You need stdout.log & stderr.log in Tomcat in Windows? Here is a guide how to get it.
1. If you use Apache as Windows service, the default behavior is the files to be created and filled. It it is not so, rightclick on taskbar service icon -> Configure -> Logging tab and check the values of 2 redirect dropdowns. They must be set to auto. The files are placed in %CATALINA_HOME%/logs folder.
2. If you use Tomcat not as windows service. I could not find the way of doing this. I redirected the output of the calling java in catalina.bat file but with no success. If you find a way of doing this, please post a comment below.