Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, U.S.A.
Abstract:
A review of previously published work extending the rational basis to include Hermite interpolation is given. New high order transformation methods are described for Hermite interpolation. The intimate connection between the two basic methods both in the construction of transformations and the construction of basis functions is highlighted and the basic high order transformation method is generalised to handle elements with an arbitrary number of sides.