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| ||Previous years:||[[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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| '''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.