Fifty Years of Stiffness
作者： Luigi Brugnano , Francesca Mazzia , Donato Trigiante
DOI: 10.1007/978-90-481-9981-5_1
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摘要: The notion of stiffness, which originated in several applications a different nature, has dominated the activities related to numerical treatment differential problems for last fifty years. Contrary what usually happens Mathematics, its definition been, long time, not formally precise (actually, there are too many them). Again, needs applications, especially those arising construction robust and general purpose codes, require nowadays definition. In this paper, we review evolution such also provide encompasses all previous ones.
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Francesca Mazzia, Donato Trigiante, Efficient strategies for solving nonlinear problems in BVPs codes Nonlinear Studies. ,vol. 17, pp. 309- 326 ,(2010)
Willard L. Miranker, The computational theory of stiff differential equations Université Paris XI, U.E.R. mathématique. ,(1975)
D. Trigiante, L Brugnano, Solving differential problems by multistep initial and boundary value methods Gordon & Breach. ,(1998)
太郎 吉沢, Stability theory by Liapunov's second method Mathematical Society of Japan. ,(1966)
Francesca Mazzia, Jeff R. Cash, Conditioning and Hybrid Mesh Selection Algorithms for Two-Point Boundary Value Problems Scalable Computing: Practice and Experience. ,vol. 10, ,(2009) , 10.12694/SCPE.V10I4.626
Wolfgang Hahn, Stability of Motion ,(1967)
John Kenneth Galbraith, A Short History of Financial Euphoria ,(1993)
John C. Butcher, Numerical methods for ordinary differential equations ,(2003)
Uri M. Ascher, Robert D. Russell, Robert M. M. Mattheij, Numerical solution of boundary value problems for ordinary differential equations ,(1985)