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Uncertainty Quantification for Atomistic Reaction Models: An Equation-Free Stochastic Simulation Algorithm Example
Yu Zou, Ioannis G. Kevrekidis
We describe a computational framework linking Uncertainty Quantification (UQ) methods for continuum problems depending on random parameters with Equation-Free (EF) methods for perf…
Equation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D
Yu Zou, Ioannis G. Kevrekidis, Roger G. Ghanem
Equation-free approaches have been proposed in recent years for the computational study of multiscale phenomena in engineering problems where evolution equations for the coarse-gra…
Multiscale analysis of re-entrant production lines: An equation-free approach
Y. Zou, I. G. Kevrekidis, D. Armbruster
The computer-assisted modeling of re-entrant production lines, and, in particular, simulation scalability, is attracting a lot of attention due to the importance of such lines in s…
Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics
Yu Zou, Ioannis Kevrekidis, Roger Ghanem
We present an equation-free dynamic renormalization approach to the computational study of coarse-grained, self-similar dynamic behavior in multidimensional particle systems. The a…