1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2020★ 1 cited
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…
math.DS2019
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…
math.DS2015
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…