The correct spelling of the name "Judith Stern" is /dʒuːdɪθ stɜːrn/. The first name, "Judith," is spelled with the letter "J" pronounced as "dʒ." The second name, "Stern," is pronounced with the vowel sound "ɜː" in the second syllable, which is represented by the letter "e" in the spelling. Using IPA phonetic transcription helps to clarify the pronunciation of a word or name, especially if it is unfamiliar to the reader.
The phrase "Judith Stern" does not have an established etymology as it appears to be a combination of two personal names. "Judith" is of Hebrew origin, meaning "woman of Judea" or "praised". "Stern", on the other hand, is a German and Jewish Ashkenazi surname, derived from the word meaning "star". It is not clear why these two names have been combined, as they do not possess a common or shared etymology.