Fifty Years of Stiffness

Luigi Brugnano (), Francesca Mazzia () and Donato Trigiante ()
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Luigi Brugnano: Università di Firenze, Dipartimento di Matematica
Francesca Mazzia: Università di Bari, Dipartimento di Matematica
Donato Trigiante: Università di Firenze, Dipartimento di Energetica

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

Abstract: 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: Stiffness; ODE problems; Discrete problems; Initial value problems; Boundary value problems; Boundary value methods; 65L05; 65L10; 65L99 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-90-481-9981-5_1

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