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1

A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Williams, Matthew O., Kevrekidis, Ioannis G., Rowley, Clarence W.

Journal:

Journal of Nonlinear Science

Year:

2015

Language:

english

File:

PDF, 3.42 MB

english, 2015

2

On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions

Bollt, Erik M., Li, Qianxiao, Dietrich, Felix, Kevrekidis, Ioannis

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 948 KB

english, 2018

3

Matrices are forever: On applied mathematics and computing in chemical engineering

Ioannis G. Kevrekidis

Journal:

Chemical Engineering Science

Year:

1995

Language:

english

File:

PDF, 2.18 MB

english, 1995

4

Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator

Li, Qianxiao, Dietrich, Felix, Bollt, Erik M., Kevrekidis, Ioannis G.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2017

Language:

english

File:

PDF, 1.01 MB

english, 2017

5

Equation-free: The computer-aided analysis of complex multiscale systems

Ioannis G. Kevrekidis, C. William Gear, Gerhard Hummer

Journal:

Year:

2004

Language:

english

File:

PDF, 377 KB

english, 2004

6

Equation-free/Galerkin-free POD-assisted computation of incompressible flows

Sirod Sirisup, George Em Karniadakis, Dongbin Xiu, Ioannis G. Kevrekidis

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 1.55 MB

english, 2005

7

Immune network behavior—I. From stationary states to limit cycle oscillations

Rob J. De Boer, Alan S. Perelson, Ioannis G. Kevrekidis

Journal:

Bulletin of Mathematical Biology

Year:

1993

Language:

english

File:

PDF, 1.98 MB

english, 1993

8

Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model

Erban, Radek, Chapman, S. Jonathan, Kevrekidis, Ioannis G., Vejchodský, Tomáš

Journal:

SIAM Journal on Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.19 MB

english, 2009

9

Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation

Kevrekidis, Ioannis G., Nicolaenko, Basil, Scovel, James C.

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 3.23 MB

english, 1990

10

Oxygen mass transport limitations at the cathode of polymer electrolyte membrane fuel cells

Jay Benziger, Erin Kimball, Raquel Mejia-Ariza, Ioannis Kevrekidis

Journal:

Year:

2011

Language:

english

File:

PDF, 1.34 MB

english, 2011

11

Nonlinear model reduction for control of distributed systems: A computer-assisted study

Stanislav Y. Shvartsman, Ioannis G. Kevrekidis

Journal:

Year:

1998

Language:

english

File:

PDF, 1.76 MB

english, 1998

12

Predicting pattern formation in coupled reaction—diffusion systems

Ioannis G. Kevrekidis, Harry S. Brown

Journal:

Chemical Engineering Science

Year:

1989

Language:

english

File:

PDF, 899 KB

english, 1989

13

Equation-free, coarse-grained computational optimization using timesteppers

Aditya Bindal, Marianthi G. Ierapetritou, Suhrid Balakrishnan, Antonios Armaou, Alexei G. Makeev, Ioannis G. Kevrekidis

Journal:

Chemical Engineering Science

Year:

2006

Language:

english

File:

PDF, 489 KB

english, 2006

14

Immune network behavior—II. From oscillations to chaos and stationary states

Rob J. De Boer, Alan S. Perelson, Ioannis G. Kevrekidis

Journal:

Bulletin of Mathematical Biology

Year:

1993

Language:

english

File:

PDF, 2.09 MB

english, 1993

15

Mathematical Modeling, Steady-State and Dynamic Behavior, and Control of Fuel Cells: A Review†

Bavarian, Mona, Soroush, Masoud, Kevrekidis, Ioannis G., Benziger, Jay B.

Journal:

Industrial & Engineering Chemistry Research

Year:

2010

Language:

english

File:

PDF, 410 KB

english, 2010

16

Model reduction for agent-based social simulation: Coarse-graining a civil violence model

Zou, Yu, Fonoberov, Vladimir A., Fonoberova, Maria, Mezic, Igor, Kevrekidis, Ioannis G.

Journal:

Physical Review E

Year:

2012

Language:

english

File:

PDF, 2.19 MB

english, 2012

17

Oxidation of Aliphatic and Aromatic Sulfides Using Sulfuric Acid

Nehlsen, James, Benziger, Jay, Kevrekidis, Ioannis

Journal:

Industrial & Engineering Chemistry Research

Year:

2006

Language:

english

File:

PDF, 233 KB

english, 2006

18

OPTICAL IMAGING AND CONTROL OF GENETICALLY DESIGNATED NEURONS IN FUNCTIONING CIRCUITS

Miesenböck, Gero, Kevrekidis, Ioannis G.

Journal:

Annual Review of Neuroscience

Year:

2005

Language:

english

File:

PDF, 603 KB

english, 2005

19

Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum

Gear, C. W., Kevrekidis, Ioannis G.

