Controllability of quantum mechanical systems by root space decomposition of su(N), Journal of Mathematical Physics, vol.43, issue.5, pp.2051-2062, 2002. ,
DOI : 10.1063/1.1467611
Control of Chemical Reactions by Feedback-Optimized Phase-Shaped Femtosecond Laser Pulses, Science, vol.282, issue.5390, pp.919-922, 1998. ,
DOI : 10.1126/science.282.5390.919
Uniqueness and stability in an inverse problem for the Schr??dinger equation, Inverse Problems, vol.23, issue.3, pp.1537-1554, 2002. ,
DOI : 10.1088/0266-5611/23/3/C01
Local controllability of a 1-D Schr??dinger equation, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.7, pp.851-956, 2005. ,
DOI : 10.1016/j.matpur.2005.02.005
Local controllability of 1D linear and nonlinear Schr??dinger equations with bilinear control, Journal de Math??matiques Pures et Appliqu??es, vol.94, issue.5, pp.520-554, 2010. ,
DOI : 10.1016/j.matpur.2010.04.001
Équations intégrales et éléments de frontière : applications en mécanique des solides et des fluides Collection Sciences et techniques de l'ingénieur, CNRS éd, p.9782212058208, 1995. ,
Modélisation de l'électro-localisation active chez les poissons faiblement électriques, Thèse de doctorat dirigée par Ammari, Habib Mathématiques appliquées Palaiseau , Ecole polytechnique 2013146 p.) URL: http : / / www . theses.fr, 20130108. ,
Underwater Reflex Navigation in Confined Environment Based on Electric Sense, IEEE Transactions on Robotics, vol.29, issue.4, pp.945-956, 2013. ,
DOI : 10.1109/TRO.2013.2255451
URL : https://hal.archives-ouvertes.fr/in2p3-00858812
Model for a Sensor Inspired by Electric Fish, IEEE Transactions on Robotics, vol.28, issue.2, pp.492-505, 2011. ,
DOI : 10.1109/TRO.2011.2175764
URL : https://hal.archives-ouvertes.fr/hal-00614081
Boundary Elements: An Introductory Course, Journal of Applied Mechanics, vol.58, issue.3, 1996. ,
DOI : 10.1115/1.2897280
The electric organ discharge of pulse gymnotiforms : the transformation of a simple impulse into a complex spatio-temporal electromotor pattern, Journal of Experimental Biology, vol.20210, pp.1229-1241, 1999. ,
Handbook of Numerical Analysis, Computational Chemistry : Reviews of Current Trends, vol.10, p.9780444512482, 1990. ,
On the origin of species by means of natural selection, or the preservation of favoured races in the struggle for life, 1859. ,
La Théorie du potentiel et ses applications aux problèmes fondamentaux de la physique mathématique, par N. M. Gunther. impr.-édit, 1934. ,
Low Reynolds number hydrodynamics with special applications to particulate media Mechanics of fluids and transport processes. Martinus Nijhoff publishers, pp.10-1007, 1983. ,
Calculation of potential flow about arbitrary bodies, Progress in Aerospace Sciences, pp.1-138, 1967. ,
DOI : 10.1016/0376-0421(67)90003-6
Boundary Integral Equations Applied Mathematical Sciences, 2008. ,
Sensor model for the navigation of underwater vehicles by the electric sense, 2010 IEEE International Conference on Robotics and Biomimetics, pp.879-884, 2010. ,
DOI : 10.1109/ROBIO.2010.5723442
URL : https://hal.archives-ouvertes.fr/hal-00704063
Modélisation de l'électrolocation pour la bio-robotique " . Thèse de doctorat dirigée par Boyer, F. Bio-mécanique et bio-ingénierie Nantes, Ecole des Mines 2012, 20120010. ,
Foundations of potential theory, 1929. ,
Microhydrodynamics : principles and selected applications, 1991. ,
Control through operators for quantum chemistry " . Decision and Control (CDC), 2012 IEEE 51st Annual Conference on. 2012, pp.1663-1667 ,
