Fifty Years of Stiffness

Details Fifty Years of Stiffness Fifty Years of Stiffness

2009-10-20

arxiv.org/abs/0910.3780v1

Recent Advances in Computational and Applied Mathematics, Springer 2011, pp. 1-21

Mathematics

Numerical Analysis

24 pages, 11 figures

Scientific paper

10.1007/978-90-481-9981-5_1

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.

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