In this paper, we propose a static (compile-time) scheduling extension that considers reconfiguration and task execution together when scheduling tasks on reconfigurable hardware, designated as Mutually Exclusive Groups (-MEG), that can be used to extend any static list scheduler. In simulation, using -MEG generates higher quality schedules than those generated by the hardware-software co-scheduler proposed by Mei, et al. and using a single configuration with the base scheduler. Additionally, we propose a dynamic (run-time), fault tolerant scheduler targeted to reconfigurable hardware. We present promising preliminary results using the proposed fault-tolerant dynamic scheduler, showing that application performance gracefully degrades when shrinking the available processing resources.