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math.DS2005★ 2 cited
Resolve the multitude of microscale interactions to model stochastic partial differential equations
A. J. Roberts
Constructing numerical models of noisy partial differential equations is very delicate. Our long term aim is to use modern dynamical systems theory to derive discretisations of dis…
math.DS2000
A flexible error estimate for the application of centre manifold theory
Zhenquan Li, A. J. Roberts
In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem~3 by Carr (1981,1983). Here we extend…