Journal article |
- Nicolas L. Guidotti; Juan A. Acebrón; José Monteiro. "A stochastic method for solving time-fractional differential equations".
Computers & Mathematics with Applications (2024): https://doi.org/10.1016/j.camwa.2024.02.020.
10.1016/j.camwa.2024.02.020
- Magalhães, Filipe; Monteiro, José; Acebrón, Juan A.; Herrero, José R.. "A distributed Monte Carlo based linear algebra solver
applied to the analysis of large complex networks". Future Generation Computer Systems 127 (2022): 320-330. http://dx.doi.org/10.1016/j.future.2021.09.014.
10.1016/j.future.2021.09.014
- Juan A. Acebrón; José R. Herrero; José Monteiro. "A highly parallel algorithm for computing the action of a matrix exponential
on a vector based on a multilevel Monte Carlo method". Computers & Mathematics with Applications (2020): https://doi.org/10.1016/j.camwa.2020.02.013.
10.1016/j.camwa.2020.02.013
- Juan A. Acebrón. "A Probabilistic Linear Solver Based on a Multilevel Monte Carlo Method". Journal of Scientific Computing
82 3 (2020): https://doi.org/10.1007/s10915-020-01168-2.
10.1007/s10915-020-01168-2
- Juan A. Acebrón. "A Monte Carlo method for computing the action of a matrix exponential on a vector". Applied Mathematics
and Computation 362 (2019): 124545-124545. https://doi.org/10.1016/j.amc.2019.06.059.
10.1016/j.amc.2019.06.059
- Juan A. Acebrón; Marco A. Ribeiro. "A Monte Carlo method for solving the one-dimensional telegraph equations with boundary
conditions". Journal of Computational Physics 305 (2016): 29-43. https://doi.org/10.1016/j.jcp.2015.10.027.
10.1016/j.jcp.2015.10.027
- Acebron, Juan. "A multigrid-like algorithm for probabilistic domain decomposition". Computers & Mathematics with Applications
72 7 (2016): 1790-1810. http://www.sciencedirect.com/science/article/pii/S0898122116304357.
https://doi.org/10.1016/j.camwa.2016.07.030
- Acebron, Juan. "A Comparison of Higher-Order Weak Numerical Schemes for Stopped Stochastic Differential Equations". Communications
in Computational Physics 20 3 (2016): 703–732-703–732.
10.4208/cicp.OA-2015-0016
- Acebron, Juan. "A Stochastic Algorithm Based on Fast Marching for Automatic Capacitance Extraction in Non-Manhattan Geometries".
SIAM Journal on Imaging Sciences (2014): http://epubs.siam.org/doi/abs/10.1137/140961328.
10.1137/140961328
- Acebrón, J.A.; Rodríguez-Rozas, T.. "Highly efficient numerical algorithm based on random trees for accelerating parallel
Vlasov-Poisson simulations". Journal of Computational Physics 250 (2013): 224-245. http://www.scopus.com/inward/record.url?eid=2-s2.0-84879167474&partnerID=MN8TOARS.
10.1016/j.jcp.2013.05.025
- Acebrón, J.A.; Rodríguez-Rozas, Á.. "A new parallel solver suited for arbitrary semilinear parabolic partial differential
equations based on generalized random trees". Journal of Computational Physics 230 21 (2011): 7891-7909. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860416963&partnerID=MN8TOARS.
10.1016/j.jcp.2011.06.033
- Acebrón, J.A.; Rodríguez-Rozas, Á.; Spigler, R.. "A fully scalable algorithm suited for petascale computing and beyond". Computer
Science - Research and Development 25 1-2 (2010): 115-121. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952953485&partnerID=MN8TOARS.
10.1007/s00450-010-0105-5
- Acebrón, J.A.; Rodríguez-Rozas, Á.; Spigler, R.. "On the performance of a new parallel algorithm for large-scale simulations
of nonlinear partial differential equations". Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial
Intelligence and Lecture Notes in Bioinformatics) 6067 LNCS PART 1 (2010): 41-50. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955112930&partnerID=MN8TOARS.
10.1007/978-3-642-14390-8_5
- Durán Díaz, R.; Rico, R.; García-Castillo, L.E.; Gómez-Revuelto, I.; Acebrón, J.A.; Martínez-Fernández, I.. "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 8 (2010): 645-657. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955267772&partnerID=MN8TOARS.
10.1016/j.finel.2010.03.004
- Acebrón, J.A.; Rodríguez-Rozas, Á.; Spigler, R.. "Efficient parallel solution of nonlinear parabolic partial differential
equations by a probabilistic domain decomposition". Journal of Scientific Computing 43 2 (2010): 135-157. http://www.scopus.com/inward/record.url?eid=2-s2.0-77951096128&partnerID=MN8TOARS.