URL : https://hal.archives-ouvertes.fr/hal-00678040
Hamiltonian identification for quantum systems : Well-posedness and numerical approaches, pp.378-395, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00798211
Underwater robot navigation around a sphere using electrolocation sense and Kalman filter " . Intelligent Robots and Systems (IROS), IEEE, pp.4225-4230, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00634830
Résolution de l'équation de Laplace par la méthode des éléments de frontière, 2004. ,
Is 2D impedance tomography a reliable technique for two-phase flow?, Nuclear Engineering and Design, vol.184, issue.2-3, pp.2-3, 1998. ,
DOI : 10.1016/S0029-5493(98)00201-5
Selective Bond Dissociation and Rearrangement with Optimally Tailored, Strong-Field Laser Pulses, Science, vol.292, issue.5517, pp.709-713, 2001. ,
DOI : 10.1126/science.1059133
The mechanism of object location in Gymnarchus niloticus and similar fish, The Journal of Experimental Biology, vol.35, pp.451-486, 1958. ,
A greedy algorithm for the identification of quantum systems, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, pp.375-3795400691, 2009. ,
DOI : 10.1109/CDC.2009.5400691
URL : https://hal.archives-ouvertes.fr/hal-00367139
Monotonic Parareal Control for Quantum Systems, SIAM Journal on Numerical Analysis, vol.45, issue.6, pp.2468-2482, 2007. ,
DOI : 10.1137/050647086
Monotonic time-discretized schemes in quantum control, Numerische Mathematik, vol.103, issue.2, pp.323-338, 2006. ,
DOI : 10.1007/s00211-006-0678-x
URL : https://hal.archives-ouvertes.fr/hal-00112592
New formulations of monotonically convergent quantum control algorithms, The Journal of Chemical Physics, vol.118, issue.18, pp.8191-8196, 2003. ,
DOI : 10.1063/1.1564043
URL : https://hal.archives-ouvertes.fr/hal-00798478
Newton algorithm for Hamiltonian characterization in quantum control Journal of Physics A : Mathematical and Theoretical 47, 2014. ,
Optimal control theory for unitary transformations " . PHYSI- CAL REVIEW A 68, 2003. ,
Whither the Future of Controlling Quantum Phenomena?, Science, vol.288, issue.5467, pp.824-828, 2000. ,
DOI : 10.1126/science.288.5467.824
Controllability of molecular systems, Phys. Rev. A, vol.51, issue.2, pp.960-966, 1995. ,
Electric images of two low resistance objects in weakly electric fish, Biosystems, vol.71, issue.1-2, pp.171-179, 2003. ,
DOI : 10.1016/S0303-2647(03)00124-2
Contrôle en chimie quantique : conception et analyse de schémas d'optimisation " . Thèse de doctorat dirigée par Maday, VIII?155 f.) URL: http://www.theses.fr, 2005. ,
Convergence of the time-discretized monotonic schemes " . ESAIM -Mathematical Modeling and Numerical Analysis 41, pp.77-93, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00365013
Über die Wechselwirkung von Kugeln, die sich in einer zähen Flüssigkeit bewegen, Bull. Int. Acad. Sci. Cracovie, Cl. Sci. Math. Nat., Sér. A Sci. Math, pp.28-39, 1911. ,
Active Electrolocation for Underwater Target Localization, The International Journal of Robotics Research, vol.27, issue.5, pp.529-548, 2008. ,
DOI : 10.1177/0278364908090538
Analyse de méthodes numeriques de simulation et contrôle en chimie quantique, Thèse de doctorat dirigée par Maday, 2000066463. ,
Lumière singulière " . La Recherche hors-série n o 14, pp.52-57, 2015. ,
Wavefunction controllability for finite-dimensional bilinear quantum systems, Journal of Physics A: Mathematical and General, vol.36, issue.10, pp.2565-25760305, 2003. ,
DOI : 10.1088/0305-4470/36/10/316
