F. Magalhaes, J.Monteiro,J.A. Acebrón, and J.R. Herrero. A Distributed Monte Carlo Based Linear Algebra Solver Applied to the Analysis of Large Complex Networks Future Generation Computer Systems (2022) 320-330.

J.A. Acebrón, J.R. Herrero, and J.Monteiro. A highly parallel algorithm for computing the action of a matrix exponential on a vector based on a multilevel Monte Carlo method. Computers and Mathematics with Applications 79 (2020) 3945-3515.

J.A. Acebrón. A probabilistic linear solver based on a multilevel Monte Carlo method. J. Sci. Comput. 82 (2020) 65.

J.A. Acebrón. A Monte Carlo method for computing the action of a matrix exponential on a vector. Appl. Math. Comput. 362 (2019) 124545.

F. Bernal, and J.A. Acebrón. A Comparison of Higher-Order Weak Numerical Schemes for Stopped Stochastic Differential Equations. Communications in Comput. Phys. 20 (2016) 703-732.

F. Bernal, and J.A. Acebrón. A multigrid-like algorithm for probabilistic domain decomposition. Computers and Mathematics with Applications 72 (2016) 1790-1810.

J.A. Acebrón, and M. Ribeiro. A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions. J. Comput. Phys. 305 (2016) 29-43.

S. Mancini, F.Bernal, and J.A. Acebrón. An Efficient Algorithm for Accelerating Monte Carlo Approximations of the Solution to Boundary Value Problems . J. Sci. comput. 66 (2016) 577-597.

F. Bernal, J.A. Acebrón, and I. Anjam. A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries . SIAM. J. Imaging Sci. 7 (2014) 2657-2674.

J.A. Acebrón, and A. Rodríguez-Rozas. Highly efficient numerical algorithm based on random trees for accelerating parallel Vlasov–Poisson simulations . J. Comput. Phys. 250 (2013) 224-245.

J.A. Acebrón, and A. Rodríguez-Rozas. A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees. J. Comput. Phys. 230 (2011) 7891-7909.

R. Durán, R. Rico, L.E. Garcia-Castillo, I. Gomez Revuelto, and J.A. Acebrón. Parallelizing a hybrid Finite Element-Boundary Integral Method for the analysis of scattering and radiation of electromagnetic waves. Finite Elements in Analysis and Design. 46 (2010) 645-657.

J.A. Acebrón, A. Rodríguez-Rozas, and R. Spigler. A fully scalable algorithm suited for petascale computing and beyond. Comput. Sci. Res. Develop. 25 (2010) 115-121.

J.A. Acebrón, A. Rodríguez-Rozas, and R. Spigler. Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition. J. Sci. Comput. 43 (2010) 135-157.

J.A. Acebrón, A. Rodríguez-Rozas, R. Spigler. On the performance of a new parallel numerical algorithm for large-scale simulations of nonlinear partial differential equations. Lect. Notes in Comput. Sci. 6067 (2010) 41-50.

J.A. Acebrón, A. Rodríguez-Rozas, and R. Spigler. Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees. J. Comput. Phys. 228 (2009) 5574-5591.

J.A. Acebrón, S. Lozano, and A. Arenas, Enhancement of signal response in complex networks induced by topology and noise, Applications of Nonlinear Dynamics Model and Design of Complex Systems. Series: Understanding Complex Systems (Springer) (2009).

J.A. Acebrón, and R. Spigler, Scalability and performance analysis of a probabilistic domain decomposition method , Lecture Notes in Computer Science 4967 (2008) 1257-1264.

J.A. Acebrón, R. Durán, R. Rico, and R. Spigler, A New Domain Decomposition Approach Suited for Grid Computing, Lecture Notes in Computer Science 4699 (2007), 744-753.

J.A. Acebrón, and R. Spigler, A fully scalable parallel al gorithm for solving elliptic partial differential equations, Lecture Notes in Computer Science 4641 (2007) 727-736.

J.A. Acebrón, and R. Spigler, Supercomputing applications to the numerical modelling of industrial and applied mathematics problems , J. Supercomputing, 40 (2007) 67-80.

