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| ||Previous years: ||[[ScientificSeminar/2011|2011]] ||[[ScientificSeminar/2010|2010]] ||[[ScientificSeminar/2009|2009]] ||[[ScientificSeminar/2008|2008]] ||[[ScientificSeminar/2007|2007]] ||[[ScientificSeminar/2006|2006]] ||[[ScientificSeminar/2005|2005]] || | We present a novel parallel algorithm to solve fractional-order systems involving Caputo-types derivative. The numerical method used for finding the solution is Adams-Bashforth-Moulton (ABM) predictor-corrector scheme. Using MPI and OPENMP frameworks the algorithm was implemented to run on a BlueGene/P supercomputer. The same algorithm that ran on the BlueGene/P cluster was adapted to run on GPU and exploit the GPU's capabilities. A comparison between these approaches is presented by running numerical simulations of the same three-dimensional fractional-order systems. |
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'''2013''' ---- ''Optimization and Parallelization of the Minimum Volume Simplex Analysis for the extraction of end-members in Hyperspectral Images'' '''Alexander Agathos''', West University of Timisoara . March 6, 2013 '''2012''' ---- ''Submodular optimization and fairness in cooperative games'' '''Cosmin Bonchis''', West University of Timisoara . June 6, 2012 ---- ''Numerical methods for nanoscale electrodynamics'' '''Claudiu Biris''', West University of Timisoara . May 23, 2012 ---- ''Theory Exploration in Theorema: Case Study on Lists'' '''Isabela Dramnesc''', West University of Timisoara . May 9, 2012 ---- ''Automatic Inference of Bounds on Resource Consumption'' '''German Puebla''', Technical University of Madrid . May 8, 2012 ---- ''Multi-Agent Governance in Cloud'' '''Victor Munteanu''', West University of Timisoara . April 25, 2012 ---- ''Memory-Efficient Static Analysis of Binary Code for Antivirus Development'' '''Ciprian Pungila''', West University of Timisoara . April 11, 2012 ---- ''Reflection of an electromagnetic wave by a curved boundary: us of the geometric rotational and laplacian'' '''Olivier Lafitte''', Universite Paris 13, France . April 4, 2012 ---- ''Membrane Computing, after (almost) 14 years'' '''Gheorghe Paun''', Academia Romana . April 3, 2012 ---- ''Towards Human Behavior Analysis in Pervasive Spaces based on Energy Consumption'' '''Ovidiu Aritoni''', West University of Timisoara . March 21, 2012 ---- ''Neuroevolutionary Multiagent Systems in Real Time Games'' '''Gabriel Juhasz''', West University of Timisoara . February 29, 2012 ---- '''2011''' ---- ''Finite Mixture Distributions: Theory and Applications'' '''Lucian Radu''', Catholic University of Lisbon, Portugal . December 14, 2011 ---- ''Unification'' '''Temur Kutsia''', RISC Linz, Austria . November 2, 2011 ---- ''Video Understanding for Activity Monitoring'' '''Francois Bremond''', INRIA Sophia Antipolis, France . July 27, 2011 ---- ''Self-organization in Software Engineering and the SelfLet approach'' '''Nicolò M. Calcavecchia''', '''Daniel J. Dubois''', Politecnico di Milano, Italy . June 1, 2011 ---- ''Face Detection using LBP and MCT Features'' '''Silviu Tudor Serban''', West University of Timisoara, Romania . June 1, 2011 ---- ''RiSE: Rigorous System Engineering'' '''Laura Kovacs''', Vienna Technical University, Austria . May 26, 2011 ---- ''EasyChair'' '''Andrei Voronkov''', University of Manchester, UK . May 26, 2011 ---- ''Recovering band-limited signals from noisy and jittered information'' '''Marek Kowalski''', Warsaw Management Academy, Poland . May 25, 2011 ---- ''Data Stream : Sequential Pattern and Outlier Mining'' '''Alice Marascu''', Universita degli Studi di Trento, Italy . May 11, 2011 ---- ''Unification Algorithms in Common Logic'' '''Mircea Marin''', Universitatea de Vest din Timisoara, Romania . May 4, 2011 ---- ''Vectorial Partitions and Applications'' '''Flavius Turcu''', Universite de Bordeaux, France . March 23, 2011 ---- ''Geometrical Optics for Linearized Hyperbolic Systems'' '''Olivier Lafitte''', Universite Paris 13, France . March 9, 2011 ---- ''Optimizing complex-structure XML queries'' '''Alexandra Roatis''', Universitatea de Vest din Timisoara, Romania . January 17, 2011 ---- ''SOS Cloud: Self-Organizing Services in the Cloud'' '''Bogdan Alexandru Caprarescu''', Universitatea de Vest din Timisoara, Romania . January 5, 2011 ---- |
The algorithm implemented in CUDA that approximates the solution using the ABM method was also adapted to use Diethelm's method. Having the same algorithm that runs on the same system, enables an accurate and practical comparison between the numerical methods. |
We present a novel parallel algorithm to solve fractional-order systems involving Caputo-types derivative. The numerical method used for finding the solution is Adams-Bashforth-Moulton (ABM) predictor-corrector scheme. Using MPI and OPENMP frameworks the algorithm was implemented to run on a BlueGene/P supercomputer. The same algorithm that ran on the BlueGene/P cluster was adapted to run on GPU and exploit the GPU's capabilities. A comparison between these approaches is presented by running numerical simulations of the same three-dimensional fractional-order systems.
The algorithm implemented in CUDA that approximates the solution using the ABM method was also adapted to use Diethelm's method. Having the same algorithm that runs on the same system, enables an accurate and practical comparison between the numerical methods.