Dirichlet and neumann exterior problems for the n-dimensional laplace operator an approach in weighted sobolev spaces, Journal de Math??matiques Pures et Appliqu??es, vol.76, issue.1, pp.55-81, 1997. ,
DOI : 10.1016/S0021-7824(97)89945-X
Theory of reproducing kernels, Transactions of the American Mathematical Society, vol.68, issue.3, pp.337-404, 1950. ,
DOI : 10.1090/S0002-9947-1950-0051437-7
Optimisation : méthodes numériques, 1976. ,
The rate of convergence in the method of alternating projections, St. Petersburg Mathematical Journal, vol.23, issue.3, pp.413-434, 2012. ,
DOI : 10.1090/S1061-0022-2012-01202-1
Boundary decomposition for Helmholtz and Maxwell equations 1 : disjoint sub-scatterers " . Asymptotic Anal, pp.1-10, 2004. ,
On projection algorithms for solving convex feasibility problems " . SIAM Rev, pp.367-426, 1996. ,
Characterizing arbitrarily slow convergence in the method of alternating projections, International Transactions in Operational Research, vol.1, issue.4, pp.413-425, 2009. ,
DOI : 10.1111/j.1475-3995.2008.00682.x
Accelerating the convergence of the method of alternating projections, Transactions of the American Mathematical Society, vol.355, issue.09, pp.3433-3461, 2003. ,
DOI : 10.1090/S0002-9947-03-03136-2
On the spectra of sums of orthogonal projections with applications to parallel computing " . BIT 31, pp.76-88, 1991. ,
Model for a Sensor Inspired by Electric Fish, IEEE Transactions on Robotics, vol.28, issue.2, pp.492-505, 2012. ,
DOI : 10.1109/TRO.2011.2175764
URL : https://hal.archives-ouvertes.fr/hal-00614081
Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: Mathematical justification of the Foldy???Lax model, Wave Motion, vol.50, issue.1, pp.18-28, 2013. ,
DOI : 10.1016/j.wavemoti.2012.06.001
URL : https://hal.archives-ouvertes.fr/hal-00849557
Electrophoresis in a dilute dispersion of colloidal spheres, AIChE Journal, vol.34, issue.7 ,
DOI : 10.1002/aic.690340704
Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari, La Ricerca Scientifica, vol.169, pp.326-333, 1938. ,
Mathematical analysis and numerical methods for science and technology, 1990. ,
Rate of convergence of the method of alternating projections " . Parametric Optimization and Approximation International series of numerical mathematics, Ed. by B. BROSOWSKI and F. DEUTSCH, vol.72, pp.96-107, 1985. ,
The method of alternating orthogonal projections Approximation theory, spline functions and applications, NATO ASI Series, pp.105-121, 1992. ,
Slow convergence of sequences of linear operators II: Arbitrarily slow convergence, Journal of Approximation Theory, vol.162, issue.9, pp.1717-1738, 2010. ,
DOI : 10.1016/j.jat.2010.05.002
The Rate of Convergence for the Method of Alternating Projections, II, Journal of Mathematical Analysis and Applications, vol.205, issue.2, pp.381-405, 1997. ,
DOI : 10.1006/jmaa.1997.5202
An introduction to dynamics of colloids Studies in interface science, 1996. ,
??tude sur les vari??t??s et les op??rateurs de Julia, avec quelques applications, Bulletin de la Société mathématique de France, vol.2, pp.11-101, 1949. ,
DOI : 10.24033/bsmf.1403
Partial differential equations. Graduate studies in mathematics, Providence (R.I, 1998. ,
The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers, Physical Review, vol.67, issue.3-4, pp.3-4, 1945. ,
DOI : 10.1103/PhysRev.67.107
On certain inequalities and characteristic value problems for analytic functions and for functions of two variables, Transactions of the American Mathematical Society, vol.41, issue.3, pp.321-364, 1937. ,
