Will my mac pro support this graphics card?

Hi

I have a 2007 3.0GHZ Mac pro, the current graphics card in it - ATI X1900 XT is giving me a lot of problems for a while now. I have taken it out cleaned it and put if back in but they are still happening. Then I found this artical about it -

http://www.macrumors.com/2010/09/27/apple-finally-acknowledges-and-addresses-ati -x1900-xt-issue/

Looks like there was a problem with it and apple were replacing all the cards within 3 years of purchase which I have missed. So I want to buy a new one, but I want to make sure my mac will support it. The problem is I do video work so I want a decent one and it needs to have 2 DVI ports. Would my mac support this card

http://www.amd.com/us/products/desktop/graphics/ati-radeon-hd-5000/hd-5870/Pages /ati-radeon-hd-5870-overview.aspx#4

Is there somewhere I can get a list of supported cards for a specific mac pro model?

Thanks!