1999 Dodge Durango Question: 99 dodge engine shutting off intermitt had jump started other car day before

found battery to be bad had tested replaced /when it stalls out .it cranks wont start up auto shutoff relay,starts shatering ,when it cools down will start up again,seems to be a therma prob ,replaced cpu a couple years ago,seems to have same problem .live in phoenix ,can i test computer module with mutimeter/any ideas