DOI : 10.1090/S0002-9947-1937-1501907-0
Schwarz methods over the course of time, Electron. Trans. Numer. Anal, vol.31, pp.228-255, 2008. ,
The product of projection operators, Acta Sci. Math. (Szeged), vol.231, issue.2, pp.96-99, 1962. ,
Low Reynolds number hydrodynamics with special applications to particulate media Mechanics of fluids and transport processes. Martinus Nijhoff publishers, pp.10-1007, 1983. ,
New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.3-4, 2012. ,
DOI : 10.1515/jnum-2012-0013
Many-body effects and matrix inversion in low-Reynoldsnumber hydrodynamics, Phys. Fluids, vol.131, pp.350-353, 2001. ,
Hydrodynamic interaction of two permeable spheres I: The method of reflections, Physica A: Statistical Mechanics and its Applications, vol.92, issue.3-4, pp.545-556, 1978. ,
DOI : 10.1016/0378-4371(78)90150-4
Error bounds for the method of alternating projections, Mathematics of Control, Signals, and Systems, vol.25, issue.1, pp.43-59, 1988. ,
DOI : 10.1007/BF02551235
Microhydrodynamics : principles and selected applications, 1991. ,
The slow motion of two or more spheres through a viscous fluid, Journal of Fluid Mechanics, vol.43, issue.02, pp.193-208, 1959. ,
DOI : 10.1088/0508-3443/5/S3/303
Multiple Scattering of Waves, Reviews of Modern Physics, vol.23, issue.4, pp.287-310, 1951. ,
DOI : 10.1103/RevModPhys.23.287
Multiple Scattering of Waves. II. The Effective Field in Dense Systems, Physical Review, vol.85, issue.4, pp.621-629, 1952. ,
DOI : 10.1103/PhysRev.85.621
On the Schwarz alternating method. I " . First international symposium on domain decomposition methods for partial differential equations, pp.1-42, 1988. ,
Convergence of a Multiple Reflection Method for Calculating Stokes Flow in a Suspension, SIAM Journal on Applied Mathematics, vol.49, issue.6, pp.1635-1651, 1989. ,
DOI : 10.1137/0149099
Energetics of synchronized states in three-dimensional beating flagella, Physical Review E, vol.84, issue.6, 2011. ,
DOI : 10.1103/PhysRevE.84.061905
On Rings of Operators. Reduction Theory, The Annals of Mathematics, vol.50, issue.2, pp.401-485, 1949. ,
DOI : 10.2307/1969463
Practical and mathematical aspects of the problem of reconstructing objects from radiographs, Bulletin of the American Mathematical Society, vol.83, issue.6, pp.1227-1270, 1977. ,
DOI : 10.1090/S0002-9904-1977-14406-6
Über die Wechselwirkung von Kugeln, die sich in einer zähen Flüssigkeit bewegen, Bull. Int. Acad. Sci. Cracovie, Cl. Sci. Math. Nat., Sér. A Sci. Math, pp.28-39, 1911. ,
Convergence of a reflection method for diffusion-controlled reactions on static sinks, Physica A: Statistical Mechanics and its Applications, vol.362, issue.2, pp.240-248, 2006. ,
DOI : 10.1016/j.physa.2005.03.061
On decomposition method for acoustic wave scattering by multiple obstacles, Acta Mathematica Scientia, vol.33, issue.1, pp.1-22, 2013. ,
DOI : 10.1016/S0252-9602(12)60191-X
Stokes flow past three spheres, Journal of Computational Physics, vol.245, pp.302-316, 2013. ,
DOI : 10.1016/j.jcp.2013.03.020
Iterative Methods by Space Decomposition and Subspace Correction, SIAM Review, vol.34, issue.4, pp.581-613, 1992. ,
DOI : 10.1137/1034116
The method of subspace corrections, J. Comput. Appl. Math, vol.128, issue.00, pp.1-2, 2001. ,
The method of alternating projections and the method of subspace corrections in Hilbert space, J. Amer. Math. Soc, vol.153, pp.573-597, 2002. ,
The Numerical Solution of Integral Equations of the Second Kind. Cambridge Books Online, 1997. ,
