systems

TAYLOR, MA, PAVLOU, and Kevrekidis. (1994) 1994. “MICROBIAL PREDATION IN COUPLED CHEMOSTATS - A GLOBAL STUDY OF 2 COUPLED NONLINEAR OSCILLATORS”. Mathematical BiosciencesMathematical Biosciences 122 (1): 25-66.

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Gear, Kevrekidis, and Theodoropoulos. (2002) 2002. “’Coarse’ Integration Bifurcation Analysis via Microscopic Simulators: Micro-Galerkin Methods”. Computers & Chemical EngineeringComputers & Chemical Engineering 26 (7-8): 941-63.

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FOIAS, Jolly, Kevrekidis, and ES TITI. (1994) 1994. “ON SOME DISSIPATIVE FULLY DISCRETE NONLINEAR GALERKIN SCHEMES FOR THE KURAMOTO-SIVASHINSKY EQUATION”. Physics Letters APhysics Letters A 186 (1-2): 87-96.

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Barkley, Karniadakis, Kevrekidis, ZH SHEN, and Smits. (1991) 1991. “CHAOTIC ADVECTION IN A COMPLEX ANNULAR GEOMETRY”. Physics of Fluids a-Fluid DynamicsPhysics of Fluids a-Fluid Dynamics 3 (5): 1063-67.

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Papathanasiou, Wolff, Kevrekidis, HH ROTERMUND, and ERTL. (2002) 2002. “Some Twists and Turns in the Path of Improving Surface Activity”. Chemical Physics LettersChemical Physics Letters 358 (5-6): 407-12.

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Wolff, Papathanasiou, Kevrekidis, HH ROTERMUND, and ERTL. (2001) 2001. “Spatiotemporal Addressing of Surface Activity”. ScienceScience 294 (5540): 134-37.

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Johnson, Jolly, and Kevrekidis. (2001) 2001. “The Oseberg Transition: Visualization of Global Bifurcations for the Kuramoto-Sivashinsky Equation”. International Journal of Bifurcation and ChaosInternational Journal of Bifurcation and Chaos 11 (1): 1-18.

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Al-Mohssen, Husain, Nicolas Hadjiconstantinou, and Ioannis Kevrekidis. 2006. Acceleration Methods for Coarse-Grained Numerical Solution of the Boltzmann Equation. New York: Amer Soc Mechanical Engineers.

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TAYLOR, MA, and Kevrekidis. (1993) 1993. “COUPLE, DOUBLE, TOIL AND TROUBLE - A COMPUTER-ASSISTED STUDY OF 2 COUPLED CSTRS”. Chemical Engineering ScienceChemical Engineering Science 48 (11): 2129-49.

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Chen, Kevrekidis, and Kevrekidis. (2006) 2006. “Equation-Free Dynamic Renormalization in a Glassy Compaction Model”. Physical Review EPhysical Review E 74 (1): 016702.

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DEBOER, RJ, AS PERELSON, and Kevrekidis. 1993. “IMMUNE NETWORK BEHAVIOR .2. FROM OSCILLATIONS TO CHAOS AND STATIONARY STATES”. Bulletin of Mathematical BiologyBulletin of Mathematical Biology 55 (4): 781-816.

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Erban, Kevrekidis, Adalsteinsson, and Elston. (2006) 2006. “Gene Regulatory Networks: A Coarse-Grained, Equation-Free Approach to Multiscale Computation”. Journal of Chemical Physics 124 (8): 084106.

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Tsoumanis, Andreas, Karthikeyan Rajendran, Constantinos Siettos, and Ioannis Kevrekidis. (2012) 2012. “Coarse-Graining the Dynamics of Network Evolution: The Rise and Fall of a Networked Society”. New Journal of Physics 14: 083037.

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Rajendran, Karthikeyan, and Ioannis Kevrekidis. (2011) 2011. “Coarse Graining the Dynamics of Heterogeneous Oscillators in Networks With Spectral Gaps”. Physical Review E 84 (3): 036708.

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Marschler, Christian, Jens Starke, Ping Liu, and Ioannis Kevrekidis. (2014) 2014. “Coarse-Grained Particle Model for Pedestrian Flow Using Diffusion Maps”. Physical Review E 89 (1): 013304.

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Gross, and Kevrekidis. (2008) 2008. “Robust Oscillations in SIS Epidemics on Adaptive Networks: Coarse Graining by Automated Moment Closure”. Epl 82 (3): 38004.

