Publication list

Publication list in pdf version (updated not so often, contains old publications).

 

For recent papers and preprints click here to go to the HAL  preprint server.

 

And a manual update list if the above fail:

[1] Julien Salomon and Gabriel Turinici. A monotonic method for nonlinear optimal control problems with concave dependence on the state. International Journal of Control, 84(3):551 - 562, 2011.
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[2] A. Lachapelle, J. Salomon, and G. Turinici. A monotonic algorithm for a mean field games model in economics. Math. Mod. Meth. Appl. Sci., 5(20), 2010.
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[3] Gabriel Turinici and Herschel Rabitz. Multi-polarization quantum control of rotational motion through dipole coupling. Journal of Physics A: Mathematical and Theoretical, 43(10):105303 (11pp), 2010.
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In this work we analyze the quantum controllability of rotational motion under the influence of an external laser field coupled through a permanent dipole moment. The analysis takes into consideration up to three polarization fields, but we also discuss the consequences for working with fewer polarized fields.
[4] Ivan I. Maximov, Julien Salomon, Gabriel Turinici, and Niels Chr. Nielsen. A smoothing monotonic convergent optimal control algorithm for nuclear magnetic resonance pulse sequence design. The Journal of Chemical Physics, 132(8):084107, 2010.
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Keywords: dynamic nuclear polarisation; magnetic resonance imaging; NMR spectroscopy; optimal control; physics computing; smoothing methods
[5] Gabriel Turinici. Comment le laser transforme les molecules. Les dossiers de La Recherche, 38:54-58, 2010.
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[6] M. Mohamed Belhadj, A. Grigoriu Lachapelle, and G. Turinici. Singular constant control trajectories and transition degeneracies in a closed 4-level quantum system. In Proceedings of the 49th IEEE Conference on Decision and Control, Sevilla, Spain, december 2010.
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[7] G. Turinici. Control-Theoretic Framework for a Quasi-Newton Local Volatility Surface Inversion. In G. Maroulis & T. E. Simos, editor, COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Advances in Computational Science: Lectures presented at the 6th International Conference on Computational Methods in Sciences and Engineering 2008 (ICCMSE 2008, Crete, Greece sept 2008). American Institute of Physics Conference Series, volume 1148 of American Institute of Physics Conference Series, pages 254-257, August 2009.
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Keywords: Partial differential equations, Finite-difference methods, Numerical optimization
[8] A. Grigoriu and G. Turinici. Projector space optimization in quantum control. ESAIM Proc, 27:171-179, 2009.
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[9] Gabriel Turinici and Marc Laillat. Cross-currency smile calibration. In Proceedings of the 28th MIC IASTED Conference, Innsbruck, Austria, Feb. 16-18, pages 130-132, 2009.
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[10] Andreea Grigoriu, Catalin Lefter, and Gabriel Turinici. Lyapounov control of Schodinger equations: beyond the dipole approximation. In Proceedings of the 28th MIC IASTED Conference, Innsbruck, Austria, Feb. 16-18, pages 119-123, 2009. retrieved August 10th 2009 from http://hal.archives-ouvertes.fr/hal-00364966/.
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[11] G. Turinici. Calibration of local volatility using the local and implied instantaneous variance. Journal of Computational Finance, 13(2):1-18, 2009.
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[12] M. Lapert, R. Tehini, G. Turinici, and D. Sugny. Monotonically convergent optimal control theory of quantum systems with spectral constraints on the control field. Physical Review A (Atomic, Molecular, and Optical Physics), 79(6):063411, 2009.
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Keywords: band-pass filters; control system analysis; molecular configurations; optimal control; pulse shaping; rotational states
[13] Jean-Michel Coron, Andreea Grigoriu, Catalin Lefter, and Gabriel Turinici. Quantum control design by lyapunov trajectory tracking for dipole and polarizability coupling. New Journal of Physics, 11(10):105034 (22pp), 2009.
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In this paper we analyze the Lyapunov trajectory tracking of the Schrodinger equation for a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term. We show numerically that the contribution of the quadratic part cannot be exploited by standard trajectory tracking tools and propose two improvements: discontinuous feedback and periodic (time-dependent) feedback. For both cases we present theoretical results and support them by numerical illustrations.
[14] G. Turinici. Robust recovery of the risk neutral probability density from option prices. Sci. Ann. “Al I Cuza” Univ. Iasi – Eco, LVI(1):197-201, 2009.
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[15] M. Belhadj, J. Salomon, and G. Turinici. A stable toolkit method in quantum control. J. Phys. A: Math. Theor., 41:362001, 2008.
