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.