Ph. D. Thesis:
''Integración de problemas stiff a través de métodos Runge-Kutta" (2000)
Advisors: D. Severiano González Pinto (University of La Laguna, Spain) and Dr. D. Juan Ignacio Montijano Torcal (University of Zaragoza, Spain) [pdf] (in Spanish)
Publications:
Esquemas iterativos para métodos Runge-Kutta tipo Gauss, S. González Pinto, C. González Concepción, J.I. Montijano., S. Pérez Rodríguez. 25 Ańos de Matemáticas en la Universidad de La Laguna, Secretariado de Publicaciones, Universidad de La Laguna, pp. 339-350 (1996).[preprint]
On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. Journal of Computational and Applied Mathematics, Vol. 82 (1997), pp. 129-148. [preprint]
Algoritmos de arranque para métodos Runge-Kutta implícitos, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. Actas del XVI CEDYA/VI CMA, Edit. R. Montenegro, G. Montero y G.Winter, (1999) pp. 1149-1156.[preprint]
On the starting algorithms for fully implicit Runge-Kutta methods, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. BIT Numerical Analysis, Vol. 40, 4 (2000) pp. 685-714.[preprint]
On the implementation of high--order implicit Runge-Kutta methods, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. Computers and Mathematics with Applications, Vol. 41 (2001) pp.1009-1024.[preprint]
Stabilized starting algorithms for collocation Runge-Kutta methods, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. Computers and Mathematics with Applications, Vol. 45 (2003) pp. 411-428. [preprint]
Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. Applied Numerical Mathematics, Vol 44 (2003) pp. 77-94. [preprint]
Two-step error estimators for implicit Runge-Kutta methods applied to stiff systems, S. González Pinto, J.I. Montijano, S. Pérez Rodríguez. ACM Transactions on Mathematical Software, Vol 30, 1 (2004) pp. 1-18. [preprint]
Efficient iterations for Gauss methods on second order problems, S. González Pinto, S. Pérez Rodríguez, R. Rojas Bello. Journal of Computational and Applied Mathematics, Vol. 189 (2006) pp. 80-97. [preprint]
Corrigendum to 'Eficient iterations for Gauss methods on second order problems', [J. Comput. Appl. Math., Vol. 189 (2006) pp. 80-97] S. González Pinto, S. Pérez Rodríguez, R. Rojas Bello. Journal of Computational and Applied Mathematics, Vol. 205 (2007) pp. 583.
A code based on Gauss method for second differential systems, S. González Pinto, S. Pérez Rodríguez, L. Rández, R. Rojas Bello. American Institute of Physics, AIP Proceedings, No. 936, pp. 424-427, Ed. T. E. Simos, New York (2007).
GAUSS2, a Fortran 90 code for second order initial value problems (2nd. version), S. González Pinto, S. Pérez Rodríguez, R. Rojas Bello. http://www.netlib.org/ode/ (2008)