61 citations · 202 across the 47 of their papers we have counts for
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math.AP2022★ 1 cited
Embed to rigorously and accurately homogenise quasi-periodic multi-scale heterogeneous PDEs, with computer algebra
A. J. Roberts
For microscale heterogeneous PDEs, this article further develops novel theory and methodology for their macroscale mathematical/asymptotic homogenization. This article specifically…
math.DS2022★ 1 cited
Learning high-order spatial discretisations of PDEs with symmetry-preserving iterative algorithms
J. E. Bunder, A. J. Roberts
Common techniques for the spatial discretisation of PDEs on a macroscale grid include finite difference, finite elements and finite volume methods. Such methods typically impose as…