On the relations between block-BVMs and Runge-Kutta collocation methods.
by
Lidia Aceto
Dipartimento di Matematica Applicata - University of Pisa - Italy
Coauthors: Cecilia Magherini

In the nineties, Boundary Value Methods (BVMs) have been introduced for the numerical solution of differential problems. In particular, their block version seems to be well-suited for solving both dissipative and conservative initial value problems for ODEs. In this talk block-BVMs, based on non-uniform internal mesh points, and their relations with well-known Runge-Kutta collocation methods will be presented. The possibility of varying the block-size makes them more flexible and this comes out to be a considerable advantage for some classes of problems. Possible strategies for extending the dimension of each block, along with examples showing the above mentioned flexibility, will be proposed.

Date received: March 18, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawz-65.