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Siettos, Constantinos, Ioannis Kevrekidis, and Nikolaos Kazantzis. (2006) 2006. “An Equation-Free Approach to Nonlinear Control: Coarse Feedback Linearization With Pole-Placement”. International Journal of Bifurcation and Chaos 16 (7): 2029-41.

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Bar, M., A. K. Bangia, and I. G. Kevrekidis. (2003) 2003. “Bifurcation and Stability Analysis of Rotating Chemical Spirals in Circular Domains: Boundary-Induced Meandering and Stabilization”. Physical Review E 67 (5): 056126.

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Bold, Katherine, Yu Zou, Ioannis Kevrekidis, and Michael Henson. (2007) 2007. “An Equation-Free Approach to Analyzing Heterogeneous Cell Population Dynamics”. Journal of Mathematical Biology 55 (3): 331-52.

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Makeev, Alexei, Elena Kurkina, and Ioannis Kevrekidis. (2012) 2012. “Kinetic Monte Carlo Simulations of Travelling Pulses and Spiral Waves in the Lattice Lotka-Volterra Model”. Chaos 22 (2): 023141.

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Kan, Xingye, Jinqiao Duan, Ioannis Kevrekidis, and Anthony Roberts. 2013. “Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach”. Siam Journal on Applied Dynamical Systems 12 (1): 487-514.

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Tsoumanis, Siettos, Bafas, and Kevrekidis. (2010) 2010. “EQUATION-FREE MULTISCALE COMPUTATIONS IN SOCIAL NETWORKS: FROM AGENT-BASED MODELING TO COARSE-GRAINED STABILITY AND BIFURCATION ANALYSIS”. International Journal of Bifurcation and Chaos 20 (11): 3673-88.

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Samaey, Giovanni, Wim Vanroose, Dirk Roose, and Ioannis Kevrekidis. 2008. “Newton-Krylov Solvers for the Equation-Free Computation of Coarse Traveling Waves”. Computer Methods in Applied Mechanics and Engineering 197 (43-44): 3480-91.

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Siettos, Gear, and Kevrekidis. (2012) 2012. “An Equation-Free Approach to Agent-Based Computation: Bifurcation Analysis and Control of Stationary States”. Epl 99 (4): 48007.

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Benziger, Satterfield, Hogarth, Nehlsen, and Kevrekidis. (2006) 2006. “The Power Performance Curve for Engineering Analysis of Fuel Cells”. Journal of Power Sources 155 (2): 272-85.

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Williams, Matthew, Clarence Rowley, Igor Mezic, and Ioannis Kevrekidis. (2015) 2015. “Data Fusion via Intrinsic Dynamic Variables: An Application of Data-Driven Koopman Spectral Analysis”. Epl 109 (4): 40007.

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Kolpas, Allison, Jeff Moehlis, Thomas Frewen, and Ioannis Kevrekidis. (2008) 2008. “Coarse Analysis of Collective Motion With Different Communication Mechanisms”. Mathematical Biosciences 214 (1-2): 49-57.

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Raghib, Levin, and Kevrekidis. (2010) 2010. “Multiscale Analysis of Collective Motion and Decision-Making in Swarms: An Advection-Diffusion Equation With Memory Approach”. Journal of Theoretical Biology 264 (3): 893-913.

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Artstein, Zvi, Ioannis Kevrekidis, Marshall Slemrod, and Edriss Titi. (2007) 2007. “Slow Observables of Singularly Perturbed Differential Equations”. Nonlinearity 20 (11): 2463-81.

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Gear, C. W., and I. G. Kevrekidis. 2003. “Projective Methods for Stiff Differential Equations: Problems With Gaps in Their Eigenvalue Spectrum”. Siam Journal on Scientific Computing 24 (4): 1091-1106.

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Siettos, C. I., I. G. Kevrekidis, and D. Maroudas. (2004) 2004. “Coarse Bifurcation Diagrams via Microscopic Simulators: A State-Feedback Control-Based Approach”. International Journal of Bifurcation and Chaos 14 (1): 207-20.

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Armaou, A., C. I. Siettos, and I. G. Kevrekidis. 2003. “Time-Steppers and Coarse-Grained Control of Microscopic Distributed Processes”. In Proceedings of the 2003 American Control Conference, Vols 1-6, 1328-34. New York: Ieee.

