Edit Profile (opens in new tab) Auroux, Didier Co-Author Distance Author ID: auroux.didier Published as: Auroux, Didier; Auroux, D. External Links: MGP Documents Indexed: 29 Publications since 2000, including 1 Additional arXiv Preprint Co-Authors: 17 Co-Authors with 18 Joint Publications 225 Co-Co-Authors all top 5 Co-Authors 6 single-authored 7 Blum, Jacques 2 Apte, Amit 2 Bonnabel, Silvère 2 Nodet, Maëlle 2 Ramaswamy, Mythily 2 Rjaibi, Badreddine 1 Amraoui, Samira 1 Bansart, Patrick 1 Chèze, Guillaume 1 Cosme, Emmanuel 1 Groza, Vladimir 1 Lajili, Mohamed 1 Moakher, Maher 1 Ruggiero, Giovanni 1 Vasan, Vishal 1 Veersé, Fabrice 1 Yakoubsohn, Jean-Claude all top 5 Serials 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Inverse Problems in Science and Engineering 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 IEEE Transactions on Automatic Control 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Mathematical and Computer Modelling 1 Journal of Mathematical Imaging and Vision 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Electronic Journal of Differential Equations (EJDE) 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Optimization and Engineering 1 Applied Mathematics E-Notes 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Engineering Mathematics all top 5 Fields 12 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 12 Geophysics (86-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Information and communication theory, circuits (94-XX) 5 Fluid mechanics (76-XX) 5 Systems theory; control (93-XX) 4 Computer science (68-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 140 times in 91 Documents Cited by ▼ Year ▼ Back and forth nudging algorithm for data assimilation problems. Zbl 1074.34006 Auroux, Didier; Blum, Jacques 33 2005 The back and forth nudging algorithm for data assimilation problems : theoretical results on transport equations. Zbl 1252.65159 Auroux, Didier; Nodet, Maëlle 16 2012 A topological asymptotic analysis for the regularized grey-level image classification problem. Zbl 1138.68622 Auroux, Didier; Jaafar Belaid, Lamia; Masmoudi, Mohamed 12 2007 An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons. Zbl 1281.35093 Auroux, Didier; Bansart, Patrick; Blum, Jacques 10 2013 A one-shot inpainting algorithm based on the topological asymptotic analysis. Zbl 1182.94006 Auroux, Didier; Masmoudi, Mohamed 9 2006 From restoration by topological gradient to medical image segmentation via an asymptotic expansion. Zbl 1171.94304 Auroux, Didier 9 2009 Diffusive back and forth nudging algorithm for data assimilation. Zbl 1222.86008 Auroux, Didier; Blum, Jacques; Nodet, Maëlle 8 2011 Limited-memory BFGS diagonal preconditioners for a data assimilation problem in meteorology. Zbl 0991.65051 Veersé, F.; Auroux, D.; Fisher, M. 8 2000 Application of the topological gradient method to color image restoration. Zbl 1188.94014 Auroux, Didier; Jaafar Belaid, Lamia; Rjaibi, Badreddine 7 2010 Symmetry-based observers for some water-tank problems. Zbl 1368.93042 Auroux, Didier; Bonnabel, Silvère 6 2011 The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D-VAR. Zbl 1252.76058 Auroux, D. 5 2009 Image processing by topological asymptotic expansion. Zbl 1523.68139 Auroux, Didier; Masmoudi, Mohamed 5 2009 Image processing by topological asymptotic analysis. Zbl 1183.68679 Auroux, Didier; Masmoudi, Mohamed 5 2008 Optimal parameters identification and sensitivity study for abrasive waterjet