Fifty Years of Stiffness
Numerical Analysis
2011-01-24 v1
Abstract
The notion of stiffness, which originated in several applications of a different nature, has dominated the activities related to the numerical treatment of differential problems for the last fifty years. Contrary to what usually happens in Mathematics, its definition has been, for a long time, not formally precise (actually, there are too many of them). Again, the needs of applications, especially those arising in the construction of robust and general purpose codes, require nowadays a formally precise definition. In this paper, we review the evolution of such a notion and we also provide a precise definition which encompasses all the previous ones.
Keywords
Cite
@article{arxiv.0910.3780,
title = {Fifty Years of Stiffness},
author = {Luigi Brugnano and Francesca Mazzia and Donato Trigiante},
journal= {arXiv preprint arXiv:0910.3780},
year = {2011}
}
Comments
24 pages, 11 figures