Ángel Rodríguez-Rozas' Home Page at IST
About me

Ángel Rodríguez-Rozas
Ph.D. student at the Center for Mathematics and its Applications (CEMAT), department of Mathematics, Instituto Superior Técnico.

UC Berkeley

Personal data:
Birth date: 30.11.1983
Nationality: Spain
Contact e-mail: email
Phone: (+351) 218 417 883
FAX: (+351) 218 417 048

Address:
Instituto Superior Tecnico
Department of Mathematics
Av. Rovisco Pais 1049-001. Lisboa. Portugal

CEMAT at IST

UC Berkeley campus, California, US, summer 2011.

Ángel Rodríguez-Rozas is currently a Ph.D. student in Computational Science and Engineering. He pursued his studies in Computer Science at University of Rovira I Virgili of Tarragona, receiving the outstanding graduation award.

His current research interests focus on the development of new efficient numerical algorithms for high performance scientific computing. This research field is usually referred to as Computational Mathematics, and may be considered as a meeting point between Computational Physics, Nonlinear Physics, Applied Mathematics, Numerical Mathematics, Computational Science and Engineering, Scientific Computing, and Parallel Computing. The common denominator is the fact of making realistic predictions on challenging problems arising from Science and Engineering. Such a problems, being nonlinear, usually requires a huge computational effort to be solved. Despite Supercomputers have already entered in the petascale computing era, at the present time almost all algorithms are not capable of efficiently exploit such a computational resources mainly due to the well-know parallel computing related-issues.

In his Ph.D. thesis under the supervision of Dr. Juan A. Acebrón, he is developing new algorithms based on a probablisitc domain decomposition for solving partial differential equations. Such algorithm, called PDD (Probabilistic Domain Decomposition), being based on Monte Carlo techniques, has shown its capabilities to overcome the inherently synchronization and communication limitations that classical algorithms usually have, being the original problems fully decoupled into as many subproblems as the number of available processors, exhibiting a remarkable scalability. Such a method is being extended to solve a wide range of nonlinear partial differential equations, whose solution can be represented probabilistically being amenable solved by the PDD algorithm. Among them it is being considering very important equations, such as the Maxwell-Vlasov, and the Navier-Stokes equations, governing Plasma Physics, and Fluid dynamics problems, respectively.

He has also had general interests and contributions in Artificial Intelligence during the bachelor's degree, specifically in the Multi-Agent System paradigm and their capabilities for general purpose parallel computing, with particular application in complex knowledge acquisition methods.

 
Publications

Publications

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

.
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).