nohup command

nohup ./myscript.sh>log_myscript.log 2>&1 &
tail -f log_myscript.log

nohup ./myscript.sh>log_myscript_`date +%Y%m%d`.log 2>&1 &
tail -f log_myscript_`date +%Y%m%d`.log

`date +%Y%m%d` - grabs current date, inserts it into filename
nohup          - script run even after terminal/ssh session ends
>log_myscri... - captures output to log file named log_myscr.. 
2>&1           - outputs stderr to stdout
&              - makes it run in the background
tail -f        - watches log, CTRL-C will not stop script