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Y. F. Chang and G. Corliss, “Solving Ordinary Differential Equations Using Taylor Series,” ACM Transactions on Mathematical Software, Vol. 8, No. 2, 1982, pp. 114-144. doi:10.1145/355993.355995

has been cited by the following article:

• TITLE: Third-Order Corrections and Mass-Shedding Limit of Rotating Neutron Stars Computed By a Complex-Plane Strategy

  AUTHORS: Ioannis Sfaelos, Vassilis Geroyannis

  KEYWORDS: General-Relativistic Polytropic Models; Hartle’s Perturbation Method; Neutron Stars; Numerical Methods; Mass-Shedding Limit

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.2 No.4, December 31, 2012

  ABSTRACT: We implement the so-called “complex-plane strategy” for computing general-relativistic polytropic models of uniformly rotating neutron stars. This method manages the problem by performing all numerical integrations, required within the framework of Hartle’s perturbation method, in the complex plane. We give emphasis on computing corrections up to third order in the angular velocity, and the mass-shedding limit. We also compute the angular momentum, moment of inertia, rotational kinetic energy, and gravitational potential energy of the models considered.