Time evolution in SpECTRE

SpECTRE is a task-based numerical relativity code, designed to simulate a wide variety of physical systems. While primarily focused on black holes and neutron stars, SpECTRE has also been used for work on other problems, including beyond-GR systems and force-free electrodynamics. The time integration for these systems presents a variety of challenges, including widely spatially varying timescales and stiff equations. I will discuss some of the features supported by SpECTRE's generic time evolution code, such as variable-order local time stepping and IMEX integration.