59 citations · 59 across the 3 of their papers we have counts for
3 papers
cs.CE2023
Equation-Free Computations as DDDAS Protocols for Bifurcation Studies: A Granular Chain Example
M. O. Williams, Y. M. Psarellis, D. Pozharskiy +5
This chapter discusses the development and implementation of algorithms based on Equation-Free/Dynamic Data Driven Applications Systems (EF/DDDAS) protocols for the computer-assist…
math.AP2017
Revisiting Diffusion: Self-similar Solutions and the Decay in Initial and Initial-Boundary Value Problems
P. G. Kevrekidis, M. O. Williams, D. Mantzavinos +3
The diffusion equation is a universal and standard textbook model for partial differential equations (PDEs). In this work, we revisit its solutions, seeking, in particular, self-si…
nlin.PS2013★ 59 cited
Damped-Driven Granular Crystals: An Ideal Playground for Dark Breathers and Multibreathers
C. Chong, F. Li, J. Yang +4
By applying an out-of-phase actuation at the boundaries of a uniform chain of granular particles, we demonstrate experimentally that time-periodic and spatially localized structure…