Something that has worked for me in the past was to determine the offset (in milliseconds) between the user's timezone and GMT. Once you have the offset, you can simply add/subtract (depending on which way the conversion is going) to get the appropriate time in either timezone. I would usually accomplish this by setting the milliseconds field of a Calendar object, but I'm sure you could easily apply it to a timestamp object. Here's the code I use to get the offset
int offset = TimeZone.getTimeZone(timezoneId).getRawOffset();
timezoneId is the id of the user's timezone (such as EST).