A nudging-based data assimilation method: the Back and Forth Nudging (BFN) algorithm D Auroux, J Blum Nonlinear Processes in Geophysics 15 (2), 305-319, 2008 | 135 | 2008 |
Back and forth nudging algorithm for data assimilation problems D Auroux, J Blum Comptes Rendus Mathematique 340 (12), 873-878, 2005 | 118 | 2005 |
Image restoration and classification by topological asymptotic expansion D Auroux, M Masmoudi, L Belaid Variational formulations in mechanics: theory and applications 2006, 23-42, 2006 | 73 | 2006 |
Smoothing problems in a Bayesian framework and their linear Gaussian solutions E Cosme, J Verron, P Brasseur, J Blum, D Auroux Monthly Weather Review 140 (2), 683-695, 2012 | 63 | 2012 |
A one-shot inpainting algorithm based on the topological asymptotic analysis D Auroux, M Masmoudi Computational & Applied Mathematics 25, 251-267, 2006 | 48 | 2006 |
Large multibeam array antennas with reduced number of active chains G Caille, Y Cailloce, C Guiraud, D Auroux, T Touya, M Masmousdi IET Digital Library, 2007 | 46 | 2007 |
Limited-memory BFGS diagonal preconditioners for a data assimilation problem in meteorology F Veersé, D Auroux, M Fisher Optimization and Engineering 1 (3), 323-339, 2000 | 37 | 2000 |
The back and forth nudging algorithm for data assimilation problems: theoretical results on transport equations D Auroux, M Nodet ESAIM: Control, Optimisation and Calculus of Variations 18 (2), 318-342, 2012 | 36 | 2012 |
Image processing by topological asymptotic expansion D Auroux, M Masmoudi Journal of Mathematical Imaging and Vision 33 (2), 122-134, 2009 | 33 | 2009 |
From restoration by topological gradient to medical image segmentation via an asymptotic expansion D Auroux Mathematical and Computer Modelling 49 (11-12), 2191-2205, 2009 | 28 | 2009 |
Variational data assimilation for discrete Burgers equation. A Apte, D Auroux, M Ramaswamy Electronic Journal of Differential Equations (EJDE)[electronic only] 2010, 15-30, 2010 | 25 | 2010 |
Diffusive Back and Forth Nudging algorithm for data assimilation D Auroux, J Blum, M Nodet Comptes Rendus Mathematique 349 (15-16), 849-854, 2011 | 24 | 2011 |
A topological asymptotic analysis for the regularized grey-level image classification problem D Auroux, LJ Belaid, M Masmoudi ESAIM: Mathematical Modelling and Numerical Analysis 41 (3), 607-625, 2007 | 24 | 2007 |
The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D‐VAR D Auroux International journal for numerical methods in fluids 61 (8), 911-929, 2009 | 22 | 2009 |
Image processing by topological asymptotic analysis D Auroux, M Masmoudi ESAIM: Proceedings 26, 24-44, 2009 | 21 | 2009 |
An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons D Auroux, P Bansart, J Blum Inverse Problems in Science and Engineering 21 (3), 399-419, 2013 | 17 | 2013 |
Identification of velocity fields for geophysical fluids from a sequence of images D Auroux, J Fehrenbach Experiments in Fluids 50 (2), 313-328, 2011 | 17 | 2011 |
Symmetry-based observers for some water-tank problems D Auroux, S Bonnabel IEEE transactions on automatic control 56 (5), 1046-1058, 2010 | 16 | 2010 |
Application of the topological gradient method to color image restoration D Auroux, LJ Belaid, B Rjaibi SIAM Journal on Imaging Sciences 3 (2), 153-175, 2010 | 14 | 2010 |
Etude de différentes méthodes d'assimilation de données pour l'environnement D Auroux Atelier de reproduction des thèses, 2006 | 13 | 2006 |