On the relations between B2V Ms and Runge-Kutta collocation methods

Authors:
L. Aceto;C. Magherini
Affiliations:
Dipartimento di Matematica Applicata "U.Dini", Universití di Pisa, Italy;Dipartimento di Matematica Applicata "U.Dini", Universití di Pisa, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

The principal aim of this paper is a rigorous analysis of the relations between Block Boundary Value Methods (B"2V Ms) with minimal blocksize defined over a suitable nonuniform finer mesh and well-known Runge-Kutta collocation methods. Moreover, a further aspect that will be briefly investigated is the construction of an extended finer mesh for building B"2V Ms with nonminimal blocksize. Some advantages that may arise from the use of the so-obtained methods will be also discussed.