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Qiao, Liang, Robert Nachbar, Ioannis Kevrekidis, and Stanislav Shvartsman. (2007) 2007. “Bistability and Oscillations in the Huang-Ferrell Model of MAPK Signaling”. Plos Computational Biology 3 (9): 1819-26.

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Chauviere, Arnaud, Haralambos Hatzikirou, Ioannis Kevrekidis, John Lowengrub, and Vittorio Cristini. (2012) 2012. “Dynamic Density Functional Theory of Solid Tumor Growth: Preliminary Models”. Aip Advances 2 (1): 011210.

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Szell, Merritt, and Kevrekidis. (2005) 2005. “Core Collapse via Coarse Dynamic Renormalization”. Physical Review Letters 95 (8): 081102.

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Erban, Kevrekidis, and Othmer. (2006) 2006. “An Equation-Free Computational Approach for Extracting Population-Level Behavior from Individual-Based Models of Biological Dispersal”. Physica D-Nonlinear Phenomena 215 (1): 1-24.

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Sinha, Manish, Ioannis Kevrekidis, and Alexander Smits. (2006) 2006. “Experimental Study of a Neimark-Sacker Bifurcation in Axially Forced Taylor-Couette Flow”. Journal of Fluid Mechanics 558: 1-32.

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Kessler, Kevrekidis, and Chen. (2006) 2006. “Equation-Free Dynamic Renormalization of a Kardar-Parisi-Zhang-Type Equation”. Physical Review E 73 (3): 036703.

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Dickson, Kelley, Ipsen, and Kevrekidis. 2007. “Condition Estimates for Pseudo-Arclength Continuation”. Siam Journal on Numerical Analysis 45 (1): 263-76.

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Vandekerckhove, Christophe, Benjamin Sonday, Alexei Makeev, Dirk Roose, and Ioannis Kevrekidis. (2011) 2011. “A Common Approach to the Computation of Coarse-Scale Steady States and to Consistent Initialization on a Slow Manifold”. Computers & Chemical Engineering 35 (10): 1949-58.

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Kevrekidis, P. G., S. K. Kumar, and I. G. Kevrekidis. (2003) 2003. “An Exploding Glass?”. Physics Letters A 318 (4-5): 364-72.

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Kuriyedath, Sreekumar, Borislava Kostova, Ioannis Kevrekidis, and Mountziaris. (2010) 2010. “Lattice Monte Carlo Simulation of Semiconductor Nanocrystal Synthesis in Microemulsion Droplets”. Langmuir 26 (13): 11355-62.

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Laing, Frewen, and Kevrekidis. (2007) 2007. “Coarse-Grained Dynamics of an Activity Bump in a Neural Field Model”. Nonlinearity 20 (9): 2127-46.

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Armaou, Kevrekidis, and Theodoropoulos. (2005) 2005. “Equation-Free Gaptooth-Based Controller Design for Distributed Complex Multiscale Processes”. Computers & Chemical Engineering 29 (4): 731-40.

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Kavousanakis, Erban, Boudouvis, Gear, and Kevrekidis. (2007) 2007. “Projective and Coarse Projective Integration for Problems With Continuous Symmetries”. Journal of Computational Physics 225 (1): 382-407.

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Kopelevich, Panagiotopoulos, and Kevrekidis. (2005) 2005. “Coarse-Grained Kinetic Computations for Rare Events: Application to Micelle Formation”. Journal of Chemical Physics 122 (4): 044908.

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Ferguson, Andrew, Athanassios Panagiotopoulos, Ioannis Kevrekidis, and Pablo Debenedetti. (2011) 2011. “Nonlinear Dimensionality Reduction in Molecular Simulation: The Diffusion Map Approach”. Chemical Physics Letters 509 (1-3): 1-11.

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Moon, Sung Joon, Nabet, Naomi Leonard, Simon Levin, and Kevrekidis. (2007) 2007. “Heterogeneous Animal Group Models and Their Group-Level Alignment Dynamics: An Equation-Free Approach”. Journal of Theoretical Biology 246 (1): 100-112.

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Zou, Yu, Michail Kavousanakis, Ioannis Kevrekidis, and Rodney Fox. (2010) 2010. “Coarse-Grained Computation for Particle Coagulation and Sintering Processes by Linking Quadrature Method of Moments With Monte-Carlo”. Journal of Computational Physics 229 (14): 5299-5314.

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Zou, Yu, Ioannis Kevrekidis, and Roger Ghanem. (2006) 2006. “Equation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D”. Industrial & Engineering Chemistry Research 45 (21): 7002-14.

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