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Computation of blowing-up solutions for second-order differential equations using re-scaling techniques

Nabil Nassif 1 Noha Makhoul-Karam 2, 3 Yeran Soukiassian 1
1 Department of mathematics [Beirut]
2 SAGE - Simulations and Algorithms on Grids for Environment
Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE
3 IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires
Abstract : This paper presents a new technique to solve efficiently initial value ordinary differential equations of the second-order which solutions tend to have a very unstable behavior.
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https://hal.inria.fr/hal-00782467
Contributor : Jocelyne Erhel <>
Submitted on : Tuesday, January 29, 2013 - 5:37:21 PM
Last modification on : Wednesday, June 16, 2021 - 3:40:56 AM

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Nabil Nassif, Noha Makhoul-Karam, Yeran Soukiassian. Computation of blowing-up solutions for second-order differential equations using re-scaling techniques. Journal of Computational and Applied Mathematics, Elsevier, 2009, 227 (1), pp.185-195. ⟨10.1016/j.cam.2008.07.020⟩. ⟨hal-00782467⟩

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