The Icelandic word Skjálfandi literally translates to trembling which may refer to earthquakes in the area.
There is a village on the island, no longer inhabited, composed of a few houses, a school and a church.
Garðar Svavarsson was one of the first Scandinavians to settle in Iceland, doing so around 860 CE.
He built a house in Skjálfandi, but spent only the following winter months there before leaving Iceland.
His slave Náttfari was left behind and continued to live on the farm but was chased away from it later by a Norse settler, forcing Náttfari to build a new farm on poorer land in Náttfaravík ([ˈnauhtˌfaːraˌviːk]; Old Norse: [ˈnɑːtːˌfɑrɑˌwiːk]) by Skjálfandi.