation.
CoRR, 2023

2020
Safer Skies over Spain.
INFORMS J. Appl. Anal., 2020

2019
An Implementation of Milstein's Method for General Bounded Diffusions.
J. Sci. Comput., 2019

2018
A framework for risk management decisions in aviation safety at state level.
Reliab. Eng. Syst. Saf., 2018

Multilevel Estimation of Expected Exit Times and Other Functionals of Stopped Diffusions.
SIAM/ASA J. Uncertain. Quantification, 2018

2016
An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems.
J. Sci. Comput., 2016

A multigrid-like algorithm for probabilistic domain decomposition.
Comput. Math. Appl., 2016

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

2014
A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries.
SIAM J. Imaging Sci., 2014

2010
Application of the RBF meshless method to the solution of the radiative transport equation.
J. Comput. Phys., 2010


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