I personally highly not recommend the method from Savage's. Because I won't use the brush to break in my brand new barrel and run back and forth for 5 times (Sounds nonsense). I think it will leave a bunch of scatches in the barrel.
From the Browning's web page they recommend more mild and in theory more logical way to break in a new barrel. the web site is...
www.browning.com/faq/detail.asp?ID=112
I also have found a very good web site teaching shooters to break in a new barrel with clear explainations. This web page has been added to my favarite and it matches to what Browning's recommendation.
www.shootingsoftware.com/fouling.htm