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Journal Papers

Juan A. Acebron, Angel Rodriguez-Rozas, An efficient method for the numerical approximation of the one-dimensional Vlasov-Poisson equations based on tree-indexed processes. Submitted.
Juan A. Acebron, Angel Rodriguez-Rozas, Numerical solution of general first-order convection-reaction equations and system of equations based on tree-indexed processes. Submitted.
Juan A. Acebron, Angel Rodriguez-Rozas, A new parallel solver suited for arbitrary semilinear parabolic partial differential equations based on generalized random trees, Journal of Computational Physics, Volume 230, Issue 21 (2011), Pages 7891-7909, ISSN 0021-9991, DOI: 10.1016/j.jcp.2011.06.033.
David Sánchez, David Isern, Ángel Rodríguez-Rozas and Antonio Moreno. Agent-based platform to support the execution of parallel tasks, Expert Systems with Applications, 38(6): 6644-6656 (2011) doi:10.1016/j.eswa.2010.11.073
J. Acebrón, A. Rodríguez-Rozas, and R. Spigler. A fully scalable algorithm suited for petascale computing and beyond, Comput. Sci. Res. Dev, Volume 25, Issue 1-2 (2010), pp. 115-121.
J. Acebrón, A. Rodríguez-Rozas, and R. Spigler. Domain decomposition solution of nonlinear two-dimensional parabolic problems by random trees, Journal of  Computational Physics, 228 (2009) 5574-5591.
J.A. Acebrón, A. Rodríguez-Rozas, and R. Spigler. Efficient parallel solution of nonlinear parabolic partial differential equations by a probabilistic domain decomposition, Journal on Scientific Computing, Volume 43, Issue 2 (2009), pp. 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. In: Wyrzykowski, Roman and Dongarra, Jack and Karczewski, Konrad and Wasniewski, Jerzy (eds.): Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science, 2010, Volume 6067/2010, 41-50, DOI: 10.1007/978-3-642-14390-8_5
D. Sánchez, D. Isern, A. Rodríguez, A. Moreno, General purpose agent-based parallel computing, In: Omatu, S., Rocha, M.P., Bravo, J., Fernández, F., Corchado, E., Bustillo, A. and Corchado, J.M. (eds.): In Proc. of Distributed Computing, Artificial Intelligence, Bioinformatics, Soft Computing, and Ambient Assisted Living. 10th International Work-Conference on Artificial Neural Networks, IWANN 2009 Lecture Notes in Computer Science, Vol. 5518. Springer Berlin / Heidelberg, Salamanca, Spain (2009) 231-238.

Conference proceedings and extended abstracts

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A. M. Gambaruto, A. Rodriguez-Rozas. Blood Flow in Micro-sized Physiological Conduits using Moving-Particle Semi-implicit (MPS) Method. Particle Methods: Fundamentals and Applications (Particles), Barcelona, Spain. October 26-28, 2011. (accepted).
J.A. Acebron, A. Rodriguez-Rozas. An efficient parallel numerical method for solving reaction-diffusion partial differential equations based on generalized random trees. The International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS), Waterloo, Ontario, Canada, July 25 - 29, 2011.
A. M. Gambaruto, A. Rodriguez-Rozas, A. Sequeira. Parallel Solvers simulating flow in capillaries using the moving particle semi-implicit method. Congresso de Métodos Numéricos em Engenharia - CMNE 2011, Coimbra, Portugal, 14-17 June 2011.
J.A. Acebron, A. Rodriguez-Rozas. Stochastic methods on supercomputers, Workshop in stochastic methods for turbulence simulations. Commissariat a l´Energie Atomique (CEA), Cadarache, France, November 2010.
J.A. Acebron, A. Rodriguez-Rozas. Numerical solution of nonlinear two-dimensional parabolic partial differential equations by branching stochastic processes. 2010 SIAM Annual Meeting (AN´10), Pittsburgh, Philadelphia, USA, July 2010.
J.A. Acebron, A. Rodriguez-Rozas. New probabilistc approaches to solve nonlinear parabolic partial differential equations by branching stochastic processes. International Congress on Computational and Applied Mathematics (ICCAM´10), Leuven, Belgium, July 2010.
J.A. Acebron, A. Rodriguez-Rozas, R. Spigler, and R. Vilela-Mendes. A probabilistic-based numerical method for solving efficiently the three-dimensional Fourier transformed Vlasov-Poisson equation. 21st International Conference on Numerical Simulation of Plasmas 2009, 6-9 October 2009, Lisbon, Portugal.
J.A. Acebron, A. Rodriguez-Rozas, and R. Spigler. Probabilistic domain decomposition of nonlinear parabolic partial differential equations by random trees. 19th International Conference on Domain Decomposition Methods, 17-22 August 2009, Zhangjiajie, China.
J.A. Acebron, A. Rodriguez-Rozas, and R. Spigler. New challenges in parallel scientific computing: The successful case of a probabilistic domain decomposition method. Workshop on kinetics and statistical methods for complex particle systems, 20-24 July 2009, Lisbon, Portugal.
J. A. Acebrón, A. Rodríguez-Rozas, R. Spigler. Numerical Solution of Nonlinear Parabolic Partial Differential Equations by Branching Stochastic Processes. SIAM Conference on Computational Science and Engineering. (2009). Miami, Florida.
D. Sánchez, A. Rodríguez, A. Moreno. Parallel execution of complex tasks using a distributed, robust and flexible agent platform. (DESMA07).
 
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