1 citations · 1 across the 4 of their papers we have counts for
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Adaptively detect and accurately resolve macro-scale shocks in an efficient Equation-Free multiscale simulation
John Maclean, J. E. Bunder, I. G. Kevrekidis +1
The Equation-Free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for numerical macro-scale reduction -- the patch dyn…
Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling
J. E. Bunder, I. G. Kevrekidis, A. J. Roberts
Equation-free macroscale modelling is a systematic and rigorous computational methodology for efficiently predicting the dynamics of a microscale system at a desired macroscale sys…
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…
Macroscale boundary conditions for a non-linear heat exchanger
Chen Chen, A. J. Roberts, J. E. Bunder
Multiscale modelling methodologies build macroscale models of materials with complicated fine microscale structure. We propose a methodology to derive boundary conditions for the m…