Nystrom Methods in the RKQ Algorithm for Initial-value Problems

Details Nystrom Methods in the RKQ Algorithm for Initial-value Problems Nystrom Methods in the RKQ Algorithm for Initial-value Problems

2011-10-31

arxiv.org/abs/1110.6749v2

Mathematics

Numerical Analysis

This is an extension of ideas published in J. Math. Res. (open access); see refs [1] and [2]

Scientific paper

We incorporate explicit Nystrom methods into the RKQ algorithm for stepwise global error control in numerical solutions of initial-value problems. The initial-value problem is transformed into an explicitly second-order problem, so as to be suitable for Nystrom integration. The Nystrom methods used are fourth-order, fifth-order and 10th-order. Two examples demonstrate the effectiveness of the algorithm.

Affiliated with

Also associated with

No associations

Rating

Nystrom Methods in the RKQ Algorithm for Initial-value Problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nystrom Methods in the RKQ Algorithm for Initial-value Problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nystrom Methods in the RKQ Algorithm for Initial-value Problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147454