10.1007/s10915-010-9349-2
- Acebrón, J.A.; Rodríguez-Rozas, A.; Spigler, R.. "Domain decomposition solution of nonlinear two-dimensional parabolic problems
by random trees". Journal of Computational Physics 228 15 (2009): 5574-5591. http://www.scopus.com/inward/record.url?eid=2-s2.0-67349224351&partnerID=MN8TOARS.
10.1016/j.jcp.2009.04.034
- Acebrón, J.A.; Lozano, S.; Arenas, A.. "Enhancement of signal response in complex networks induced by topology and noise".
Understanding Complex Systems 2009 (2009): 201-209. http://www.scopus.com/inward/record.url?eid=2-s2.0-62849089051&partnerID=MN8TOARS.
10.1007/978-3-540-85632-0_16
- Acebrón, J.A.; Spigler, R.. "Scalability and performance analysis of a probabilistic domain decomposition method". Lecture
Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
4967 LNCS (2008): 1257-1264. http://www.scopus.com/inward/record.url?eid=2-s2.0-45449108802&partnerID=MN8TOARS.
10.1007/978-3-540-68111-3_133
- Acebrn, J.A.; Lozano, S.; Arenas, A.. "Amplified signal response in scale-free networks by collaborative signaling". Physical
Review Letters 99 12 (2007): http://www.scopus.com/inward/record.url?eid=2-s2.0-34648820341&partnerID=MN8TOARS.
10.1103/PhysRevLett.99.128701
- Acebrón, J.A.; Durán, R.; Rico, R.; Spigler, R.. "A new domain decomposition approach suited for grid computing". Lecture
Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
4699 LNCS (2007): 744-753. http://www.scopus.com/inward/record.url?eid=2-s2.0-38049032039&partnerID=MN8TOARS.
- Acebrón, J.A.; Spigler, R.. "A New Probabilistic Approach to the Domain Decomposition Method". Lecture Notes in Computational
Science and Engineering 55 (2007): 473-480. http://www.scopus.com/inward/record.url?eid=2-s2.0-38049136161&partnerID=MN8TOARS.
- Acebrón, J.A.; Spigler, R.. "A fully scalable parallel algorithm for solving elliptic partial differential equations". Lecture
Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
4641 LNCS (2007): 727-736. http://www.scopus.com/inward/record.url?eid=2-s2.0-38049187637&partnerID=MN8TOARS.
- Acebrón, J.A.; Spigler, R.. "Supercomputing applications to the numerical modeling of industrial and applied mathematics problems".
Journal of Supercomputing 40 1 (2007): 67-80. http://www.scopus.com/inward/record.url?eid=2-s2.0-33947356742&partnerID=MN8TOARS.
10.1007/s11227-006-0014-3
- Acebrón, J.A.; Busico, M.P.; Lanucara, P.; Spigler, R.. "Domain decomposition solution of elliptic boundary-value problems
via Monte Carlo and quasi-Monte Carlo methods". SIAM Journal on Scientific Computing 27 2 (2006): 440-457. http://www.scopus.com/inward/record.url?eid=2-s2.0-33644936721&partnerID=MN8TOARS.
10.1137/030600692
- Acebrón, J.A.; Spigler, R.. "Second harmonics effects in random duffing oscillators". SIAM Journal on Applied Mathematics
66 1 (2006): 266-285. http://www.scopus.com/inward/record.url?eid=2-s2.0-33644606634&partnerID=MN8TOARS.
10.1137/S0036139903437084
- Acebrón, J.A.; Busico, M.P.; Lanucara, P.; Spigler, R.. "Probabilistically induced domain decomposition methods for elliptic
boundary-value problems". Journal of Computational Physics 210 2 (2005): 421-438. http://www.scopus.com/inward/record.url?eid=2-s2.0-23844498890&partnerID=MN8TOARS.
10.1016/j.jcp.2005.04.014
- Acebrón, J.A.; Spigler, R.. "Fast simulations of stochastic dynamical systems". Journal of Computational Physics 208
1 (2005): 106-115. http://www.scopus.com/inward/record.url?eid=2-s2.0-19044365490&partnerID=MN8TOARS.
10.1016/j.jcp.2005.02.010
- Mazzetto, E.; Someda, C.G.; Acebrón, J.A.; Spigler, R.. "The fractional Fourier transform in the analysis and synthesis of
fiber Bragg gratings". Optical and Quantum Electronics 37 8 (2005): 755-787. http://www.scopus.com/inward/record.url?eid=2-s2.0-24144470806&partnerID=MN8TOARS.
