A simple modification of the Euler method which eliminates the stability problems noted in the previous section is the backward Euler method: + = + (+, +). This differs from the (standard, or forward) Euler method in that the function is evaluated at the end point of the step, instead of the starting point.
*Artemis*. Artemis is the Goddess of the Hunt. She had 50 hounds and 50 Draiads (wood nymphs) and a quiver full of painless silver arrows. Along with her twin brother Apollo, she was the daughter of Zeus and Leto as well as being youngest of the three maiden goddesses (in addition to Hestia and Athena).
Goddess of Hearth and Home. Hestia, in the high dwellings of all, both deathless gods and men who walk on earth, you have gained an everlasting abode and highest honor: glorious is your portion and your right. For without you mortals hold no banquet, - where one does not duly pour sweet wine in offering to Hestia both first and last.