Progress in GRMHD simulations with SpECTRE

We present recent improvements in general relativistic hydrodynamics simulations with the open source numerical relativity code SpECTRE. Major updates include support for tabulated equations of states, implementation of higher-order and positivity-preserving adaptive order finite difference schemes in our discontinuous Galerkin-finite difference (DG-FD) hybrid solver, and integrating the DG-FD hybrid solver with spacetime evolution for fully general relativistic simulations. As a benchmark, we show a few recent tests including long-term (>100ms) stable simulations of isolated neutron star with strong magnetic field.