milling model. Zbl 1444.35161 Auroux, D.; Groza, V. 2 2017 Variational data assimilation for discrete Burgers equation. Zbl 1200.35010 Apte, Amit; Auroux, Didier; Ramaswamy, Mythily 2 2010 Ocean-depth measurement using shallow-water wave models. Zbl 1487.76020 Vasan, V.; Manisha; Auroux, D. 2 2021 Approximate GCD a la dedieu. Zbl 1252.49047 Yakoubsohn, Jean-Claude; Masmoudi, Mohamed; Cheze, Guillaume; Auroux, Didier 1 2011 Data assimilation methods for an oceanographic problem. Zbl 1125.86315 Auroux, Didier; Blum, Jacques 1 2004 Generalization of the dual variational data assimilation algorithm to a nonlinear layered quasi-geostrophic ocean model. Zbl 1125.86005 Auroux, Didier 1 2007 Ocean-depth measurement using shallow-water wave models. Zbl 1487.76020 Vasan, V.; Manisha; Auroux, D. 2 2021 Optimal parameters identification and sensitivity study for abrasive waterjet milling model. Zbl 1444.35161 Auroux, D.; Groza, V. 2 2017 An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons. Zbl 1281.35093 Auroux, Didier; Bansart, Patrick; Blum, Jacques 10 2013 The back and forth nudging algorithm for data assimilation problems : theoretical results on transport equations. Zbl 1252.65159 Auroux, Didier; Nodet, Maëlle 16 2012 Diffusive back and forth nudging algorithm for data assimilation. Zbl 1222.86008 Auroux, Didier; Blum, Jacques; Nodet, Maëlle 8 2011 Symmetry-based observers for some water-tank problems. Zbl 1368.93042 Auroux, Didier; Bonnabel, Silvère 6 2011 Approximate GCD a la dedieu. Zbl 1252.49047 Yakoubsohn, Jean-Claude; Masmoudi, Mohamed; Cheze, Guillaume; Auroux, Didier 1 2011 Application of the topological gradient method to color image restoration. Zbl 1188.94014 Auroux, Didier; Jaafar Belaid, Lamia; Rjaibi, Badreddine 7 2010 Variational data assimilation for discrete Burgers equation. Zbl 1200.35010 Apte, Amit; Auroux, Didier; Ramaswamy, Mythily 2 2010 From restoration by topological gradient to medical image segmentation via an asymptotic expansion. Zbl 1171.94304 Auroux, Didier 9 2009 The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D-VAR. Zbl 1252.76058 Auroux, D. 5 2009 Image processing by topological asymptotic expansion. Zbl 1523.68139 Auroux, Didier; Masmoudi, Mohamed 5 2009 Image processing by topological asymptotic analysis. Zbl 1183.68679 Auroux, Didier; Masmoudi, Mohamed 5 2008 A topological asymptotic analysis for the regularized grey-level image classification problem. Zbl 1138.68622 Auroux, Didier; Jaafar Belaid, Lamia; Masmoudi, Mohamed 12 2007 Generalization of the dual variational data assimilation algorithm to a nonlinear layered quasi-geostrophic ocean model. Zbl 1125.86005 Auroux, Didier 1 2007 A one-shot inpainting algorithm based on the topological asymptotic analysis. Zbl 1182.94006 Auroux, Didier; Masmoudi, Mohamed 9 2006 Back and forth nudging algorithm for data assimilation problems. Zbl 1074.34006 Auroux, Didier; Blum, Jacques 33 2005 Data assimilation methods for an oceanographic problem. Zbl 1125.86315 Auroux, Didier; Blum, Jacques 1 2004 Limited-memory BFGS diagonal preconditioners for a data assimilation problem in meteorology. Zbl 0991.65051 Veersé, F.; Auroux, D.; Fisher, M. 8 2000 all cited Publications top 5 cited Publications all top 5 Cited by 146 Authors 11 Auroux, Didier 9 Novotny, Antonio André 4 Amstutz, Samuel 4 Blum, Jacques 4 Burman, Erik 4 Carasso, Alfred S. 4 Oksanen, Lauri 3 Moakher, Maher 3 Oliver, Marcel 3 Sokołowski, Jan 3 Van Goethem, Nicolas 3 