J.A. Acebrón, S. Lozano, and A. Arenas, Amplified signal response in scale-free networks by collaborative signaling, Phys. Rev. Lett. 99 (2007) 128701

J.A. Acebrón, and R. Spigler, A new probabilistic approach for the domain decomposition method, Lecture Notes in Comput. Sci. and Eng., 55 (2007) 475-482.

J.A. Acebrón, R. Spigler, Second harmonics effects in random Duffing oscillators, SIAM J. Appl. Math., 66 (2005) 266-285

J.A. Acebrón, M.P. Busico, P. Lanucara, R. Spigler, Probabilistically induced domain decomposition methods for elliptic boundary-value problems, J. Comput. Phys., 210 (2005) 421-438

J.A. Acebrón, R. Spigler, Fast simulations of stochastic dynamical systems, J. Comput. Phys., 208 (2005) 116-115

J.A. Acebrón, M.P. Busico, P. Lanucara, R. Spigler, Domain decomposition solution of elliptic problems via probabilistic methods,SIAM J. Sci. Comput., 27 (2005) 440-457

J.A. Acebrón, L.L. Bonilla, C.J. Perez Vicente, F. Ritort, R. Spigler, A simple paradigm for synchronization phenomena: The Kuramoto model, Rev. Mod. Phys, 77 (2005) 137-185

V. In, A.Bulsara, A. Kho, P. Longhini, A. Palacios, J.A. Acebrón, S. Baglio, B. Ando, Self-induced oscillations in electronically-coupled fluxgate magnetometers, AIP Proceedings 8th Experimental Chaos Conference (2004)

A. Bulsara, V. In, A. Kho, P. Longhini, A. Palacios,J.A. Acebrón, W.J. Rappel, S. Baglio, B. Ando, Emergent oscillations in uni-directionally coupled overdamped bistable systems, Phys. Rev. E, 70 (2004) 036103-036115

J.A. Acebrón, A. Bulsara, W.J. Rappel, The noisy FitzHugh-Nagumo model: from single elements to globally coupled networks, Phys. Rev. E, 69 (2004) 026202-026211

J.A. Acebrón, A. Bulsara, W.J. Rappel, Probing a noisy nonlinear system to induce resonance for determining the underlying oscillation frequency, Fluct. And Noise Lett., 3 (2003) 341-348 (2003)

J.A. Acebrón, A. Bulsara, W.J. Rappel, A. Hibbs, L. Kunstmanas, M. Krupka, Injection locking near a stochastic bifurcation: the dc SQUID as a case study, Physica A, 325 (2003) 220-229

J.A. Acebrón, A. Bulsara, W.J. Rappel, Noise-mediated cooperative behavior in a system of coupled dc-SQUIDs, Proceedings Of Circuits and Systems, IEEE, 4 (2002) 293-296 (2002)

J.A. Acebrón, A. Bulsara, W.J. Rappel, Cooperative dynamics in a class of coupled two-dimensional oscillators, Phys. Rev. E , 67 (2003) 016210-016227

J.A. Acebrón, A. Bulsara, M. Inchiosa, W.J. Rappel, Noise mediated dynamics in a two-dimensional oscillator: Exact solutions and numerical results, Europhys. Lett. (2001) 354-360

J.A. Acebrón, A. Perales, R. Spigler, Bifurcations and global stability of synchronized stationary, Phys. Rev. E,  64 (2001) 016218-016223

J.A. Acebrón, M.M. Lavrentiev, R. Spigler, Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic equation , IMA Journal of Numerical Analysis , 21 (2001) 239-263

J.A. Acebrón, L.L. Bonilla, R. Spigler, Synchronization in populations of globally coupled oscillators with inertial effects, Phys. Rev. E, 62 (2000) 3437-3454

J.A. Acebrón, R. Spigler, Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear oscillators, Physica D , 141 (2000) 65-79

J.A. Acebrón, R. Spigler, Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators, Phys. Rev. Lett., 81 (1998) 2229-2232

J.A. Acebrón, L. L. Bonilla, S. De Leo, R. Spigler, Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators, Phys. Rev. E , 57 (1998) 5287-5290