Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631109 | Applied Mathematics and Computation | 2011 | 13 Pages |
Abstract
We describe the search for algebraically stable Nordsieck methods of order p = s and stage order q = p, where s is the number of stages. This search is based on the theoretical criteria for algebraic stability proposed recently by Hill, and Hewitt and Hill, for general linear methods for ordinary differential equations. These criteria, which are expressed in terms of the non-negativity of the eigenvalues of a Hermitian matrix on the unit circle, are then verified computationally for the derived Nordsieck methods of order p ⩾ 2.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. BraÅ, Z. Jackiewicz,