Stretch Graphics to fit window java

I am currently having a very similar issue to the one outlined here: http://www.java-gaming.org/index.php?topic=29961.0 however the solutions suggested haven't worked for me when I've tried to apply them.

I have an 800x600 game screen that I want to stretch to fit a 1920x1080 frame. My render method:

 private void render() {
    BufferStrategy bs = this.getBufferStrategy();
    if (bs == null) {
        this.createBufferStrategy(3);
        return;
    }
    Graphics g = bs.getDrawGraphics();
    //do render stuff

    g.dispose();
    bs.show();
}