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).
Although both Poseidon and Apollo wanted to marry her, Hestia made an oath to Zeus that she would remain forever pure and undefiled, never entering into a union with a man. She is a goddess of the Olympian generation, daughter of Cronus and Rhea and sister to Zeus, Poseidon, Hades, Demeter and Hera. When Cronus swallowed his children for fear one would dethrone him, Hestia was the eldest and thus swallowed first.