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).
Fact 1 about Hestia: She was the first born child of the Titans Cronus and Rhea and was swallowed by her father at birth. Fact 2 about Hestia: Her brother, Zeus, later forced Cronus to disgorge her together with her other siblings- Hades, Poseidon and Demeter.