66 citations · 79 across the 3 of their papers we have counts for
3 papers
cs.LG2022★ 7 cited
Multiscale Neural Operator: Learning Fast and Grid-independent PDE Solvers
Björn Lütjens, Catherine H. Crawford, Campbell D Watson +2
Numerical simulations in climate, chemistry, or astrophysics are computationally too expensive for uncertainty quantification or parameter-exploration at high-resolution. Reduced-o…
nlin.PS2000★ 6 cited
Tunable front interaction and localization of periodically forced waves
Catherine Crawford, Hermann Riecke
In systems that exhibit a bistability between nonlinear traveling waves and the basic state, pairs of fronts connecting these two states can form localized wave pulses whose stabil…
patt-sol1998★ 66 cited
Oscillon-type Structures and Their Interaction in a Swift-Hohenberg Model
Catherine Crawford, Hermann Riecke
Motivated by the observation of localized circular excitations (`oscillons') in vertically vibrated granular layers (P.B. Umbanhowar, F. Melo and H.L. Swinney, Nature 382 (1996) 79…