 This is a single center, non-randomized pilot study using twice a day enoxaparin injections in place of unfractionated heparin as a bridge to warfarin therapy. A total of approximately 100 patients will be enrolled. Patients will be instructed how to give the enoxaparin injections at home. Blood will be drawn every 1-2 days to monitor warfarin levels. Once discharged, patients will continue to have their blood level checked until warfarin is at the correct level, at which point enoxaparin will be discontinued. All patients who develop signs or symptoms of a stroke or abnormal blood clotting will be asked to return for an echocardiogram. An echocardiogram and 12-lead ECG will be done at approximately 30 days after the start of the study. 