19 citations · 38 across the 3 of their papers we have counts for
3 papers
nlin.CG2008★ 17 cited
Stability of Quantized Vortices in a Bose-Einstein Condensate Confined in an Optical Lattice
K. J. H. Law, L. Qiao, P. G. Kevrekidis +1
We investigate the existence and especially the linear stability of single and multiple-charge quantized vortex states of nonlinear Schroedinger equations in the presence of a peri…
q-bio.QM2006★ 19 cited
Spatially Distributed Stochastic Systems: equation-free and equation-assisted preconditioned computation
Liang Qiao, Radek Erban, C. T. Kelley +1
Spatially distributed problems are often approximately modelled in terms of partial differential equations (PDEs) for appropriate coarse-grained quantities (e.g. concentrations). T…
math.DS2004★ 2 cited
Newton-Krylov solvers for time-steppers
C. T. Kelley, I. G. Kevrekidis, L. Qiao
We study how the Newton-GMRES iteration can enable dynamic simulators (time-steppers) to perform fixed-point and path-following computations.For a class of dissipative problems, wh…