According to Merriam-Webster, the 'word division dots' for Schrödinger are placed like this: Schrö·ding·er.
However, some sources (mostly older ones), use the spelling Schroedinger, with "oe" instead of "ö". Sometimes this appears in the title of the work, so it probably shouldn't be casually rewritten. Unfortunately, I can't find a dictionary that gives both this version of the surname as well as its word division dots.
Where should the word division dots be for that version of the surname? Is it, perhaps, Schroe·ding·er?
I understand that different dictionaries sometimes give different word division dots for the same word. For example, Merriam-Webster has it as acad·e·my, while American Heritage has it as a·cad·e·my, with one extra breaking point. (In this case, the reason is clear: Merriam-Webster generally doesn't allow word division to leave a single letter at the beginning or the end of the line; see here.) For definiteness, I would like an answer for Schroedinger that is most consistent with the principles (whatever they are) used by Merriam-Webster.
As far as these principles, one thing I know is that the word division dots cannot be deduced from the locations of the phonetic syllables. Considerations that do enter can be complex, as the following example shows:
Poker is an elucidating example of word division. There are two noun entries for the word: one for a metal rod for stirring a fire and one for various card games. The homographs of poker are pronounced the same, as \ˈpō-kər. Yet, for the "rod" entry, the orthographic word division is pok·er, and for the "game" one, the division is po·ker. The reason for this is that the first homograph (the rod) is made up of two parts (or morphemes): the stem poke and the suffix -er. English spelling division rules require words to be divided between different morphemes so we get the division pok·er. However, the second poker (the game) does not have two parts. It consists of one morpheme (it is a modification of the French poque) so it gets divided as po·ker.
Summary
According to whatever principles of placing word division dots are used by Merriam-Webster, where should one place the word division dots in the word Schroedinger (where we have an "oe" instead of "ö")?