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[16] M. Lapert, R. Tehini, G. Turinici, and D. Sugny. Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field. Phys. Rev A, 78(2):023408, 2008.
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[17] G. Turinici. Local volatility calibration using an adjoint proxy. Rev. Econ. Bus. Stud., 2:93-106, 2008.
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[18] Herschel Rabitz and Gabriel Turinici. Controlling quantum dynamics regardless of laser beam spatial profile and molecular orientation. Phys. Rev. A, 75(4):043409, Apr 2007.
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[19] Yukiyoshi Ohtsuki, Yoshiaki Teranishi, Peter Saalfrank, Gabriel Turinici, and Herschel Rabitz. Monotonically convergent algorithms for solving quantum optimal control problems described by an integrodifferential equation of motion. Phys. Rev. A, 75(3):033407, Mar 2007.
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[20] Gabriel Turinici. Beyond bilinear controllability: applications to quantum control. In Control of coupled partial differential equations, volume 155 of Internat. Ser. Numer. Math., pages 293-309. Birkhäuser, Basel, 2007. retrieved August 10th 2009 from http://hal.archives-ouvertes.fr/hal-00311267/.
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[21] C. Le Bris, M. Mirrahimi, H. Rabitz, and G. Turinici. Hamiltonian identification for quantum systems : well posedness and numerical approaches. ESAIM: COCV, 13(2):378-395, 2007.
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[22] G. Turinici and A. Danchin. The encyclopedia of infectious diseases (M. Thibayrenc, Editor), chapter SARS : an alarm clock. Wiley, 2007.
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[23] Tuen Wai Ng, Gabriel Turinici, W.K. Ching, S.K Chung, and Antoine Danchin. A parasite vector-host epidemic model for TSE propagation. Medical Science Monitor, 13(3):BR59-66, 2007.
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[24] Y. Maday, J. Salomon, and G. Turinici. Monotonic parareal control for quantum systems. SIAM Journal on Numerical Analysis, 45(6):2468-2482, 2007.
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[25] Xiao-Jiang. Feng, Claude Le Bris, Herschel Rabitz, and Gabriel Turinici. A closed-loop identification protocol (clip) for nonlinear dynamical systems. Journal of Physical Chemistry A, 110:7755-7762, 2006.
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[26] Yvon Maday, Salomon, and Gabriel Turinici. Monotonic time-discretized schemes in quantum control. Numerische Mathematik, 103(2):323-338, 2006.
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[27] Julien Salomon and Gabriel Turinici. On the relationship between the local tracking procedures and monotonic schemes in quantum optimal control. J. Chem. Phys., 124:074102, 2006.
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[28] J. Salomon, C.M. Dion, and G. Turinici. Optimal molecular alignment and orientation through rotational ladder climbing. J. Chem. Phys., 123(14):144310, October 2005.
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[29] Gabriel Turinici. Equivalence between local tracking procedures and monotonic algorithms in quantum control. Technical report, INRIA Rocquencourt, May 2005. RR-5564.
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[30] Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris, Frédéric Legoll, and Gabriel Turinici. Long-time averaging for integrable Hamiltonian dynamics. Numerische Matematik, 100(2):211-232, April 2005.
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[31] M. Mirrahimi, G. Turinici, and P. Rouchon. Reference trajectory tracking for locally designed coherent quantum controls. J. Phys. Chem. A, 109(11):2631-2637, 2005.
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[32] M. Mirrahimi, G. Turinici, and P. Rouchon. Lyapunov control of bilinear Schrodinger equations. Automatica, 41:1987-1994, 2005.
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[33] G. Turinici. Monotonically convergent algorithms for locally constraint quantum controls. In Proceedings of the 24th MIC IASTED Conference, Innsbruck, Austria, Feb. 16-18, pages 81-85, 2005.
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[34] J. Salomon and G. Turinici. Control of molecular orientation and alignement by monotonic schemes. In Proceedings of the 24th MIC IASTED Conference, Innsbruck, Austria, Feb. 16-18, pages 64-68, 2005.
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[35] Gabriel Turinici. Equivalence between local tracking procedures and monotonic algorithms in quantum control. In Proceedings of the 44th IEEE Conference on Decision and Control, Sevilla, Spain, december 2005.
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[36] Aurélien Alfonsi, Eric Cancès, Gabriel Turinici, Barbara Di Ventura, and Wilhelm Huisinga. Adaptive simulation of hybrid stochastic and deterministic models for biochemical systems. In CEMRACS 2004 (CIRM - Marseilles), volume 14 of ESAIM Proc., pages 1-13. Soc. Math. Appl. Indust., Paris, 2005.
