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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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| ---- ''Ontologies in an Agent-based Grid Resource Management System'' '''Salvatore Venticinque''', Second University of Napoli, Italy October 20, 2010 ---- ''Boundary Layer - Acoustic Liner Instabilities'' '''Mirela Darau''', Technical University of Eindhoven July 21, 2010 ---- ''Artificial Intelligence and Ontologies'' '''Antonio Martin''', University of Sevilla, Spain May 26, 2010 ---- ''Ontologies in an Agent-based Grid Resource Management System'' '''Maria Ganzha''', Polish Academy of Science May 19, 2010 ---- ''Rule Based System for Executing Scheduling Heuristics'' '''Marc Frincu''', West University of Timisoara May 12, 2010 ---- ''Ambient Intelligence'' '''Ovidiu Aritoni''', West University of Timisoara May 12, 2010 ---- ''Recent Trends in Teaching Computing in UK Universities'' '''Andrei Petrovski''', The Robert Gordon University, Aberdeen, UK March 23, 2010 ---- ''Armonic and stochastic analysis in image and signal processing'' '''Flavius Turcu''', University of Bordeaux, France 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.