Here's a quick rundown of my vehicle and the problems it's having. I will gladly answer any questions to the best of my ability, which admittedly is limited or else I'd have fixed the dang car.

I am really hoping you all can shed some light on what could be wrong; otherwise I'm going to have to salvage this car and buy another which isn't my first choice but I really need a reliable vehicle.
1990 Chevy Lumina Euro 3.1ltr
130,200 actual miles
New Computer in 2001
New Starter in 2002
New alternator 20 mos ago
New Platinum 750 battery 2 mos ago and only 34 miles put on new battery.
Transmission checked and tranny filter changed/replaced in 2003
Regular oil changes and tune ups as recommended in manual.
I don't go running around too much and in Jan the battery died, I had AAA do a jump start and all was ok until the car sat for a few days again and then it was dead and needed another jump start. Ok, AAA guy says the battery is probably old( it was an Interstate bought in 1999) and needs to be replaced.
Since having it installed, the car has died whenever it decelerates to below 20mph or when I apply the brakes. It's like instead of stopping at an idle level it just keeps going down until it dies.
I've had it looked at by two reputable mechanics and both said the diagnostics 'say' it is running just fine and neither could figure out what could be the problem. Not only did they do the electronic diagnostics but a visual inspection and they tore into the engine/lines to check filters, hoses, fuses, etc. They did agree with me, it is dying-they just don't know why.
Oh, this has everyone baffled- for the first 10 min or so until the engine warms up-it doesn't die when I slow down or stop-it only happens after the engine is warm.
It is Not overheating and I did check all of my fluids including the radiator just to be sure and not trust the guages alone. I wondered if the computer could be going out again but I have no way of checking and the plug in diagnostics seem to say the car is running just fine.
Do you have any ideas what I could have going on here or do you think it's just time to let the old gal go to the big parking lot in the sky??
Thanks for your patience and I hope I explained things well enough.