models

Van Leemput, Samaey, Lust, Roose, Kevrekidis, DiBucchianico, Mattheij, and Peletier. 2006. Coarse-Grained Simulation and Bifurcation Analysis Using Microscopic Time-Steppers. Vol. 8. Berlin: Springer-Verlag Berlin.

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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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Shvartsman, and Kevrekidis. (1998) 1998. “Low-Dimensional Approximation and Control of Periodic Solutions in Spatially Extended Systems”. Physical Review EPhysical Review E 58 (1): 361-68.

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Rico-Martinez, RA ADOMAITIS, and Kevrekidis. (2000) 2000. “Noninvertibility in Neural Networks”. Computers & Chemical EngineeringComputers & Chemical Engineering 24 (11): 2417-33.

Reference Link
Ansumali, Chikatamarla, Frouzakis, Karlin, Kevrekidis, Gorban, Kazantzis, Kevrekidis, Ottinger, and Theodoropoulos. 2006. Lattice Boltzmann Method and Kinetic Theory. Berlin: Springer-Verlag Berlin.

Reference Link
Theodoropoulos, Qian, and Kevrekidis. (2000) 2000. “‘Coarse’ Stability and Bifurcation Analysis Using Time-Steppers: A Reaction-Diffusion Example”. Proceedings of the National Academy of Sciences of the United States of AmericaProceedings of the National Academy of Sciences of the United States of America 97 (18): 9840-43.

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Frouzakis, Gardini, Kevrekidis, Millerioux, and Mira. (1997) 1997. “On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps”. International Journal of Bifurcation and ChaosInternational Journal of Bifurcation and Chaos 7 (6): 1167-94.

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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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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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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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Gounaris, Chrysanthos, Karthikeyan Rajendran, Ioannis Kevrekidis, and Christodoulos Floudas. (2011) 2011. “Generation of Networks With Prescribed Degree-Dependent Clustering”. Optimization Letters 5 (3): 435-51.

Reference Link
Armaou, A., I. G. Kevrekidis, and C. Theodoropoulos. 2004. “The Gaptooth Scheme, Patch Dynamics and Equation-Free Controller Design for Distributed Complex Multiscale Processes”. In Proceedings of the 2004 American Control Conference, Vols 1-6, 926-32. New York: Ieee.

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