Zuazua, Enrique 2 Aalto, Atte 2 Aubert, Gilles 2 Ben Abda, Amel 2 Drogoul, Audric 2 Fehrenbach, Jérôme 2 Feizmohammadi, Ali 2 Giannakoglou, Kyriakos C. 2 Lecaros, Rodrigo 2 Masur, Gökce Tuba 2 Mohamad, Haidar 2 Moireau, Philippe 2 Nodet, Maëlle 2 Papadimitriou, Dimitrios I. 2 Park, Won-Kwang 2 Ramdani, Karim 2 Rasheed, Adil 2 San, Omer 2 Silva, Mariana 2 Sy, Alassane 2 Theljani, Anis 2 Titi, Edriss Saleh 2 Tortorelli, Daniel A. 2 Tucsnak, Marius 2 Xie, Weisong 2 Zochowski, Antoni 1 Ahmed, Shady E. 1 Al-Hajri, Monerah 1 Almalki, Nawal Hassan 1 Ammari, Habib 1 Amraoui, Samira 1 Andrä, Heiko 1 Andrieu, Vincent 1 Anitescu, Mihai 1 Apte, Amit 1 Arcucci, Rossella 1 Banavar, Ravi N. 1 Bansart, Patrick 1 Bardsley, Johnathan M. 1 Belaid, Karim 1 Belhachmi, Zakaria 1 Beretta, Elena 1 Biglari, Fahimeh 1 Biswas, Animikh 1 Boisserie, Marie 1 Boso, Francesca 1 Boulakia, Muriel 1 Brivadis, Lucas 1 Canelas, Alfredo 1 Carracciuolo, Luisa 1 Catak, Muammer 1 Chang, Yuxuan 1 Chapelle, Dominique 1 Chen, Chuei Yee 1 Chervova, Olga 1 Cocke, Steven 1 Collin, Annabelle 1 Corrado, Cesare 1 Cosme, Emmanuel 1 Cox, Graham 1 D’Amore, Luisa 1 Diouf, Serigne 1 Esteve, Carlos 1 Feppon, Florian 1 Fernández, Miguel Ángel 1 Foiaș, Ciprian 1 Fridman, Emilia 1 Garcia, Galina C. 1 Gauthier, Jean-Paul A. 1 Gerbeau, Jean-Frédéric 1 Geubelle, Philippe H. 1 Giusti, Sebastián M. 1 Gottwald, Georg A. 1 Haine, Ghislain 1 Hao, Xuanting 1 Hassine, Maatoug 1 Houichet, Hamdi 1 Howard, Marylesa 1 Hrizi, Mourad 1 Jolly, Michael Summerfield 1 Joshi, Anant A. 1 Kallel, Moez 1 Kang, Sung Ha 1 Khludnev, Aleksandr Mikhaĭlovich 1 Kvamsdal, Trond 1 Lajili, Mohamed 1 Larnier, Stanislas 1 Leong, Wah June 1 Li, Tianyi ...and 46 more Authors all top 5 Cited in 56 Serials 6 Inverse Problems in Science and Engineering 4 Inverse Problems 4 Journal of Computational Physics 4 Mathematical Methods in the Applied Sciences 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Automatica 3 Journal of Mathematical Imaging and Vision 3 Multiscale Modeling & Simulation 3 Inverse Problems and Imaging 2 Computers and Fluids 2 Journal of Mathematical Analysis and Applications 2 Journal of the Mechanics and Physics of Solids 2 Mathematics of Computation 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Control and Optimization 2 Journal of Inverse and Ill-Posed Problems 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Solids and Structures 1 Journal of Fluid Mechanics 1 Wave Motion 1 Journal of Differential Equations 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Mathematical and Computer Modelling 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Tatra Mountains Mathematical Publications 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 Advances in Difference Equations 1 Boundary Value Problems 1 GAMM-Mitteilungen 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Geometric Mechanics 1 International Journal of Numerical Methods and Applications 1 ISRN Mathematical Analysis 1 Results in Applied Mathematics all top 5 Cited in 25 Fields 42 Partial differential equations (35-XX) 29 Numerical analysis (65-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 20 Systems theory; control (93-XX) 15 Fluid mechanics (76-XX) 14 Information and communication theory, circuits (94-XX) 13 Geophysics (86-XX) 9 Mechanics of deformable solids (74-XX) 6 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Optics, electromagnetic theory (78-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year