25 citations · 68 across the 14 of their papers we have counts for
4 papers · 1 filter
Backwards theory supports modelling via invariant manifolds for non-autonomous dynamical systems
A. J. Roberts
This article establishes the foundation for a new theory of invariant/integral manifolds for non-autonomous dynamical systems. Current rigorous support for dimensional reduction mo…
Modelling suspended sediment in environmental turbulent fluids
Meng Cao, A. J. Roberts
Modelling sediment transport in environmental turbulent fluids is a challenge. This article develops a sound model of the lateral transport of suspended sediment in environmental f…
Multiscale modelling couples patches of nonlinear wave-like simulations
Meng Cao, A. J. Roberts
The multiscale gap-tooth scheme is built from given microscale simulations of complicated physical processes to empower macroscale simulations. By coupling small patches of simulat…
Computer algebra compares the stochastic superslow manifold of an averaged SPDE with that of the original slow-fast SPDE
A. J. Roberts
The computer algebra routines documented here empower you to reproduce and check many of the details described by an article on large deviations for slow-fast stochastic systems [a…