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Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with p-refinement (2017)
Journal Article
on triangulated domains using discrete flow mapping with p-refinement. Journal of Scientific Computing, 72(3), doi:10.1007/s10915-017-0397-8. ISSN 0885-7474

We consider the approximation of the phase-space flow of a dynamical system on a triangulated surface using an approach known as Discrete Flow Mapping. Such flows are of interest throughout statistical mechanics, but the focus here is on flows arisin... Read More

Propagating wave correlations in complex systems (2016)
Journal Article
Creagh, S. C., Gradoni, G., Hartmann, T., & Tanner, G. (2016). Propagating wave correlations in complex systems. Journal of Physics A: Mathematical and Theoretical, 50(4), doi:10.1088/1751-8121/50/4/045101. ISSN 1751-8113

We describe a novel approach for computing wave correlation functions inside finite spatial domains driven by complex and statistical sources. By exploiting semiclassical approximations, we provide explicit algorithms to calculate the local mean of t... Read More