27 citations · 42 across the 9 of their papers we have counts for
4 papers · 1 filter
Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches
A. J. Roberts, Thien Tran-Duc, J. E. Bunder +1
Modern `smart' materials have complex microscale structure, often with unknown macroscale closure. The Equation-Free Patch Scheme empowers us to non-intrusively, efficiently, and a…
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…
Numerical integration of ordinary differential equations with rapidly oscillatory factors
J. E. Bunder, A. J. Roberts
We present a methodology for numerically integrating ordinary differential equations containing rapidly oscillatory terms. This challenge is distinct from that for differential equ…