A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids A Ammar, B Mokdad, F Chinesta, R Keunings Journal of non-Newtonian fluid Mechanics 139 (3), 153-176, 2006 | 753 | 2006 |

Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models F Chinesta, A Ammar, E Cueto Archives of Computational methods in Engineering 17 (4), 327-350, 2010 | 536 | 2010 |

A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids: Part II: Transient … A Ammar, B Mokdad, F Chinesta, R Keunings Journal of non-newtonian fluid mechanics 144 (2-3), 98-121, 2007 | 449 | 2007 |

PGD-Based *Computational Vademecum* for Efficient Design, Optimization and ControlF Chinesta, A Leygue, F Bordeu, JV Aguado, E Cueto, D González, ... Archives of Computational methods in Engineering 20, 31-59, 2013 | 398 | 2013 |

An overview of the proper generalized decomposition with applications in computational rheology F Chinesta, A Ammar, A Leygue, R Keunings Journal of Non-Newtonian Fluid Mechanics 166 (11), 578-592, 2011 | 333 | 2011 |

On the*a priori* model reduction: Overview and recent developmentsD Ryckelynck, F Chinesta, E Cueto, A Ammar Archives of Computational methods in Engineering 13, 91-128, 2006 | 202 | 2006 |

On the deterministic solution of multidimensional parametric models using the proper generalized decomposition E Pruliere, F Chinesta, A Ammar Mathematics and Computers in Simulation 81 (4), 791-810, 2010 | 187 | 2010 |

Recent advances on the use of separated representations D González, A Ammar, F Chinesta, E Cueto International Journal for Numerical Methods in Engineering 81 (5), 637-659, 2010 | 172 | 2010 |

An error estimator for separated representations of highly multidimensional models A Ammar, F Chinesta, P Diez, A Huerta Computer methods in applied mechanics and engineering 199 (25-28), 1872-1880, 2010 | 160 | 2010 |

Proper general decomposition (PGD) for the resolution of Navier–Stokes equations A Dumon, C Allery, A Ammar Journal of Computational Physics 230 (4), 1387-1407, 2011 | 151 | 2011 |

Proper generalized decomposition of multiscale models F Chinesta, A Ammar, E Cueto International Journal for Numerical Methods in Engineering 83 (8‐9), 1114-1132, 2010 | 125 | 2010 |

On the convergence of a greedy rank-one update algorithm for a class of linear systems A Ammar, F Chinesta, A Falco Archives of Computational Methods in Engineering 17 (4), 473-486, 2010 | 121 | 2010 |

Rheological modeling of carbon nanotube aggregate suspensions WKA Ma, F Chinesta, A Ammar, MR Mackley Journal of Rheology 52 (6), 1311-1330, 2008 | 117 | 2008 |

Parametric solutions involving geometry: a step towards efficient shape optimization A Ammar, A Huerta, F Chinesta, E Cueto, A Leygue Computer Methods in Applied Mechanics and Engineering 268, 178-193, 2014 | 110 | 2014 |

Alleviating mesh constraints: Model reduction, parallel time integration and high resolution homogenization F Chinesta, A Ammar, F Lemarchand, P Beauchene, F Boust Computer methods in applied mechanics and engineering 197 (5), 400-413, 2008 | 110 | 2008 |

A multidimensional data‐driven sparse identification technique: the sparse proper generalized decomposition R Ibáñez, E Abisset-Chavanne, A Ammar, D González, E Cueto, A Huerta, ... Complexity 2018 (1), 5608286, 2018 | 100 | 2018 |

On the reduction of kinetic theory models related to finitely extensible dumbbells A Ammar, D Ryckelynck, F Chinesta, R Keunings Journal of Non-Newtonian Fluid Mechanics 134 (1-3), 136-147, 2006 | 98 | 2006 |

Non incremental strategies based on separated representations: applications in computational rheology A Ammar, M Normandin, F Daim, D Gonzalez, E Cueto, F Chinesta | 97 | 2010 |

Proper generalized decomposition of time‐multiscale models A Ammar, F Chinesta, E Cueto, M Doblaré International Journal for Numerical Methods in Engineering 90 (5), 569-596, 2012 | 95 | 2012 |

The nanometric and micrometric scales of the structure and mechanics of materials revisited: an introduction to the challenges of fully deterministic numerical descriptions A Ammar, P Joyot International Journal for Multiscale Computational Engineering 6 (3), 2008 | 84 | 2008 |