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Fifty Years of Stiffness

In: Recent Advances in Computational and Applied Mathematics

Author

Listed:
  • Luigi Brugnano

    (Università di Firenze, Dipartimento di Matematica)

  • Francesca Mazzia

    (Università di Bari, Dipartimento di Matematica)

  • Donato Trigiante

    (Università di Firenze, Dipartimento di Energetica)

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.

Suggested Citation

  • Luigi Brugnano & Francesca Mazzia & Donato Trigiante, 2011. "Fifty Years of Stiffness," Springer Books, in: Theodore E. Simos (ed.), Recent Advances in Computational and Applied Mathematics, chapter 0, pages 1-21, Springer.
    • Handle: RePEc:spr:sprchp:978-90-481-9981-5_1
    DOI: 10.1007/978-90-481-9981-5_1
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