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Ioannis Kevrekidis
Ioannis Kevrekidis
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Title
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Cited by
Year
Physics-informed machine learning
GE Karniadakis, IG Kevrekidis, L Lu, P Perdikaris, S Wang, L Yang
Nature Reviews Physics 3 (6), 422-440, 2021
15732021
A data–driven approximation of the koopman operator: Extending dynamic mode decomposition
MO Williams, IG Kevrekidis, CW Rowley
Journal of Nonlinear Science 25, 1307-1346, 2015
13472015
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
IG Kevrekidis, CW Gear, JM Hyman, PG Kevrekidis, O Runborg, ...
Commun. Math. Sci 1 (4), 715-762, 2003
8902003
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
6302006
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
6131991
Diffusion maps, spectral clustering and eigenfunctions of Fokker-Planck operators
B Nadler, S Lafon, I Kevrekidis, R Coifman
Advances in neural information processing systems 18, 2005
5652005
Equation‐free: The computer‐aided analysis of complex multiscale systems
IG Kevrekidis, CW Gear, G Hummer
AIChE Journal 50 (7), 1346-1355, 2004
4572004
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
3581990
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
3372009
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
3261990
Equation-free multiscale computation: Algorithms and applications
IG Kevrekidis, G Samaey
Annual review of physical chemistry 60, 321-344, 2009
3162009
Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator
Q Li, F Dietrich, EM Bollt, IG Kevrekidis
Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (10), 103111, 2017
3122017
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
3112003
“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
3032000
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
2941988
A kernel-based approach to data-driven Koopman spectral analysis
MO Williams, CW Rowley, IG Kevrekidis
arXiv preprint arXiv:1411.2260, 2014
2902014
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
2842008
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
2752003
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
2532007
‘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
2512002
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