10.1007/s11082-005-8609-0
- Acebrón, J.A.; Bonilla, L.L.; Vicente, C.J.P.; Ritort, F.; Spigler, R.. "The Kuramoto model: A simple paradigm for synchronization
phenomena". Reviews of Modern Physics 77 1 (2005): 137-185. http://www.scopus.com/inward/record.url?eid=2-s2.0-19944385353&partnerID=MN8TOARS.
10.1103/RevModPhys.77.137
- Bulsara, A.R.; In, V.; Kho, A.; Longhini, P.; Palacios, A.; Rappel, W.-J.; Acebron, J.; Baglio, S.; Ando, B.. "Emergent oscillations
in unidirectionally coupled overdamped bistable systems". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
70 3 2 (2004): http://www.scopus.com/inward/record.url?eid=2-s2.0-42749104707&partnerID=MN8TOARS.
10.1103/PhysRevE.70.036103
- Acebrón, J.A.; Bulsara, A.R.; Rappel, W.-J.. "Noisy FitzHugh-Nagumo model: From single elements to globally coupled networks".
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 69 2 2 (2004): http://www.scopus.com/inward/record.url?eid=2-s2.0-42749100321&partnerID=MN8TOARS.
10.1103/PhysRevE.69.026202
- Bulsara, A.R.; Acebrón, J.A.; Rappel, W.-J.; Hibbs, A.; Kunstmanas, L.; Krupka, M.. "Injection locking near a stochastic bifurcation:
The dc SQUID as a case study". Physica A: Statistical Mechanics and its Applications 325 1-2 (2003): 220-229. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038685894&partnerID=MN8TOARS.
10.1016/S0378-4371(03)00201-2
- Acebrón, J.A.; Rappel, W.-J.; Bulsara, A.R.. "Cooperative dynamics in a class of coupled two-dimensional oscillators". Physical
Review E - Statistical, Nonlinear, and Soft Matter Physics 67 1 2 (2003): 162101-1621017. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038056038&partnerID=MN8TOARS.
- Acebrón, J.A.; Bulsara, A.R.; Rappel, W.-J.. "Noise-mediated cooperative behavior in a system of coupled DC squids". Proceedings
- IEEE International Symposium on Circuits and Systems 4 (2002): http://www.scopus.com/inward/record.url?eid=2-s2.0-0036290953&partnerID=MN8TOARS.
- Acebrón, J.A.; Perales, A.; Spigler, R.. "Bifurcations and global stability of synchronized stationary states in the Kuramoto
model for oscillator populations". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 64 1 II (2001):
http://www.scopus.com/inward/record.url?eid=2-s2.0-0035395735&partnerID=MN8TOARS.
- Acebrón, J.A.; Lavrentiev Jr., M.M.; Spigler, R.. "Spectral analysis and computation for the Kuramoto-Sakaguchi integroparabolic
equation". IMA Journal of Numerical Analysis 21 1 (2001): 239-263. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035580271&partnerID=MN8TOARS.
10.1093/imanum/21.1.239
- Acebrón, J.A.; Bulsara, A.R.; Inchiosa, M.E.; Rappel, W.-J.. "Noise-mediated dynamics in a two-dimensional oscillator: Exact
solutions and numerical results". Europhysics Letters 56 3 (2001): 354-360. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035510756&partnerID=MN8TOARS.
10.1209/epl/i2001-00527-x
- Acebrón, J.A.; Bonilla, L.L.; Spigler, R.. "Synchronization in populations of globally coupled oscillators with inertial effects".
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 62 3 A (2000): 3437-3454.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0034272217&partnerID=MN8TOARS.
10.1103/PhysRevE.62.3437
- Acebrón, J.A.; Spigler, R.. "Uncertainty in phase-frequency synchronization of large populations of globally coupled nonlinear
oscillators". Physica D: Nonlinear Phenomena 141 1-2 (2000): 65-79. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346479826&partnerID=MN8TOARS.
- Acebrón, J.A.; Bonilla, L.L.; De Leo, S.; Spigler, R.. "Breaking the symmetry in bimodal frequency distributions of globally
coupled oscillators". Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
57 5 SUPPL. A (1998): 5287-5290. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032069677&partnerID=MN8TOARS.
- Acebrón, J.A.; Bonilla, L.L.. "Asymptotic description of transients and synchronized states of globally coupled oscillators".
Physica D: Nonlinear Phenomena 114 3-4 (1998): 296-314. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032046326&partnerID=MN8TOARS.
- Acebrón, J.A.; Spigler, R.. "Adaptive frequency model for phase-frequency synchronization in large populations of globally
coupled nonlinear oscillators". Physical Review Letters 81 11 (1998): 2229-2232. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032516972&partnerID=MN8TOARS.
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