Equation-free, coarse-grained multiscale computation: Enabling mocroscopic simulators to perform system-level analysis IG Kevrekidis, CW Gear, JM Hyman, PG Kevrekidid, O Runborg, ... Communications in Mathematical Sciences 1 (4), 715-762, 2003 | 826 | 2003 |

A data–driven approximation of the koopman operator: Extending dynamic mode decomposition MO Williams, IG Kevrekidis, CW Rowley Journal of Nonlinear Science 25 (6), 1307-1346, 2015 | 762 | 2015 |

Low‐dimensional models for complex geometry flows: application to grooved channels and circular cylinders AE Deane, IG Kevrekidis, GE Karniadakis, SA Orszag Physics of Fluids A: Fluid Dynamics 3 (10), 2337-2354, 1991 | 578 | 1991 |

Diffusion maps, spectral clustering and reaction coordinates of dynamical systems B Nadler, S Lafon, RR Coifman, IG Kevrekidis Applied and Computational Harmonic Analysis 21 (1), 113-127, 2006 | 558 | 2006 |

Diffusion maps, spectral clustering and eigenfunctions of Fokker-Planck operators B Nadler, S Lafon, RR Coifman, IG Kevrekidis arXiv preprint math/0506090, 2005 | 523 | 2005 |

Equation‐free: The computer‐aided analysis of complex multiscale systems IG Kevrekidis, CW Gear, G Hummer AIChE Journal 50 (7), 1346-1355, 2004 | 424 | 2004 |

Back in the saddle again: a computer assisted study of the Kuramoto–Sivashinsky equation IG Kevrekidis, B Nicolaenko, JC Scovel SIAM Journal on Applied Mathematics 50 (3), 760-790, 1990 | 347 | 1990 |

Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations MS Jolly, IG Kevrekidis, ES Titi Physica D: Nonlinear Phenomena 44 (1-2), 38-60, 1990 | 307 | 1990 |

Inherent noise can facilitate coherence in collective swarm motion CA Yates, R Erban, C Escudero, ID Couzin, J Buhl, IG Kevrekidis, ... Proceedings of the National Academy of Sciences 106 (14), 5464-5469, 2009 | 295 | 2009 |

Projective methods for stiff differential equations: problems with gaps in their eigenvalue spectrum CW Gear, IG Kevrekidis SIAM Journal on Scientific Computing 24 (4), 1091-1106, 2003 | 294 | 2003 |

“Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example C Theodoropoulos, YH Qian, IG Kevrekidis Proceedings of the National Academy of Sciences 97 (18), 9840-9843, 2000 | 289 | 2000 |

On the computation of inertial manifolds C Foias, MS Jolly, IG Kevrekidis, GR Sell, ES Titi Physics Letters A 131 (7-8), 433-436, 1988 | 282 | 1988 |

Equation-free multiscale computation: Algorithms and applications IG Kevrekidis, G Samaey Annual review of physical chemistry 60, 321-344, 2009 | 273 | 2009 |

Coarse molecular dynamics of a peptide fragment: Free energy, kinetics, and long-time dynamics computations G Hummer, IG Kevrekidis The Journal of chemical physics 118 (23), 10762-10773, 2003 | 272 | 2003 |

‘Coarse’integration/bifurcation analysis via microscopic simulators: micro-Galerkin methods CW Gear, IG Kevrekidis, C Theodoropoulos Computers & chemical engineering 26 (7-8), 941-963, 2002 | 249 | 2002 |

Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems RR Coifman, IG Kevrekidis, S Lafon, M Maggioni, B Nadler Multiscale Modeling & Simulation 7 (2), 842-864, 2008 | 239 | 2008 |

Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method K Sankaranarayanan, X Shan, IG Kevrekidis, S Sundaresan Journal of Fluid Mechanics 452, 61-96, 2002 | 233 | 2002 |

Bistability and oscillations in the Huang-Ferrell model of MAPK signaling L Qiao, RB Nachbar, IG Kevrekidis, SY Shvartsman PLoS computational biology 3 (9), e184, 2007 | 225 | 2007 |

Alternative approaches to the Karhunen-Loeve decomposition for model reduction and data analysis MD Graham, IG Kevrekidis Computers & chemical engineering 20 (5), 495-506, 1996 | 206 | 1996 |

Nonlinear model reduction for control of distributed systems: A computer‐assisted study SY Shvartsman, IG Kevrekidis AIChE Journal 44 (7), 1579-1595, 1998 | 199 | 1998 |