25 citations · 68 across the 14 of their papers we have counts for
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math.AP2009★ 4 cited
Average and deviation for slow-fast stochastic partial differential equations
W. Wang, A. J. Roberts
Averaging is an important method to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. This article derives an averaged equation for a clas…
math.NA2009★ 4 cited
Holistic discretisation ensures fidelity to dynamics in two spatial dimensions
Tony MacKenzie, A. J. Roberts
Developments in dynamical systems theory provides new support for the discretisation of \pde{}s and other microscale systems. By systematically resolving subgrid microscale dynamic…
math-ph2009★ 1 cited
Slow manifold and averaging for slow-fast stochastic differential system
W. Wang, A. J. Roberts
We consider multiscale stochastic dynamical systems. In this article an \emph{intermediate} reduced model is obtained for a slow-fast system with fast mode driven by white noise. F…