Journal:

SIAM Journal on Scientific Computing

Year:

2003

Language:

english

File:

PDF, 196 KB

english, 2003

20

Equation-Free Multiscale Computation: Algorithms and Applications

Kevrekidis, Ioannis G., Samaey, Giovanni

Journal:

Annual Review of Physical Chemistry

Year:

2009

Language:

english

File:

PDF, 851 KB

english, 2009

21

Back in the Saddle Again: A Computer Assisted Study of the Kuramoto-Sivashinsky Equation

Ioannis G. Kevrekidis, Basil Nicolaenko and James C. Scovel

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 2.48 MB

english, 1990

22

Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra model

Makeev, Alexei G., Kurkina, Elena S., Kevrekidis, Ioannis G.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 9.02 MB

english, 2012

23

AN EQUATION-FREE APPROACH TO COUPLED OSCILLATOR DYNAMICS: THE KURAMOTO MODEL EXAMPLE

MOON, SUNG JOON, KEVREKIDIS, IOANNIS G.

Journal:

International Journal of Bifurcation and Chaos

Year:

2006

Language:

english

File:

PDF, 254 KB

english, 2006

24

Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis

Williams, Matthew O., Rowley, Clarence W., Mezić, Igor, Kevrekidis, Ioannis G.

Journal:

EPL (Europhysics Letters)

Year:

2015

Language:

english

File:

PDF, 664 KB

english, 2015

25

Delaying transition in Taylor–Couette flow with axial motion of the inner cylinder

WEISBERG, AREL Y., KEVREKIDIS, IOANNIS G., SMITS, ALEXANDER J.

Journal:

Journal of Fluid Mechanics

Year:

1997

Language:

english

File:

PDF, 521 KB

english, 1997

26

Gene regulatory networks: A coarse-grained, equation-free approach to multiscale computation

Erban, Radek, Kevrekidis, Ioannis G., Adalsteinsson, David, Elston, Timothy C.

Journal:

The Journal of Chemical Physics

Year:

2006

Language:

english

File:

PDF, 2.69 MB

english, 2006

27

Bistability and Oscillations in the Huang-Ferrell Model of MAPK Signaling

Qiao, Liang, Nachbar, Robert B., Kevrekidis, Ioannis G., Shvartsman, Stanislav Y.

Journal:

PLoS Computational Biology

Year:

2007

Language:

english

File:

PDF, 376 KB

english, 2007

28

On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps

Frouzakis, Christos E., Gardini, Laura, Kevrekidis, Ioannis G., Millerioux, Gilles, Mira, Christian

Journal:

International Journal of Bifurcation and Chaos

Year:

1997

Language:

english

File:

PDF, 4.86 MB

english, 1997

29

Sticky Patches on Lipid Nanoparticles Enable the Selective Targeting and Killing of Untargetable Cancer Cells

Sempkowski, Michelle, Zhu, Charles, Menzenski, Monica Zofia, Kevrekidis, Ioannis G., Bruchertseifer, Frank, Morgenstern, Alfred, Sofou, Stavroula

Journal:

Year:

2016

Language:

english

File:

PDF, 2.24 MB

english, 2016

30

A classification scheme for chimera states

Kemeth, Felix P., Haugland, Sindre W., Schmidt, Lennart, Kevrekidis, Ioannis G., Krischer, Katharina

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2016

Language:

english

File:

PDF, 2.71 MB

english, 2016

31

Extending Data-Driven Koopman Analysis to Actuated Systems

Williams, Matthew O., Hemati, Maziar S., Dawson, Scott T.M., Kevrekidis, Ioannis G., Rowley, Clarence W.

Journal:

IFAC-PapersOnLine

Year:

2016

Language:

english

File:

PDF, 616 KB

english, 2016

32

A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion

Lee, Seungjoon, Kevrekidis, Ioannis G., Karniadakis, George Em

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 2.30 MB

english, 2017

33

Data-Driven Model Reduction and Transfer Operator Approximation

Klus, Stefan, Nüske, Feliks, Koltai, Péter, Wu, Hao, Kevrekidis, Ioannis, Schütte, Christof, Noé, Frank

Journal:

Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 2.29 MB

english, 2018

34

Solitary Waves of the two-dimensional Camassa-Holm–nonlinear Schrödinger equation

Ward, Cory Blake, Mylonas, Ioannis, Kevrekidis, Panayotis G, Frantzeskakis, Dimitri J

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2018

Language:

english

File:

PDF, 518 KB

english, 2018

35

An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning

Kemeth, Felix P., Haugland, Sindre W., Dietrich, Felix, Bertalan, Tom, Hohlein, Kevin, Li, Qianxiao, Bollt, Erik M., Talmon, Ronen, Krischer, Katharina, Kevrekidis, Ioannis G.

