A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings, A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.139, issue.3, pp.153-176, 2006.
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A. Ammar, D. Ryckelynck, F. Chinesta, and R. Keunings, On the reduction of kinetic theory models related to finitely extensible dumbbells, Journal of Non-Newtonian Fluid Mechanics, vol.134, issue.1-3, pp.136-147, 2006.
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A. Ammar, B. Mokdad, F. Chinesta, and R. Keunings, A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.139, issue.3, pp.98-121, 2007.
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A. Ammar, F. Chinesta, and P. Joyot, The Nanometric and Micrometric Scales of the Structure and Mechanics of Materials Revisited: An Introduction to the Challenges of Fully Deterministic Numerical Descriptions, International Journal for Multiscale Computational Engineering, vol.6, issue.3, pp.191-213, 2008.
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A. Ammar, E. Pruliere, F. Chinesta, and M. Laso, Reduced numerical modeling of flows involving liquid-crystalline polymers, Journal of Non-Newtonian Fluid Mechanics, vol.160, issue.2-3, pp.140-156, 2009.
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A. Ammar, F. Chinesta, and A. Falco, On the Convergence of a Greedy Rank-One Update Algorithm for??a??Class of Linear Systems, Archives of Computational Methods in Engineering, vol.21, issue.4, pp.473-486, 2010.
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A. Ammar, F. Chinesta, P. Diez, and A. Huerta, An error estimator for separated representations of highly multidimensional models, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.25-28, 1872.
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A. Ammar, M. Normandin, and F. Chinesta, Solving parametric complex fluids models in rheometric flows, Journal of Non-Newtonian Fluid Mechanics, vol.165, issue.23-24, pp.1588-1601, 2010.
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A. Ammar, E. Cueto, and F. Chinesta, Reduction of the chemical master equation for gene regulatory networks using proper generalized decompositions, International Journal for Numerical Methods in Biomedical Engineering, vol.205, issue.5, pp.960-973, 2012.
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A. Ammar, E. Cueto, and F. Chinesta, Non-incremental PGD solution of parametric uncoupled models defined in evolving domains, International Journal for Numerical Methods in Engineering

N. Bellomo, Modeling complex living systems, Birkhauser, 2008.

R. A. Bialecki, A. J. Kassab, and A. Fic, Proper orthogonal decomposition and modal analysis for acceleration of transient FEM thermal analysis, International Journal for Numerical Methods in Engineering, vol.33, issue.6, pp.774-797, 2005.
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B. Bognet, A. Leygue, F. Chinesta, A. Poitou, and F. Bordeu, Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.1-12, 2012.
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F. Bordeu, A. Leygue, D. Modesto, D. Gonzalez, E. Cueto et al., Real-time simulation techniques for augmented learning in science and engineering higher education. A PGD approach. Archives of Computational Methods in Engineering

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F. Chinesta, A. Ammar, and E. Cueto, Proper generalized decomposition of multiscale models, International Journal for Numerical Methods in Engineering, vol.197, issue.5, pp.8-9, 2010.
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F. Chinesta, A. Ammar, and E. Cueto, Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models, Archives of Computational Methods in Engineering, vol.190, issue.1, pp.327-350, 2010.
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F. Chinesta, A. Ammar, A. Leygue, and R. Keunings, An overview of the proper generalized decomposition with applications in computational rheology, Journal of Non-Newtonian Fluid Mechanics, vol.166, issue.11, pp.578-592, 2011.
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F. Chinesta, P. Ladeveze, and E. Cueto, A Short Review on Model Order Reduction Based on Proper Generalized Decomposition, Archives of Computational Methods in Engineering, vol.69, issue.9, pp.395-404, 2011.
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H. Lamari, A. Ammar, A. Leygue, and F. Chinesta, On the solution of the multidimensional Langer's equation using the proper generalized decomposition method for modeling phase transitions, Modelling and Simulation in Materials Science and Engineering, vol.20, issue.1, p.15007, 2012.
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S. Niroomandi, I. Alfaro, E. Cueto, and F. Chinesta, Accounting for large deformations in real-time simulations of soft tissues based on reduced-order models, Computer Methods and Programs in Biomedicine, vol.105, issue.1, pp.1-12, 2012.
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S. Niroomandi, I. Alfaro, D. Gonzalez, E. Cueto, and F. Chinesta, Real time simulation of surgery by reduced order modelling and X-FEM techniques, International Journal for Numerical Methods in Biomedical Engineering, vol.285, pp.574-588, 2012.
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A. Nouy, Proper Generalized Decompositions and separated representations for the numerical solution of high dimensional stochastic problems. Archives of Computational Methods in Engineering -State of the Art Reviews, pp.403-434, 2010.
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E. Pruliere, J. Ferec, F. Chinesta, and A. Ammar, An efficient reduced simulation of residual stresses in composite forming processes, International Journal of Material Forming, vol.15, issue.S2, pp.1339-1350, 2010.
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E. Pruliere, F. Chinesta, and A. Ammar, On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition, Mathematics and Computers in Simulation, vol.81, issue.4, pp.791-810, 2010.
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D. Ryckelynck, F. Chinesta, E. Cueto, and A. Ammar, On thea priori model reduction: Overview and recent developments, Archives of Computational Methods in Engineering, vol.43, issue.5, pp.91-128, 2006.
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F. Schmidt, N. Pirc, M. Mongeau, and F. Chinesta, Efficient mould cooling optimization by using model reduction, International Journal of Material Forming, issue.1, pp.71-82, 2011.
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