There are 14 possible sets of Silverline 2X2GB ->
http://www.mushkin.com/Memory/Silverline.aspx
The latest BIOS version is F6
http://www.gigabyte.us/products/product-page.aspx?pid=3515#bios {Improve Auto Green LAN compatibility}
There are only 2 DIMM slots, so if you have a 2X2GB they're all filled; one stick either channel should work.
Q - What OS?
Q - What Model of Silverline?
Q - Was the RAM sold as a Set? If not then pull 1-stick.
Q - Are you running AHCI Mode for the SATA?
Q - What if ANY BIOS changes?
OS, run MSCONFIG -> select Diagnostic and restart. If the BSOD disappears then it's a Conflict.
If you're running Windows 7 then Open the Event Manager and look for 'Critical' errors and post them here. {see image} Windows XP review the Dump File ->
http://support.microsoft.com/kb/315263
If 1 stick and MSCONFIG fails then see if the Gigabyte drivers per the link above are all up-to-date.
Failure, create a 'bootable' Memtest CD/DVD {ISO/zip} http://www.memtest.org/ run at least 2 passes.
Other symptoms: If the PSU is failing then you'll have all sorts of oddball things, sudden stops/starting/unpredictable failures. Typically the Event Manager or Debug will simply have 'Sudden Shut Down' with inconstant BSOD errors.
You can also try to Load Failsafe in the BIOS.
Windows 7 Event Manager: