102 citations · 227 across the 5 of their papers we have counts for
7 papers
A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees
Juan A. Acebron, Angel Rodriguez-Rozas
A probabilistic representation for initial value semilinear parabolic problems based on generalized random trees has been derived. Two different strategies have been proposed, both…
A Monte Carlo method for computing the action of a matrix exponential on a vector
Juan A. Acebron
A Monte Carlo method for computing the action of a matrix exponential for a certain class of matrices on a vector is proposed. The method is based on generating random paths, which…
A highly parallel algorithm for computing the action of a matrix exponential on a vector based on a multilevel Monte Carlo method
Juan A. Acebron, Jose R. Herrero, Jose Monteiro
A novel algorithm for computing the action of a matrix exponential over a vector is proposed. The algorithm is based on a multilevel Monte Carlo method, and the vector solution is…
A Multigrid-like Algorithm for Probabilistic Domain Decomposition
Francisco Bernal, Juan A. Acebrón
We present an iterative scheme, reminiscent of the Multigrid method, to solve large boundary value problems with Probabilistic Domain Decomposition (PDD). In it, increasingly accur…
Amplified signal response in scale-free networks by collaborative signaling
Juan A. Acebron, Sergi Lozano, Alex Arenas
Many natural and artificial two-states signaling devices are connected forming networks. The information-processing potential of these systems is usually related to the response to…
Synchronization in populations of globally coupled oscillators with inertial effects
J. A. Acebron, L. L. Bonilla, R. Spigler
A model for synchronization of globally coupled phase oscillators including ``inertial'' effects is analyzed. In such a model, both oscillator frequencies and phases evolve in time…