it would be a good idea to check your charging system (alternator). An alternator cannot charge up a completely dead battery in such a short time after a jump start.
If your car's various computers sense a voltage drop, all hell will break loose and your car will not run correctly unless both battery and alternator are totally up to their top condition.
If your battery drains again, it must be recharged on a charging unit. Trying to charge a dead battery with the alternator may damage your alternator (and may have already).
it's possible that a new battery is only curing the symptom and not the cause.