Selected answers from the Dumb SEO Questions Facebook & G+ community.
Kia Kamgar: Yes, but depending on the system you use should it not be automatic?!
S?awomir Zdunek: No, I don't. I know. Shame on me. I think it could speed up the process of indexing but I'm too busy or too lazy. I update the sitemap from time to time. ;
Ovidiu Burduja: It can be done automatically, I just keep track of the entries in #sitemap.xml once a week.
Steve Bonin: +Ovidiu Burduja you just add the URL to the current sitemap?
Ovidiu Burduja: +Steve Bonin, yes, the URL to the current xml sitemap of the site is added to: robots.txt file and via Google webmaster tools (see https://support.google.com/webmasters/answer/183669?hl=en ); the content of a typical sitemap: http://teamtrust.co.uk/post-sitemap.xml (test site, sitemap is automatically generated).
Tino Triste: It should be done dynamically. Look for a sitemap plugin for your blogging platform.
Ovidiu Burduja: It's based on users' input, maybe you'd like to add your two cents, +Top Ranks ? :)
W.E. Jonk: From the expert panel in this weeks SEO Questions hangout on air on 01:11:41 into the YouTube video: https://dumbseoquestions.com/q/do_you_update_your_sitemap_each_time_you_do_a_blog_post