Ubuntu :: Capturing ALL Output From Terminal To File?

I would like to capture all output spewed to a terminal session including processes that are terminated that were invoked from a script running in a terminal window. this is beyond capturing just stderr and stdout . for example

{
./script
} 2> stderr.cap 1>stdout.cap

if script is terminated (including because of memory violations) I get spewed output to the terminal I would like to capture that spewing to a file automatically or to a bit bucket /dev/null Is there another filehandle which can be redirected to do this? If so how or is there another way???