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[37] Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris, Frédéric Legoll, and Gabriel Turinici. High-order averaging schemes with error bounds for thermodynamical properties calculations by molecular dynamics simulations. J.Chem.Phys., 121(21):10346, December 2004.
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[38] Gabriel Turinici and Herschel Rabitz. Optimally controlling the internal dynamics of a randomly oriented ensemble of molecules. Phys. Rev. A, 70(6):063412, Dec 2004.
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[39] Rong Wu, Herschel Rabitz, Gabriel Turinici, and Ignacio Sola. Connectivity analysis of controlled quantum systems. Phys. Rev. A, 70(5):052507, Nov 2004.
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[40] Gabriel Turinici, Claude Le Bris, and Herschel Rabitz. Efficient algorithms for the laboratory discovery of optimal quantum controls. Phys. Rev. E, 70(1):016704, Jul 2004. Virtual Journal of Ultrafast Science, issue of August 2004.
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[41] Yukiyoshi Ohtsuki, Gabriel Turinici, and Herschel Rabitz. Generalized monotonically convergent algorithms for solving quantum optimal control problems. J. Chem. Phys., 120(12):5509-5517, 2004. also published in the Virtual Journal of Ultrafast Science.
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[42] Gabriel Turinici. Simulations numériques et contrôle en chimie quantique (Numerical simulations and control in quantum chemistry). HDR, Univ. Paris VI, Dec. 2004.
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[43] A. Alfonsi, E. Cancès, G. Turinici, B. Di Ventura, and W. Huisinga. Exact simulation of hybrid stochastic and deterministic models for biochemical systems. Technical report, INRIA-Rocquencourt, dec. 2004. RR-5435.
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[44] Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris, Frédéric Legoll, and Gabriel Turinici. High-order averaging schemes with error bounds for thermodynamical properties calculations by MD simulations. Technical Report RR-4875, INRIA-Rocquencourt, July 2003.
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[45] Gabriel Turinici. Monotonically convergent algorithms for bounded quantum controls. In Proceedings of the LHMNLC03 IFAC conference, Sevilla 3-5 April, page 263, 2003.
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[46] Yvon Maday, Julien Salomon, and Gabriel Turinici. Discretely monotonically convergent algorithms in quantum control. In Proceedings of the LHMNLC03 IFAC conference, Sevilla 3-5 April, page 321, 2003.
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[47] Claude Le Bris, Yvon Maday, and Gabriel Turinici. Towards efficient numerical approaches for quantum control. In A. Bandrauk, M.C. Delfour, and C. Le Bris, editors, Quantum Control: mathematical and numerical challenges,, CRM Proc. Lect. Notes Ser., AMS Publications, Providence, R.I., pages 127-142, 2003.
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[48] G. Turinici, V. Ramakhrishna, B. Li, and H. Rabitz. Optimal discrimination of multiple quantum systems: Controllability analysis. Journal of Physics A: Mathematical and General, 37(1):273-282, 2003.
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[49] Gabriel Turinici and Herschel Rabitz. Wavefunction controllability in quantum systems. J. Phys.A., 36:2565-2576, 2003.
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[50] Yvon Maday and Gabriel Turinici. Error bars and quadratically convergent methods for the numerical simulation of the Hartree-Fock equations. Numer. Math., 94(4):739-770, 2003.
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[51] Yvon Maday and Gabriel Turinici. New formulations of monotonically convergent quantum control algorithms. J. Chem. Phys., 118(18), 2003.
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[52] Eric Cancès, Konstantin N. Kudin, Gustavo E. Scuseria, and Gabriel Turinici. Quadratically convergent algorithm for fractional occupation numbers. J. Chem. Phys., 118:5364, 2003.
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[53] Herschel Rabitz, Gabriel Turinici, and Eric Brown. Control of quantum dynamics: Concepts, procedures and future prospects. In Ph. G. Ciarlet, editor, Computational Chemistry, Special Volume (C. Le Bris Editor) of Handbook of Numerical Analysis, vol X, pages 833-887. Elsevier Science B.V., 2003.
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[54] Yvon Maday and Gabriel Turinici. Parallel in time algorithms for quantum control: the parareal time discretization scheme. Int. J. Quant. Chem., 93(3):223-228, 2003.
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[55] Tuen Wai Ng, Gabriel Turinici, and Antoine Danchin. A double epidemic model for the SARS propagation. BMC Infectious Diseases, 3:19, 2003.
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[56] Yvon Maday and Gabriel Turinici. The parareal in time iterative solver : a further direction to parallel implementation. In Proceedings of the 15th International Conference on Domain Decomposition Methods, Berlin, July 21-25, 2003.
