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| ||Previous years:||[[ScientificSeminar/2009|2009]]|| | 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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| '''Salvatore Venticinque''', Second University of Napoli, Italy ''Ontologies in an Agent-based Grid Resource Management System'' October 20, 2010 Mirela Darau, Technical University of Eindhoven Boundary Layer - Acoustic Liner Instabilities July 21, 2010 Antonio Martin, University of Sevilla, Spain Artificial Intelligence and Ontologies May 26, 2010 Maria Ganzha, Polish Academy of Science Ontologies in an Agent-based Grid Resource Management System May 19, 2010 Marc Frincu, West University of Timisoara Rule Based System for Executing Scheduling Heuristics May 12, 2010 Ovidiu Aritoni, West University of Timisoara Ambient Intelligence May 12, 2010 Andrei Petrovski, The Robert Gordon University, Aberdeen, UK Recent Trends in Teaching Computing in UK Universities March 23, 2010 Flavius Turcu, University of Bordeaux, France Tehnici de analiza armonica si stohastica in procesarea semnalelor si imaginilor February 24, 2010 |
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.