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In this work we present a proof of concept of CUDA-capable, resistive,multi-fluid models of relativistic magnetohydrodynamics (RMHD). Resistive andmulti-fluid codes for simulating models of RMHD suffer from stiff source terms,so it is common to implement a set of semi-implicit time integrators tomaintain numerical stability. We show, for the first time, that finite volumeIMEX schemes for resistive and two-fluid models of RMHD can be accelerated byexecution on graphics processing units, significantly reducing the demand setby these kinds of problems. We report parallel speed-ups of over 21$\times$using double precision floating-point accuracy, and highlight the optimisationstrategies required for these schemes, and how they differ from ideal RMHDmodels. The impact of these results is discussed in the context of thenext-generation simulations of neutron star mergers.

Resistive and multi-fluid RMHD on graphics processing units