Are high order variable step equistage initializers better than standard starting algorithms?

Authors:
M. P. Calvo;A. Portillo
Affiliations:
Departamento de Matemdtica Aplicada, Facultad de Ciencias, Universidad de Valladolid, Valladolid, Spain;Departamento de Matemática Aplicada, Escuela Universitatia Politécnica Universidad de Valladolid, Valladolid, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2004

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Abstract

In this paper a fourth order starting algorithm for variable step implicit Runge-Kutta methods is developed using the approach of equistage approximation proposed in (IMA J. Numer. Anal. 22 (2002) 153). This starting algorithm is used in combination with the well known RADAU5 code and numerical results are provided.