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| ||Previous years: ||[[ScientificSeminar/2013|2013]] ||[[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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---- '''2014''' ---- ''mOSAIC: PaaS (Platform as a Service) support for multi-clouds'' '''Georgiana Macarie''', Politehnica University of Timisoara . May 5, 2014 ---- [[AbstractIonelMuscalagiu|Modeling, simulating and real execution of distributed constraints in NetLogo (DisCSP-Netlogo)]] '''Ionel Muscalagiu''', Politehnica University of Timisoara . April 30, 2014 ---- ''mOSAIC: IaaS (Infrastructure as a Service) support for multi-clouds'' '''Silviu Panica''', West University of Timisoara . April 9, 2014 ---- [[AbstractAlexandraPopescu|Study of the directional solidification process of multicrystalline silicon by numerical methods]] '''Alexandra Popescu''', West University of Timisoara . April 2, 2014 ---- [[AbstractDarianOnchis|Computational challenges in frames-based signal and image processing]] '''Darian Onchis''', West University of Timisoara . March 26, 2014 ---- ''Problems with analytic profiles: analysis of the profile and linear perturbation theory: the detonation, the ignition, the heating of plasma by a magnetic field. Relation with the nerve influx'' '''Olivier Lafitte''', University Paris 13 . March 19, 2014 ---- [[AbstractMadalinaErascu|Computational Logic and Quantifier Elimination Techniques for (Semi-)automatic Static Analysis and Synthesis of Algorithms (II)]] '''Madalina Erascu''', West University of Timisoara . March 12, 2014 ---- [[AbstractMadalinaErascu|Computational Logic and Quantifier Elimination Techniques for (Semi-)automatic Static Analysis and Synthesis of Algorithms (I)]] '''Madalina Erascu''', West University of Timisoara . March 5, 2014 ---- |
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.