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[57] C. Prud'homme, D.V. Rovas, K. Veroy, L. Machiels, Y. Maday, A.T. Patera, and G. Turinici. Reliable real-time solution of parametrized partial differential equations: Reduced-basis output bound methods. Journal of Fluids Engineering - Transactions of the ASME, 124(1):70-80, March 2002.
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[58] Gabriel Turinici and Yvon Maday. A parallel in time approach for quantum control: the parareal algorithm. In Proceedings of the 41th IEEE Conference on Decision and Control, Las Vegas, Nevada, USA, volume 1, pages 62-66, december 2002.
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[59] B. Li, G. Turinici, V. Ramakhrishna, and H. Rabitz. Optimal dynamic discrimination of similar molecules through quantum learning control. Journal of Physical Chemistry B, 106(33):8125-8131, 2002.
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[60] Eric Cancès, Claude Le Bris, Yvon Maday, and Gabriel Turinici. Towards reduced basis approaches in ab initio electronic structure computations. Journal of Scientific Computing, 17(1-4):461-469, 2002.
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[61] Y. Maday, A.T. Patera, and G. Turinici. A priori convergence theory for reduced-basis approximations of single-parametric elliptic partial differential equations. Journal of Scientific Computing, 17(1-4):437-446, 2002.
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[62] Yvon Maday, T. Patera, Anthony, and Gabriel Turinici. Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. C. R. Acad. Sci., Paris, Sér. I, Math., 335:289-294, 2002.
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[63] L. Baffico, S. Benard, Y. Maday, G. Turinici, and G. Zérah. Parallel in time molecular dynamics simulations. Phys. Rev. E., 66:057701, 2002.
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[64] Yvon Maday and Gabriel Turinici. A parareal in time procedure for the control of partial differential equations. C. R. Acad. Sci., Paris, Sér. I, Math., 335(4):387-392, 2002.
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[65] C. Prud'homme, D.V. Rovas, K. Veroy, L. Machiels, Y. Maday, A.T. Patera, and G. Turinici. Reduced-basis output bound methods for parametrized partial differential equations. In Proceedings SMA Symposium, January 2002.
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[66] Yvon Maday and Gabriel Turinici. Numerical analysis of the adiabatic variable method for the approximation of the nuclear hamiltonian. M2AN, 35(4):779-798, 2001.
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[67] Gabriel Turinici and Herschel Rabitz. Quantum wave function controllability. Chem. Phys., 267:1-9, 2001.
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[68] Jacques-Louis Lions, Yvon Maday, and Gabriel Turinici. A parareal in time discretization of PDEs. C. R. Acad. Sci., Paris, Sér. I, Math., 332(7):661-668, 2001.
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[69] Gabriel Turinici. Contrôlabilité exacte de la population des états propres dans les systèmes quantiques bilinéaires. (exact controllability for the population of the eigenstates in bilinear quantum systems). C. R. Acad. Sci., Paris, Sér. I, Math., 330(4):327-332, 2000.
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[70] Gabriel Turinici. On the controllability of bilinear quantum systems. In M. Defranceschi and C. Le Bris, editors, Mathematical models and methods for ab initio Quantum Chemistry, volume 74 of Lecture Notes in Chemistry, pages 75-92. Springer, 2000.
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[71] Gabriel Turinici. Controllable quantities for bilinear quantum systems. In Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, volume 2, pages 1364-1369, december 2000.
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[72] Gabriel Turinici. Analyse de méthodes numériques de simulation et contrôle en chimie quantique (Analysis of numerical simulation methods and control in quantum chemistry). PhD thesis, Univ. Paris VI, december 2000.
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[73] Yvon Maday and Gabriel Turinici. Analyse numérique de la méthode des variables adiabatiques pour l'approximation de l'hamiltonien nucléaire. (Numerical analysis of the adiabatic variable method for the approximation of the nuclear hamiltonian). C. R. Acad. Sci., Paris, Sér. I, Math., 3:397-402, 1998.
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[74] Orest Iftime and Gabriel Turinici. An approximation method for the solution of a differential system. An. Stiint. Univ. Al. I. Cuza Iasi, Ser. Noua, Mat., 41(1):153-168, 1995.
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[75] Gabriel Turinici. Hyperstructures associated to a connected graph. An. Stiint. Univ. Ovidius Constanta, Ser. Mat., 2:179-187, 1994.
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[76] A. Buffa, M. Maday, A.T. Patera, C. Prud'homme, and G. Turinici. A priori convergence of the greedy algorithm for the parametrized reduced basis. M2AN, 2010, accepted, in print.
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[77] Lucie Baudouin, Julien Salomon, and Gabriel Turinici. Analysis of the toolkit method for the time-dependant Schrödinger equation. Journal of Scientific Computing, 2011, accepted, in print.
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