Barrio R. Performance of the Taylor series method for ODEs/DAEs[J]. Applied Mathematics and Computation, 2005, 163(2): 525-545.
2
Martn P, Ferrndiz J M. Behaviour of the SMF method for the numerical integration of satellite orbits[J]. Celestial Mechanics and Dynamical Astronomy, 1995, 63(1): 29-40.
3
Deprit A, Rom A. ASYMPTOTIC REPRESENTATION OF THE CYCLE OF VAN DER POL\u0027S EQUATION FOR SMALL DAMPING COEFFICIENTS,[J]. Zeitschrift für Angewandte Mathematik und Physik, 1967, 18(5): 736-747.
4
Garciaalonso F, Reyes J A. A new method for exact integration of some perturbed stiff linear systems of oscillatory type[J]. Applied Mathematics and Computation, 2009, 215(7): 2649-2662.
5
A Reyes · Jose Augusto Abreu Reyes · Monica Cortesmolina · Y Villacampa · F Garciaalonso. An application of the Φ-functions series method to the integration of seismic modelling. 2013.
6
Auxiliadora Reyes Marquez · Jose Antonio Reyes Perales · Monica Cortes Molina · Fernando Luis Garcia Alonso. A SERIES METHOD APPLIED TO ENGINEERING CALCULATIONS IN STRUCTURAL DYNAMICS. 2014.
7
Jose Augusto Abreu Reyes · F Garciaalonso · Y Villacampa. An Adaptation of the Scheifele Method to Stiff Systems of Differential Equations. 2008.
Let$χ$be an analytic vector field defined in a real-analytic manifold of dimension three. We prove that all the singularities of$χ$can be made elementary by a finite number of blowing-ups in the ambient space.