Kevrekidis. 2005. Equation-Free Modeling for Complex Systems. Washington: Natl Academies Press. Reference Link
Samaey, Roose, Kevrekidis, Gorban, Kazantzis, Kevrekidis, Ottinger, and Theodoropoulos. 2006. Finite Difference Patch Dynamics for Advection Homogenization Problems. Berlin: Springer-Verlag Berlin. Reference Link
Theodoropoulos, Gear, Sundaresan, Kevrekidis, and Bathe. 2003. Coarse Integration of Bubble Flows Using Lattice Boltzmann Simulators. Amsterdam: Elsevier Science Bv. Reference Link
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. 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
Samaey, Roose, and Kevrekidis. 2005. “The Gap-Tooth Scheme for Homogenization Problems”. Multiscale Modeling & Simulation 4 (1): 278-306. Reference Link
Moon, Ghanem, and Kevrekidis. (2006) 2006. “Coarse Graining the Dynamics of Coupled Oscillators”. Physical Review Letters 96 (14): 144101. Reference Link
Rico-Martinez, R., C. W. Gear, and I. G. Kevrekidis. (2004) 2004. “Coarse Projective KMC Integration: Forward Reverse Initial and Boundary Value Problems”. Journal of Computational Physics 196 (2): 474-89. Reference Link
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. 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
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. Reference Link
Samaey, Kevrekidis, and Roose. (2006) 2006. “Patch Dynamics With Buffers for Homogenization Problems”. Journal of Computational Physics 213 (1): 264-87. Reference Link
Siettos, C. I., A. Armaou, A. G. Makeev, and I. G. Kevrekidis. (2003) 2003. “Microscopic/Stochastic/Timesteppers/and/Coarse"/Control:/A/KMC/Example”. Aiche Journal 49 (7): 1922-26. Reference Link
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. 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
Setayeshgar, Gear, Othmer, and Kevrekidis. 2005. “Application of Coarse Integration to Bacterial Chemotaxis”. Multiscale Modeling & Simulation 4 (1): 307-27. Reference Link
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. Reference Link
Makeev, Alexei, and Ioannis Kevrekidis. (2014) 2014. “A Hybrid Stochastic-Deterministic Algorithm for Lattice-Gas Models of Catalytic Reactions and the Computation of TPD Spectra”. Computers & Chemical Engineering 60: 172-81. 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
Xiu, and Kevrekidis. 2005. “Equation-Free, Multiscale Computation for Unsteady Random Diffusion”. Multiscale Modeling & Simulation 4 (3): 915-35. Reference Link
Moller, Runborg, Kevrekidis, Lust, and Kevrekidis. (2005) 2005. “Equation-Free, Effective Computation for Discrete Systems: A Time Stepper Based Approach”. International Journal of Bifurcation and Chaos 15 (3): 975-96. 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
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. Reference Link
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. Reference Link
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. Reference Link
Kopelevich, Panagiotopoulos, and Kevrekidis. (2005) 2005. “Coarse-Grained Computations for a Micellar System”. Journal of Chemical Physics 122 (4): 044907. Reference Link
Bindal, Ierapetritou, Balakrishnan, Armaou, Makeev, and Kevrekidis. (2006) 2006. “Equation-Free, Coarse-Grained Computational Optimization Using Timesteppers”. Chemical Engineering Science 61 (2): 779-93. Reference Link
Hummer, G., and I. G. Kevrekidis. (2003) 2003. “Coarse Molecular Dynamics of a Peptide Fragment: Free Energy, Kinetics, and Long-Time Dynamics Computations”. Journal of Chemical Physics 118 (23): 10762-73. Reference Link
Xiu, Kevrekidis, and Ghanem. (2005) 2005. “An Equation-Free, Multiscale Approach to Uncertainty Quantification”. Computing in Science & Engineering 7 (3): 16-23. Reference Link
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. Reference Link
Siettos, C. I., C. C. Pantelides, and I. G. Kevrekidis. (2003) 2003. “Enabling Dynamic Process Simulators to Perform Alternative Tasks: A Time-Stepper-Based Toolkit for Computer-Aided Analysis”. Industrial & Engineering Chemistry Research 42 (26): 6795-6801. Reference Link
Qiao, Liang, Radek Erban, Kelley, and Ioannis Kevrekidis. (2006) 2006. “Spatially Distributed Stochastic Systems: Equation-Free and Equation-Assisted Preconditioned Computations”. Journal of Chemical Physics 125 (20): 204108. Reference Link
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. Reference Link