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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. | ||Previous years: ||[[ScientificSeminar/2019|2019]] ||[[ScientificSeminar/2018|2018]] ||[[ScientificSeminar/2017|2017]] ||[[ScientificSeminar/2016|2016]] ||[[ScientificSeminar/2015|2015]] ||[[ScientificSeminar/2014|2014]] ||[[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]] || |
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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. | ---- '''2021''' ---- [[AbstractLaneHemaspaandra|''Computational Social Choice and Computational Complexity: BFFs (Best Friends Forever)?'']] Lane A. Hemaspaandra, University of Rochester, USA . April 21, 2021, online ---- Title to be announced Hans Ienasescu, Technical University of Denmark . April 14, 2021, 6PM, online ---- [[AbstractFlorinRosu|''Parallel Numerical Algorithms for Fractional Order Systems'']] Florin Rosu, West University of Timisoara, Romania . March 10, 2021, 6PM, online ---- '''2020''' ---- ''The physics of statistical inference and community detection'' Cristopher Moore, Santa Fe Institute, USA . May 20, 2020, online ---- ''Real-time destination prediction for mobile users'' Radu Mariescu, University of Eastern Finland, Finland . May 6, 2020, online ---- ''Formal Design, Implementation and Verification of Blockchain Languages'' Grigore Rosu, University of Illinois at Urbana Champaign, USA . April 29, 2020, online ---- ''It's not Whom You Know, it's What You, or Your Friends, can Do: Coalitional Frameworks for Network Centralities'' Gabriel Istrate, West University of Timisoara, Romania . March 25, 2020, online |
2021
''Computational Social Choice and Computational Complexity: BFFs (Best Friends Forever)?''
Lane A. Hemaspaandra, University of Rochester, USA
- April 21, 2021, online
Title to be announced
Hans Ienasescu, Technical University of Denmark
- April 14, 2021, 6PM, online
''Parallel Numerical Algorithms for Fractional Order Systems''
Florin Rosu, West University of Timisoara, Romania
- March 10, 2021, 6PM, online
2020
The physics of statistical inference and community detection
Cristopher Moore, Santa Fe Institute, USA
- May 20, 2020, online
Real-time destination prediction for mobile users
Radu Mariescu, University of Eastern Finland, Finland
- May 6, 2020, online
Formal Design, Implementation and Verification of Blockchain Languages
Grigore Rosu, University of Illinois at Urbana Champaign, USA
- April 29, 2020, online
It's not Whom You Know, it's What You, or Your Friends, can Do: Coalitional Frameworks for Network Centralities
Gabriel Istrate, West University of Timisoara, Romania
- March 25, 2020, online