Typically, Monks of the Undying Way are cremated, and the ashes scattered in whatever area of the city was nearest to the deceased's heart. Of course, a small piece of the cadaver is retained (usually the tip of a finger) to make a Resurrection possible, should that become a necessity at some future time.
Don't worry, though, this won't be done immediately, for sure. Generally only after a reasonable time for a Raise Dead to be performed has elapsed with no such raising occurring.
What did you mean, "in the city cemetery's elven section if necessary?"