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).
C4th B.C., Antikensammlungen, Munich. HEKATE (or Hecate) was the goddess of magic, witchcraft, the night, moon, ghosts and necromancy. She was the only child of the Titanes Perses and Asteria from whom she received her power over heaven, earth, and sea.Hekate assisted Demeter in her search for Persephone, guiding her through the night with flaming torches.4th B.C., Antikensammlungen, Munich. HEKATE (or Hecate) was the goddess of magic, witchcraft, the night, moon, ghosts and necromancy. She was the only child of the Titanes Perses and Asteria from whom she received her power over heaven, earth, and sea.