Journal:

Year:

2018

Language:

english

File:

PDF, 14.78 MB

english, 2018

36

Partial Observations and Conservation Laws: Gray-Box Modeling in Biotechnology and Optogenetics

Lovelett, Robert J., Avalos, JosÃ© L., Kevrekidis, Ioannis G.

Journal:

Industrial & Engineering Chemistry Research

Year:

2020

Language:

english

File:

PDF, 1.37 MB

english, 2020

37

On the Koopman Operator of Algorithms

Dietrich, Felix, Thiem, Thomas N., Kevrekidis, Ioannis G.

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2020

File:

PDF, 2.11 MB

2020

38

Accelerating nonlinear model predictive control through machine learning

Vaupel, Yannic, Hamacher, Nils C., Caspari, Adrian, Mhamdi, Adel, Kevrekidis, Ioannis G., Mitsos, Alexander

Journal:

Journal of Process Control

Year:

2020

File:

PDF, 658 KB

2020

39

Design and Characterization of Rapid Optogenetic Circuits for Dynamic Control in Yeast Metabolic Engineering

Zhao, Evan M., Lalwani, Makoto A., Lovelett, Robert J., GarcÃa-Echauri, Sergio A., Hoffman, Shannon M., Gonzalez, Christopher L., Toettcher, Jared E., Kevrekidis, Ioannis G., Avalos, JosÃ© L.

Journal:

ACS Synthetic Biology

Year:

2020

File:

PDF, 2.56 MB

2020

40

Optimal sensor placement for state reconstruction of distributed process systems

Antonio A. Alonso, Christos E. Frouzakis, Ioannis G. Kevrekidis

Journal:

Year:

2004

Language:

english

File:

PDF, 359 KB

english, 2004

41

Water balance and multiplicity in a polymer electrolyte membrane fuel cell

Ee-Sunn J. Chia, Jay B. Benziger, Ioannis G. Kevrekidis

Journal:

Year:

2004

Language:

english

File:

PDF, 114 KB

english, 2004

42

STR-PEM fuel cell as a reactor building block

Ee-Sunn J. Chia, Jay B. Benziger, Ioannis G. Kevrekidis

Journal:

Year:

2006

Language:

english

File:

PDF, 663 KB

english, 2006

43

Quantifying deformation in gel swelling: Experiments and simulations

Evdokia C. Achilleos, Robert K. Prud'homme, Ioannis G. Kevrekidis, Kostas N. Christodoulou, Kyle R. Gee

Journal:

Year:

2000

Language:

english

File:

PDF, 1.22 MB

english, 2000

44

Couple, double, toil and trouble: A computer assisted study of two coupled CSTRs

Mark A. Taylor, Ioannis G. Kevrekidis

Journal:

Chemical Engineering Science

Year:

1993

Language:

english

File:

PDF, 1.80 MB

english, 1993

45

Alternative approaches to the Karhunen-Loève decomposition for model reduction and data analysis

Michael D. Graham, Ioannis G. Kevrekidis

Journal:

Computers & Chemical Engineering

Year:

1996

Language:

english

File:

PDF, 1002 KB

english, 1996

46

An experimental and computational study of subcriticality, hysteresis and global dynamics for a model adaptive control system

Christos E. Frouzakis, Raymond A. Adomaitis, Ioannis G. Kevrekidis

Journal:

Computers & Chemical Engineering

Year:

1996

Language:

english

File:

PDF, 470 KB

english, 1996

47

Infinite-wavelength analysis for two-phase flow: A three-parameter computer-assisted study of global bifurcations

David C. Dankworth, S. Sundaresan, Ioannis G. Kevrekidis

Journal:

Physica D: Nonlinear Phenomena

Year:

1992

Language:

english

File:

PDF, 1.73 MB

english, 1992

48

Interactions of resonances and global bifurcations in Rayleigh-Benard convection

Robert E. Ecke, Ioannis G. Kevrekidis

Journal:

Physics Letters A

Year:

1988

Language:

english

File:

PDF, 745 KB

english, 1988

49

Dynamics of concentration patterns of the NO + CO reaction on Pt: Analysis with the Karhunen-Loève decomposition

Michael D. Graham, Ioannis G. Kevrekidis, J.L. Hudson, Götz Veser, Katharina Krischer, Ronald Imbihl

Journal:

Chaos, Solitons & Fractals

Year:

1995

Language:

english

File:

PDF, 3.36 MB

english, 1995

50

Chemical Reactor Analysis and Design Fundamentals: Jim Rawlings and John Ekerdt; Nob Hill Publishing, Madison, WI, 2002. ISBN 0-615-11884-4

Ioannis G. Kevrekidis, Stanislav Y. Shvartsman

Journal:

Chemical Engineering Science

Year:

2004

Language:

english

File:

PDF, 133 KB

english, 2004

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