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AD-based perturbation methods for uncertainties and errors

A. Belme 1 M. Martinelli 1 L. Hascoët 1 V. Pascual 1 Alain Dervieux 1 
1 TROPICS - Program transformations for scientific computing
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The progress of Automatic Differentiation ({\bf AD}) and its impact on perturbation methods is the object of this paper. AD studies show an important activity for developing methods addressing the management of modern CFD kernels, taking into account the language evolution, and intensive parallel computing. The evaluation of a posteriori error analysis and of resulting correctors will be addressed. Recents works in the AD-based contruction of second-derivatives for building reduced-order models based on a Taylor formula will be presented on the test case of a steady compressible flow around an aircraft.
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Submitted on : Friday, March 20, 2009 - 4:58:45 PM
Last modification on : Friday, February 4, 2022 - 3:09:14 AM
Long-term archiving on: : Friday, October 12, 2012 - 2:05:16 PM


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  • HAL Id : inria-00369692, version 1



A. Belme, M. Martinelli, L. Hascoët, V. Pascual, Alain Dervieux. AD-based perturbation methods for uncertainties and errors. 44th AAAF Colloque, Mar 2009, Nantes, France. ⟨inria-00369692⟩



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