An 'empirical interpolation' method : application to efficient reduced-basis discretization of partial differential equations, Comptes Rendus Mathematique, vol.3399, pp.667-672, 2004. ,
Méthodes de réduction de modèles appliquées à des problèmes d'aéroacoustique résolus par équations intégrales, Thèse de doctorat dirigée par Ern, Alexandre Mathématiques Paris Est 2013, 20131076. ,
Parameter multi-domain ???hp??? empirical interpolation, International Journal for Numerical Methods in Engineering, vol.348, issue.9-10, pp.412-428, 2012. ,
DOI : 10.1002/nme.3327
URL : https://hal.archives-ouvertes.fr/hal-01090915
Reduced Basis Methods for Parametrized PDEs ? A Tutorial Introduction for Stationary and Instationary Problems. Tech. rep. ChapterModel Reduction and Approximation for Complex Systems, 2014. ,
Is 2D impedance tomography a reliable technique for two-phase flow?, Nuclear Engineering and Design, vol.184, issue.2-3, pp.2-3, 1998. ,
DOI : 10.1016/S0029-5493(98)00201-5
A generalized empirical interpolation method : application of reduced basis techniques to data assimilation Analysis and Numerics of Partial Differential Equations, pp.221-235, 2013. ,
Reliable real-time solution of parametrized partial differential equations : Reduced-basis output bound methods, Journal of Fluids Engineering-Transactions of The ASME, vol.1241, pp.70-80, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00798326
A posteriori error bounds for reduced-basis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations, Proceedings of the 16th AIAA computational fluid dynamics conference, pp.23-26, 2003. ,
103 4.5.2 Continuations par déformation du champ, p.104 ,
Numerical Continuation Methods : An Introduction, p.9783642612572, 2012. ,
Calcul différentiel. Maîtrise de mathématiques pures, 1983. ,
Magnus and Fer expansions for matrix differential equations: the convergence problem, Journal of Physics A: Mathematical and General, vol.31, issue.1, p.259, 1998. ,
DOI : 10.1088/0305-4470/31/1/023
Handbook of Numerical Analysis, Computational Chemistry : Reviews of Current Trends, vol.10, p.9780444512482, 1990. ,
Discrete-valued-pulse optimal control algorithms: Application to spin systems, Physical Review A, vol.92, issue.4, p.1186082, 2015. ,
DOI : 10.1103/PhysRevA.92.043417
URL : https://hal.archives-ouvertes.fr/hal-01186082
Control through operators for quantum chemistry " . Decision and Control (CDC), 2012 IEEE 51st Annual Conference on. 2012, pp.1663-1667 ,
URL : https://hal.archives-ouvertes.fr/hal-00678040
Monotonic time-discretized schemes in quantum control, Numerische Mathematik, vol.103, issue.2, pp.323-338, 2006. ,
DOI : 10.1007/s00211-006-0678-x
URL : https://hal.archives-ouvertes.fr/hal-00112592
New formulations of monotonically convergent quantum control algorithms, The Journal of Chemical Physics, vol.118, issue.18, pp.8191-8196, 2003. ,
DOI : 10.1063/1.1564043
URL : https://hal.archives-ouvertes.fr/hal-00798478
The Elimination Matrix : Some Lemmas and Applications, SIAM Journal on Algebraic Discrete Methods, vol.1, issue.4, pp.422-449, 1980. ,
Matrix Differential Calculus with Applications in Statistics and Econometrics. Wiley Series in Probability and Statistics : Texts and References Section, p.9780471986331, 1999. ,
Newton algorithm for Hamiltonian characterization in quantum control Journal of Physics A : Mathematical and Theoretical 47, 2014. ,
A globalized Newton method for the accurate solution of a dipole quantum control problem, SIAM JOURNAL ON SCIENTIFIC COMPUTING, vol.316, pp.4176-4203, 2009. ,