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We present a new family of relativistic lattice kinetic schemes for the efficient simulation of relativistic flows in both strongly-interacting (fluid) and weakly-interacting (rarefied gas) regimes. The method can also deal with both massless and massive particles, thereby encompassing ultra-relativistic and mildly-relativistic regimes alike. The computational performance of the method for the simulation of relativistic flows across the aforementioned regimes is discussed in detail, along with prospects of future applications for Quark-Gluon Plasma, electron flows in graphene and systems in astrophysical contexts.

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