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Pad\'e approximants to truncated post-Newtonian neutron star models areconstructed. The Pad\'e models converge faster to the general relativistic (GR)solution than the truncated post-Newtonian ones. The evolution of initial datausing the Pad\'e models approximates better the evolution of full GR initialdata than the truncated Taylor models. In the absence of full GR initial data(e.g., for neutron star binaries or black hole binary systems), Pad\'e initialdata could be a better option than the straightforward truncated post-Newtonian(Taylor) initial data.Comment: 19 pages (RevTeX), 9 eps figures. Three new figures and additional  discussion on 1-parameter Pad\'e expansion. Accepted for publication in  Physical Review

Padé approximants for truncated post-Newtonian neutron star models