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| ||Previous years: || [[ScientificSeminar/2012|2012]] ||[[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''' ---- ''Detecting user actions in location-aware mobile applications'' '''Radu Mariescu''', University of Eastern Finland . November 27, 2013 ---- ''Hyperspectral images and the linear mixture model to analyze them'' '''Alexander Agathos''', West University of Timisoara . November 6, 2013 ---- ''Does Computer Vision Need HPC?'' '''Debora Gil''', Universidad Autonoma de Barcelona . June 18, 2013 ---- ''SEED - a cloud of public services'' '''Daniel Pop''', West University of Timisoara . May 22, 2013 ---- ''Rayleigh Benard instability in the convection in the mantle'' '''Olivier Lafitte''', Universite Paris 13, France . May 17, 2013 ---- ''Attack Models in Cloud Computing'' '''Roxana Farcasescu''', West University of Timisoara . May 8, 2013 ---- ''Outages Seen as Security Leaks in Cloud Computing'' '''Roxana Farcasescu''', West University of Timisoara . April 17, 2013 ---- ''Big Data: Challenges and Solutions'' '''Daniel Pop''', West University of Timisoara . April 10, 2013 ---- ''Syntactic Unification and Matching'' '''Aurelian Radoaca''', West University of Timisoara . April 3, 2013 ---- ''Empirical Software Engineering with Examples'' '''Cristina Marinescu''', West University of Timisoara and Politehnica University of Timisoara . March 20, 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 |
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.