5 citations · 6 across the 4 of their papers we have counts for
4 papers
Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves
J. Divahar, A. J. Roberts, Trent W. Mattner +2
Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requ…
Staggered grids for multidimensional multiscale modelling
J. Divahar, A. J. Roberts, Trent W. Mattner +2
Numerical schemes for wave-like systems with small dissipation are often inaccurate and unstable due to truncation errors and numerical roundoff errors. Hence, numerical simulation…
Large-scale simulation of shallow water waves with computation only on small staggered patches
J. E. Bunder, J. Divahar, Ioannis G. Kevrekidis +2
The multiscale patch scheme is built from given small micro-scale simulations of complicated physical processes to empower large macro-scale simulations. By coupling small patches…
Lyapunov exponents of the Kuramoto-Sivashinsky PDE
Russell A. Edson, J. E. Bunder, Trent W. Mattner +1
The Kuramoto-Sivashinsky equation is a prototypical chaotic nonlinear partial differential equation (PDE) in which the size of the spatial domain plays the role of a bifurcation pa…