equation-free

Barkley, Kevrekidis, and Stuart. 2006. “The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments”. Siam Journal on Applied Dynamical Systems 5 (3): 403-34.

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Zou, Yu, and Ioannis Kevrekidis. 2008. “UNCERTAINTY QUANTIFICATION FOR ATOMISTIC REACTION MODELS: AN EQUATION-FREE STOCHASTIC SIMULATION ALGORITHM EXAMPLE”. Multiscale Modeling & Simulation 6 (4): 1217-33.

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Kolpas, Allison, Jeff Moehlis, and Ioannis Kevrekidis. (2007) 2007. “Coarse-Grained Analysis of Stochasticity-Induced Switching Between Collective Motion States”. Proceedings of the National Academy of Sciences of the United States of America 104 (14): 5931-35.

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Xiu, and Kevrekidis. 2005. “Equation-Free, Multiscale Computation for Unsteady Random Diffusion”. Multiscale Modeling & Simulation 4 (3): 915-35.

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Moon, Sung Joon, Sundaresan, and Kevrekidis. (2007) 2007. “Coarse-Grained Computations of Demixing in Dense Gas-Fluidized Beds”. Physical Review E 75 (5): 051309.

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Zou, Kevrekidis, and Armbruster. (2006) 2006. “Multiscale Analysis of Re-Entrant Production Lines: An Equation-Free Approach”. Physica a-Statistical Mechanics and Its Applications 363 (1): 1-13.

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Liu, Ping, Giovanni Samaey, William Gear, and Ioannis Kevrekidis. (2015) 2015. “On the Acceleration of Spatially Distributed Agent-Based Computations: A Patch Dynamics Scheme”. Applied Numerical Mathematics 92: 54-69.

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Chen, L., P.G. Debenedetti, C. W. Gear, and I. G. Kevrekidis. (2004) 2004. “From Molecular Dynamics to Coarse Self-Similar Solutions: A Simple Example Using Equation-Free Computation”. Journal of Non-Newtonian Fluid Mechanics 120 (1-3): 215-23.

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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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Bindal, Ierapetritou, Balakrishnan, Armaou, Makeev, and Kevrekidis. (2006) 2006. “Equation-Free, Coarse-Grained Computational Optimization Using Timesteppers”. Chemical Engineering Science 61 (2): 779-93.

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Papavasiliou, Anastasia, and Ioannis Kevrekidis. 2007. “Variance Reduction for the Equation-Free Simulation of Multiscale Stochastic Systems”. Multiscale Modeling & Simulation 6 (1): 70-89.

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Makeev, Alexei, and Ioannis Kevrekidis. (2009) 2009. “Coarse-Graining the Computations of Surface Reactions: Nonlinear Dynamics from Atomistic Simulators”. Surface Science 603 (10-12): 1696-1705.

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Li, J., P. G. Kevrekidis, C. W. Gear, and I. G. Kevrekidis. 2003. “Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme”. Multiscale Modeling & Simulation 1 (3): 391-407.

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Moon, Sung Joon, and Ioannis Kevrekidis. (2006) 2006. “An Equation-Free Approach to Coupled Oscillator Dynamics: The Kuramoto Model Example”. International Journal of Bifurcation and Chaos 16 (7): 2043-52.

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Gear, Kaper, Kevrekidis, and Zagaris. 2005. “Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes”. Siam Journal on Applied Dynamical Systems 4 (3): 711-32.

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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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Tsoumanis, Andreas, Karthikeyan Rajendran, Constantinos Siettos, Ioannis Kevrekidis, and Simos. 2011. “Coarse-Graining the Dynamics of Network Evolution: The Rise and Fall of a Networked Society”. In Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Math. Vol. 1389. Melville: Amer Inst Physics.

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Siettos, Rico-Martinez, and Kevrekidis. (2006) 2006. “A Systems-Based Approach to Multiscale Computation: Equation-Free Detection of Coarse-Grained Bifurcations”. Computers & Chemical Engineering 30 (10-12): 1632-42.

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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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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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Armaou, and Kevrekidis. (2005) 2005. “Equation-Free Optimal Switching Policies for Bistable Reacting Systems”. International Journal of Robust and Nonlinear Control 15 (15): 713-26.

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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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