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. Reference Link
Cao, Kevrekidis, and ES TITI. 2001. “Numerical Criterion for the Stabilization of Steady States of the Navier-Stokes Equations”. Indiana University Mathematics JournalIndiana University Mathematics Journal 50: 37-96. Reference Link
Gonzalez-Garcia, Rico-Martinez, Wolf, Lubke, Eiswirth, Anderson, and Kevrekidis. (2001) 2001. “Characterization of a Two-Parameter Mixed-Mode Electrochemical Behavior Regime Using Neural Networks”. Physica DPhysica D 151 (1): 27-43. Reference Link
Kopelevich, Panagiotopoulos, and Kevrekidis. (2005) 2005. “Coarse-Grained Computations for a Micellar System”. Journal of Chemical Physics 122 (4): 044907. Reference Link
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. Reference Link
Makeev, A. G., and I. G. Kevrekidis. (2004) 2004. “Equation-Free Multiscale Computations for a Lattice-Gas Model: Coarse-Grained Bifurcation Analysis of the NO Plus CO Reaction on Pt(100)”. Chemical Engineering Science 59 (8-9): 1733-43. Reference Link
Artstein, Zvi, William Gear, Ioannis Kevrekidis, Marshall Slemrod, and Edriss Titi. 2011. “ANALYSIS AND COMPUTATION OF A DISCRETE KDV-BURGERS TYPE EQUATION WITH FAST DISPERSION AND SLOW DIFFUSION”. Siam Journal on Numerical Analysis 49 (5): 2124-43. Reference Link
Kevrekidis, I. G., C. W. Gear, and G. Hummer. (2004) 2004. “Equation-Free: The Computer-Aided Analysis of Comptex Multiscale Systems”. Aiche Journal 50 (7): 1346-55. Reference Link
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. Reference Link
Moon, Ghanem, and Kevrekidis. (2006) 2006. “Coarse Graining the Dynamics of Coupled Oscillators”. Physical Review Letters 96 (14): 144101. Reference Link
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. Reference Link
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. Reference Link
Ahuja, Sunil, Victor Yakhot, and Ioannis Kevrekidis. (2008) 2008. “Computational Coarse Graining of a Randomly Forced One-Dimensional Burgers Equation”. Physics of Fluids 20 (3): 035111. Reference Link
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. Reference Link
Sirisup, Karniadakis, Xiu, and Kevrekidis. (2005) 2005. “Equation-Free/Galerkin-Free/POD-Assisted/Computation/of/Incompressible/Flows”. Journal of Computational Physics 207 (2): 568-87. Reference Link
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. Reference Link
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. Reference Link
Kevrekidis, Ioannis, and Giovanni Samaey. 2009. “Equation-Free Multiscale Computation: Algorithms and Applications”. Annual Review of Physical Chemistry 60: 321-44. Reference Link
Kessler, Kevrekidis, and Chen. (2006) 2006. “Equation-Free Dynamic Renormalization of a Kardar-Parisi-Zhang-Type Equation”. Physical Review E 73 (3): 036703. Reference Link