We apply a Local Discontinuous Galerkin discretisation to flow equations of the O(N)-model in the Local Potential Approximation. The improved stability is directly observed by solving the flow equation for various N and space-time dimensions d. A particular focus of this work is the numerical discretisation and its implementation. It is realised as a module within the high performance PDE framework DUNE. A preliminary version of the module is available on GitHub, but it is not submitted for publication as it is too early to be archived.
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Ihssen et al. (2024) studied this question.
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